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This commit is contained in:
Morten Hjorth-Jensen
2023-08-21 10:31:37 +02:00
parent 7cceb6f7bd
commit 253c003a3a
73 changed files with 686 additions and 479 deletions
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doc/pub/week34/html/._week34-bs000.html
+5 -2
View File
@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
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'general-linear-models-and-linear-algebra'),
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@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs001.html
+5 -2
View File
@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
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'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
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@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs002.html
+5 -2
View File
@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs003.html
+5 -2
View File
@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs004.html
+5 -2
View File
@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs005.html
+5 -2
View File
@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs006.html
+5 -2
View File
@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs007.html
+5 -2
View File
@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs008.html
+5 -2
View File
@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs009.html
+5 -2
View File
@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs010.html
+5 -2
View File
@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs011.html
+5 -2
View File
@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs012.html
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
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'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs013.html
+5 -2
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs014.html
+5 -2
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs015.html
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs016.html
+5 -2
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs017.html
+5 -2
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs018.html
+5 -2
View File
@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs019.html
+5 -2
View File
@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs020.html
+5 -2
View File
@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs021.html
+5 -2
View File
@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs022.html
+5 -2
View File
@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs023.html
+5 -2
View File
@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
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'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs024.html
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs025.html
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs026.html
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs027.html
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs028.html
+5 -2
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs029.html
+5 -2
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs030.html
+5 -2
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs031.html
+5 -2
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs032.html
+5 -2
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs033.html
+5 -2
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
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None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs034.html
+5 -2
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
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'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs035.html
+5 -2
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
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'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
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'general-linear-models-and-linear-algebra'),
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@@ -316,7 +319,7 @@ MathJax.Hub.Config({
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<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs036.html
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
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<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs037.html
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
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<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs038.html
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
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@@ -316,7 +319,7 @@ MathJax.Hub.Config({
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<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs039.html
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
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@@ -316,7 +319,7 @@ MathJax.Hub.Config({
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<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
@@ -360,16 +363,16 @@ MathJax.Hub.Config({
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<p>Regression modeling deals with the description of the sampling distribution of a given random variable \( y \) and how it varies as function of another variable or a set of such variables \( \boldsymbol{x} =[x_0, x_1,\dots, x_{n-1}]^T \).
The first variable is called the <b>dependent</b>, the <b>outcome</b> or the <b>response</b> variable while the set of variables \( \boldsymbol{x} \) is called the independent variable, or the predictor variable or the explanatory variable.
The first variable is called the <b>dependent</b>, the <b>outcome</b> or the <b>response</b> variable while the set of variables \( \boldsymbol{x} \) is called the independent variable, or the predictor variable or the explanatory variable, or simply just the <b>inputs</b>.
</p>
<p>A regression model aims at finding a likelihood function \( p(\boldsymbol{y}\vert \boldsymbol{x}) \), that is the conditional distribution for \( \boldsymbol{y} \) with a given \( \boldsymbol{x} \). The estimation of \( p(\boldsymbol{y}\vert \boldsymbol{x}) \) is made using a data set with </p>
<p>A regression model aims at finding a likelihood function \( p(\boldsymbol{y}\vert \boldsymbol{x}) \) or in the more traditional sense a function \( \boldsymbol{y}(\boldsymbol{x}) \), that is the conditional distribution for \( \boldsymbol{y} \) with a given \( \boldsymbol{x} \). The estimation of \( p(\boldsymbol{y}\vert \boldsymbol{x}) \) is made using a data set with </p>
<ul>
<li> \( n \) cases \( i = 0, 1, 2, \dots, n-1 \)</li>
<li> Response (target, dependent or outcome) variable \( y_i \) with \( i = 0, 1, 2, \dots, n-1 \)</li>
<li> \( p \) so-called explanatory (independent or predictor) variables \( \boldsymbol{x}_i=[x_{i0}, x_{i1}, \dots, x_{ip-1}] \) with \( i = 0, 1, 2, \dots, n-1 \) and explanatory variables running from \( 0 \) to \( p-1 \). See below for more explicit examples.</li>
<li> \( p \) so-called explanatory (independent or predictor or feature) variables \( \boldsymbol{x}_i=[x_{i0}, x_{i1}, \dots, x_{ip-1}] \) with \( i = 0, 1, 2, \dots, n-1 \) and explanatory variables running from \( 0 \) to \( p-1 \). See below for more explicit examples.</li>
</ul>
<p> The goal of the regression analysis is to extract/exploit relationship between \( \boldsymbol{y} \) and \( \boldsymbol{x} \) in or to infer causal dependencies, approximations to the likelihood functions, functional relationships and to make predictions, making fits and many other things.</p>
<p> The goal of the regression analysis is to extract/exploit relationship between \( \boldsymbol{y} \) and \( \boldsymbol{x} \) in order to infer specific dependencies, approximations to the likelihood functions, functional relationships and to make predictions, making fits and many other things.</p>
</div>
</div>
doc/pub/week34/html/._week34-bs040.html
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
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@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
@@ -359,7 +362,7 @@ MathJax.Hub.Config({
<div class="panel-body">
<!-- subsequent paragraphs come in larger fonts, so start with a paragraph -->
<p>Consider an experiment in which \( p \) characteristics of \( n \) samples are
<p>Consider an experiment in which \( p \) characteristics/features of \( n \) samples are
measured. The data from this experiment, for various explanatory variables \( p \) are normally represented by a matrix
\( \mathbf{X} \).
</p>
doc/pub/week34/html/._week34-bs041.html
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
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@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs042.html
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
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@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
@@ -354,11 +357,11 @@ MathJax.Hub.Config({
<p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p> <!-- add vertical space -->
<a name="part0042"></a>
<!-- !split -->
<h2 id="general-linear-models" class="anchor">General linear models </h2>
<h2 id="general-linear-models-and-linear-algebra" class="anchor">General linear models and linear algebra </h2>
<div class="panel panel-default">
<div class="panel-body">
<!-- subsequent paragraphs come in larger fonts, so start with a paragraph -->
<p>Before we proceed let us study a case from linear algebra where we aim at fitting a set of data \( \boldsymbol{y}=[y_0,y_1,\dots,y_{n-1}] \). We could think of these data as a result of an experiment or a complicated numerical experiment. These data are functions of a series of variables \( \boldsymbol{x}=[x_0,x_1,\dots,x_{n-1}] \), that is \( y_i = y(x_i) \) with \( i=0,1,2,\dots,n-1 \). The variables \( x_i \) could represent physical quantities like time, temperature, position etc. We assume that \( y(x) \) is a smooth function. </p>
<p>Before we proceed let us study a case where we aim at fitting a set of data \( \boldsymbol{y}=[y_0,y_1,\dots,y_{n-1}] \). We could think of these data as a result of an experiment or a complicated numerical experiment. These data are functions of a series of variables \( \boldsymbol{x}=[x_0,x_1,\dots,x_{n-1}] \), that is \( y_i = y(x_i) \) with \( i=0,1,2,\dots,n-1 \). The variables \( x_i \) could represent physical quantities like time, temperature, position etc. We assume that \( y(x) \) is a smooth function. </p>
<p>Since obtaining these data points may not be trivial, we want to use these data to fit a function which can allow us to make predictions for values of \( y \) which are not in the present set. The perhaps simplest approach is to assume we can parametrize our function in terms of a polynomial of degree \( n-1 \) with \( n \) points, that is</p>
$$
doc/pub/week34/html/._week34-bs043.html
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
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<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs044.html
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
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<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs045.html
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
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'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs046.html
+5 -2
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs047.html
+5 -2
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs048.html
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs049.html
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs050.html
+5 -2
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs051.html
+5 -2
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs052.html
+5 -2
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs053.html
+5 -2
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs054.html
+5 -2
View File
@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs055.html
+5 -2
View File
@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs056.html
+5 -2
View File
@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
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None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
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<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs057.html
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
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'general-linear-models-and-linear-algebra'),
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@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs058.html
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
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<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs059.html
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs060.html
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
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<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs061.html
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._week34-bs039.html#regression-analysis-overarching-aims" style="font-size: 80%;"><b>Regression analysis, overarching aims</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
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<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs062.html
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
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<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
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<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs063.html
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
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'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
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<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs064.html
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
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'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
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'general-linear-models-and-linear-algebra'),
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2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
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<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/._week34-bs065.html
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
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'general-linear-models-and-linear-algebra'),
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2,
None,
@@ -316,7 +319,7 @@ MathJax.Hub.Config({
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<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/week34-bs.html
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@@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d
None,
'regression-analysis-overarching-aims-ii'),
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@@ -316,7 +319,7 @@ MathJax.Hub.Config({
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<!-- navigation toc: --> <li><a href="._week34-bs040.html#regression-analysis-overarching-aims-ii" style="font-size: 80%;"><b>Regression analysis, overarching aims II</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs041.html#examples" style="font-size: 80%;"><b>Examples</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models" style="font-size: 80%;"><b>General linear models</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs042.html#general-linear-models-and-linear-algebra" style="font-size: 80%;"><b>General linear models and linear algebra</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs043.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs044.html#rewriting-the-fitting-procedure-as-a-linear-algebra-problem-more-details" style="font-size: 80%;"><b>Rewriting the fitting procedure as a linear algebra problem, more details</b></a></li>
<!-- navigation toc: --> <li><a href="._week34-bs046.html#generalizing-the-fitting-procedure-as-a-linear-algebra-problem" style="font-size: 80%;"><b>Generalizing the fitting procedure as a linear algebra problem</b></a></li>
doc/pub/week34/html/week34-reveal.html
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@@ -2591,17 +2591,17 @@ Similarly, <a href="https://arxiv.org/abs/1803.08823" target="_blank">Mehta et a
<p>
<p>Regression modeling deals with the description of the sampling distribution of a given random variable \( y \) and how it varies as function of another variable or a set of such variables \( \boldsymbol{x} =[x_0, x_1,\dots, x_{n-1}]^T \).
The first variable is called the <b>dependent</b>, the <b>outcome</b> or the <b>response</b> variable while the set of variables \( \boldsymbol{x} \) is called the independent variable, or the predictor variable or the explanatory variable.
The first variable is called the <b>dependent</b>, the <b>outcome</b> or the <b>response</b> variable while the set of variables \( \boldsymbol{x} \) is called the independent variable, or the predictor variable or the explanatory variable, or simply just the <b>inputs</b>.
</p>
<p>A regression model aims at finding a likelihood function \( p(\boldsymbol{y}\vert \boldsymbol{x}) \), that is the conditional distribution for \( \boldsymbol{y} \) with a given \( \boldsymbol{x} \). The estimation of \( p(\boldsymbol{y}\vert \boldsymbol{x}) \) is made using a data set with </p>
<p>A regression model aims at finding a likelihood function \( p(\boldsymbol{y}\vert \boldsymbol{x}) \) or in the more traditional sense a function \( \boldsymbol{y}(\boldsymbol{x}) \), that is the conditional distribution for \( \boldsymbol{y} \) with a given \( \boldsymbol{x} \). The estimation of \( p(\boldsymbol{y}\vert \boldsymbol{x}) \) is made using a data set with </p>
<ul>
<p><li> \( n \) cases \( i = 0, 1, 2, \dots, n-1 \)</li>
<p><li> Response (target, dependent or outcome) variable \( y_i \) with \( i = 0, 1, 2, \dots, n-1 \)</li>
<p><li> \( p \) so-called explanatory (independent or predictor) variables \( \boldsymbol{x}_i=[x_{i0}, x_{i1}, \dots, x_{ip-1}] \) with \( i = 0, 1, 2, \dots, n-1 \) and explanatory variables running from \( 0 \) to \( p-1 \). See below for more explicit examples.</li>
<p><li> \( p \) so-called explanatory (independent or predictor or feature) variables \( \boldsymbol{x}_i=[x_{i0}, x_{i1}, \dots, x_{ip-1}] \) with \( i = 0, 1, 2, \dots, n-1 \) and explanatory variables running from \( 0 \) to \( p-1 \). See below for more explicit examples.</li>
</ul>
<p>
<p> The goal of the regression analysis is to extract/exploit relationship between \( \boldsymbol{y} \) and \( \boldsymbol{x} \) in or to infer causal dependencies, approximations to the likelihood functions, functional relationships and to make predictions, making fits and many other things.</p>
<p> The goal of the regression analysis is to extract/exploit relationship between \( \boldsymbol{y} \) and \( \boldsymbol{x} \) in order to infer specific dependencies, approximations to the likelihood functions, functional relationships and to make predictions, making fits and many other things.</p>
</div>
</section>
@@ -2611,7 +2611,7 @@ The first variable is called the <b>dependent</b>, the <b>outcome</b> or the <b>
<b></b>
<p>
<p>Consider an experiment in which \( p \) characteristics of \( n \) samples are
<p>Consider an experiment in which \( p \) characteristics/features of \( n \) samples are
measured. The data from this experiment, for various explanatory variables \( p \) are normally represented by a matrix
\( \mathbf{X} \).
</p>
@@ -2663,11 +2663,11 @@ so-called <a href="https://www.sciencedirect.com/science/article/pii/S0957417407
</section>
<section>
<h2 id="general-linear-models">General linear models </h2>
<h2 id="general-linear-models-and-linear-algebra">General linear models and linear algebra </h2>
<div class="alert alert-block alert-block alert-text-normal">
<b></b>
<p>
<p>Before we proceed let us study a case from linear algebra where we aim at fitting a set of data \( \boldsymbol{y}=[y_0,y_1,\dots,y_{n-1}] \). We could think of these data as a result of an experiment or a complicated numerical experiment. These data are functions of a series of variables \( \boldsymbol{x}=[x_0,x_1,\dots,x_{n-1}] \), that is \( y_i = y(x_i) \) with \( i=0,1,2,\dots,n-1 \). The variables \( x_i \) could represent physical quantities like time, temperature, position etc. We assume that \( y(x) \) is a smooth function. </p>
<p>Before we proceed let us study a case where we aim at fitting a set of data \( \boldsymbol{y}=[y_0,y_1,\dots,y_{n-1}] \). We could think of these data as a result of an experiment or a complicated numerical experiment. These data are functions of a series of variables \( \boldsymbol{x}=[x_0,x_1,\dots,x_{n-1}] \), that is \( y_i = y(x_i) \) with \( i=0,1,2,\dots,n-1 \). The variables \( x_i \) could represent physical quantities like time, temperature, position etc. We assume that \( y(x) \) is a smooth function. </p>
<p>Since obtaining these data points may not be trivial, we want to use these data to fit a function which can allow us to make predictions for values of \( y \) which are not in the present set. The perhaps simplest approach is to assume we can parametrize our function in terms of a polynomial of degree \( n-1 \) with \( n \) points, that is</p>
<p>&nbsp;<br>
doc/pub/week34/html/week34-solarized.html
+11 -8
View File
@@ -182,7 +182,10 @@ div.toc p,a {
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -2570,16 +2573,16 @@ Similarly, <a href="https://arxiv.org/abs/1803.08823" target="_blank">Mehta et a
<p>
<p>Regression modeling deals with the description of the sampling distribution of a given random variable \( y \) and how it varies as function of another variable or a set of such variables \( \boldsymbol{x} =[x_0, x_1,\dots, x_{n-1}]^T \).
The first variable is called the <b>dependent</b>, the <b>outcome</b> or the <b>response</b> variable while the set of variables \( \boldsymbol{x} \) is called the independent variable, or the predictor variable or the explanatory variable.
The first variable is called the <b>dependent</b>, the <b>outcome</b> or the <b>response</b> variable while the set of variables \( \boldsymbol{x} \) is called the independent variable, or the predictor variable or the explanatory variable, or simply just the <b>inputs</b>.
</p>
<p>A regression model aims at finding a likelihood function \( p(\boldsymbol{y}\vert \boldsymbol{x}) \), that is the conditional distribution for \( \boldsymbol{y} \) with a given \( \boldsymbol{x} \). The estimation of \( p(\boldsymbol{y}\vert \boldsymbol{x}) \) is made using a data set with </p>
<p>A regression model aims at finding a likelihood function \( p(\boldsymbol{y}\vert \boldsymbol{x}) \) or in the more traditional sense a function \( \boldsymbol{y}(\boldsymbol{x}) \), that is the conditional distribution for \( \boldsymbol{y} \) with a given \( \boldsymbol{x} \). The estimation of \( p(\boldsymbol{y}\vert \boldsymbol{x}) \) is made using a data set with </p>
<ul>
<li> \( n \) cases \( i = 0, 1, 2, \dots, n-1 \)</li>
<li> Response (target, dependent or outcome) variable \( y_i \) with \( i = 0, 1, 2, \dots, n-1 \)</li>
<li> \( p \) so-called explanatory (independent or predictor) variables \( \boldsymbol{x}_i=[x_{i0}, x_{i1}, \dots, x_{ip-1}] \) with \( i = 0, 1, 2, \dots, n-1 \) and explanatory variables running from \( 0 \) to \( p-1 \). See below for more explicit examples.</li>
<li> \( p \) so-called explanatory (independent or predictor or feature) variables \( \boldsymbol{x}_i=[x_{i0}, x_{i1}, \dots, x_{ip-1}] \) with \( i = 0, 1, 2, \dots, n-1 \) and explanatory variables running from \( 0 \) to \( p-1 \). See below for more explicit examples.</li>
</ul>
<p> The goal of the regression analysis is to extract/exploit relationship between \( \boldsymbol{y} \) and \( \boldsymbol{x} \) in or to infer causal dependencies, approximations to the likelihood functions, functional relationships and to make predictions, making fits and many other things.</p>
<p> The goal of the regression analysis is to extract/exploit relationship between \( \boldsymbol{y} \) and \( \boldsymbol{x} \) in order to infer specific dependencies, approximations to the likelihood functions, functional relationships and to make predictions, making fits and many other things.</p>
</div>
@@ -2589,7 +2592,7 @@ The first variable is called the <b>dependent</b>, the <b>outcome</b> or the <b>
<b></b>
<p>
<p>Consider an experiment in which \( p \) characteristics of \( n \) samples are
<p>Consider an experiment in which \( p \) characteristics/features of \( n \) samples are
measured. The data from this experiment, for various explanatory variables \( p \) are normally represented by a matrix
\( \mathbf{X} \).
</p>
@@ -2639,11 +2642,11 @@ so-called <a href="https://www.sciencedirect.com/science/article/pii/S0957417407
<!-- !split --><br><br><br><br><br><br><br><br><br><br>
<h2 id="general-linear-models">General linear models </h2>
<h2 id="general-linear-models-and-linear-algebra">General linear models and linear algebra </h2>
<div class="alert alert-block alert-block alert-text-normal">
<b></b>
<p>
<p>Before we proceed let us study a case from linear algebra where we aim at fitting a set of data \( \boldsymbol{y}=[y_0,y_1,\dots,y_{n-1}] \). We could think of these data as a result of an experiment or a complicated numerical experiment. These data are functions of a series of variables \( \boldsymbol{x}=[x_0,x_1,\dots,x_{n-1}] \), that is \( y_i = y(x_i) \) with \( i=0,1,2,\dots,n-1 \). The variables \( x_i \) could represent physical quantities like time, temperature, position etc. We assume that \( y(x) \) is a smooth function. </p>
<p>Before we proceed let us study a case where we aim at fitting a set of data \( \boldsymbol{y}=[y_0,y_1,\dots,y_{n-1}] \). We could think of these data as a result of an experiment or a complicated numerical experiment. These data are functions of a series of variables \( \boldsymbol{x}=[x_0,x_1,\dots,x_{n-1}] \), that is \( y_i = y(x_i) \) with \( i=0,1,2,\dots,n-1 \). The variables \( x_i \) could represent physical quantities like time, temperature, position etc. We assume that \( y(x) \) is a smooth function. </p>
<p>Since obtaining these data points may not be trivial, we want to use these data to fit a function which can allow us to make predictions for values of \( y \) which are not in the present set. The perhaps simplest approach is to assume we can parametrize our function in terms of a polynomial of degree \( n-1 \) with \( n \) points, that is</p>
$$
doc/pub/week34/html/week34.html
+11 -8
View File
@@ -259,7 +259,10 @@ div.toc p,a {
None,
'regression-analysis-overarching-aims-ii'),
('Examples', 2, None, 'examples'),
('General linear models', 2, None, 'general-linear-models'),
('General linear models and linear algebra',
2,
None,
'general-linear-models-and-linear-algebra'),
('Rewriting the fitting procedure as a linear algebra problem',
2,
None,
@@ -2647,16 +2650,16 @@ Similarly, <a href="https://arxiv.org/abs/1803.08823" target="_blank">Mehta et a
<p>
<p>Regression modeling deals with the description of the sampling distribution of a given random variable \( y \) and how it varies as function of another variable or a set of such variables \( \boldsymbol{x} =[x_0, x_1,\dots, x_{n-1}]^T \).
The first variable is called the <b>dependent</b>, the <b>outcome</b> or the <b>response</b> variable while the set of variables \( \boldsymbol{x} \) is called the independent variable, or the predictor variable or the explanatory variable.
The first variable is called the <b>dependent</b>, the <b>outcome</b> or the <b>response</b> variable while the set of variables \( \boldsymbol{x} \) is called the independent variable, or the predictor variable or the explanatory variable, or simply just the <b>inputs</b>.
</p>
<p>A regression model aims at finding a likelihood function \( p(\boldsymbol{y}\vert \boldsymbol{x}) \), that is the conditional distribution for \( \boldsymbol{y} \) with a given \( \boldsymbol{x} \). The estimation of \( p(\boldsymbol{y}\vert \boldsymbol{x}) \) is made using a data set with </p>
<p>A regression model aims at finding a likelihood function \( p(\boldsymbol{y}\vert \boldsymbol{x}) \) or in the more traditional sense a function \( \boldsymbol{y}(\boldsymbol{x}) \), that is the conditional distribution for \( \boldsymbol{y} \) with a given \( \boldsymbol{x} \). The estimation of \( p(\boldsymbol{y}\vert \boldsymbol{x}) \) is made using a data set with </p>
<ul>
<li> \( n \) cases \( i = 0, 1, 2, \dots, n-1 \)</li>
<li> Response (target, dependent or outcome) variable \( y_i \) with \( i = 0, 1, 2, \dots, n-1 \)</li>
<li> \( p \) so-called explanatory (independent or predictor) variables \( \boldsymbol{x}_i=[x_{i0}, x_{i1}, \dots, x_{ip-1}] \) with \( i = 0, 1, 2, \dots, n-1 \) and explanatory variables running from \( 0 \) to \( p-1 \). See below for more explicit examples.</li>
<li> \( p \) so-called explanatory (independent or predictor or feature) variables \( \boldsymbol{x}_i=[x_{i0}, x_{i1}, \dots, x_{ip-1}] \) with \( i = 0, 1, 2, \dots, n-1 \) and explanatory variables running from \( 0 \) to \( p-1 \). See below for more explicit examples.</li>
</ul>
<p> The goal of the regression analysis is to extract/exploit relationship between \( \boldsymbol{y} \) and \( \boldsymbol{x} \) in or to infer causal dependencies, approximations to the likelihood functions, functional relationships and to make predictions, making fits and many other things.</p>
<p> The goal of the regression analysis is to extract/exploit relationship between \( \boldsymbol{y} \) and \( \boldsymbol{x} \) in order to infer specific dependencies, approximations to the likelihood functions, functional relationships and to make predictions, making fits and many other things.</p>
</div>
@@ -2666,7 +2669,7 @@ The first variable is called the <b>dependent</b>, the <b>outcome</b> or the <b>
<b></b>
<p>
<p>Consider an experiment in which \( p \) characteristics of \( n \) samples are
<p>Consider an experiment in which \( p \) characteristics/features of \( n \) samples are
measured. The data from this experiment, for various explanatory variables \( p \) are normally represented by a matrix
\( \mathbf{X} \).
</p>
@@ -2716,11 +2719,11 @@ so-called <a href="https://www.sciencedirect.com/science/article/pii/S0957417407
<!-- !split --><br><br><br><br><br><br><br><br><br><br>
<h2 id="general-linear-models">General linear models </h2>
<h2 id="general-linear-models-and-linear-algebra">General linear models and linear algebra </h2>
<div class="alert alert-block alert-block alert-text-normal">
<b></b>
<p>
<p>Before we proceed let us study a case from linear algebra where we aim at fitting a set of data \( \boldsymbol{y}=[y_0,y_1,\dots,y_{n-1}] \). We could think of these data as a result of an experiment or a complicated numerical experiment. These data are functions of a series of variables \( \boldsymbol{x}=[x_0,x_1,\dots,x_{n-1}] \), that is \( y_i = y(x_i) \) with \( i=0,1,2,\dots,n-1 \). The variables \( x_i \) could represent physical quantities like time, temperature, position etc. We assume that \( y(x) \) is a smooth function. </p>
<p>Before we proceed let us study a case where we aim at fitting a set of data \( \boldsymbol{y}=[y_0,y_1,\dots,y_{n-1}] \). We could think of these data as a result of an experiment or a complicated numerical experiment. These data are functions of a series of variables \( \boldsymbol{x}=[x_0,x_1,\dots,x_{n-1}] \), that is \( y_i = y(x_i) \) with \( i=0,1,2,\dots,n-1 \). The variables \( x_i \) could represent physical quantities like time, temperature, position etc. We assume that \( y(x) \) is a smooth function. </p>
<p>Since obtaining these data points may not be trivial, we want to use these data to fit a function which can allow us to make predictions for values of \( y \) which are not in the present set. The perhaps simplest approach is to assume we can parametrize our function in terms of a polynomial of degree \( n-1 \) with \( n \) points, that is</p>
$$
doc/pub/week34/ipynb/ipynb-week34-src.tar.gz
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doc/src/week34/week34.do.txt
+7 -7
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@@ -1553,13 +1553,13 @@ Similarly, "Mehta et al's article":"https://arxiv.org/abs/1803.08823" is also re
!bblock
Regression modeling deals with the description of the sampling distribution of a given random variable $y$ and how it varies as function of another variable or a set of such variables $\bm{x} =[x_0, x_1,\dots, x_{n-1}]^T$.
The first variable is called the _dependent_, the _outcome_ or the _response_ variable while the set of variables $\bm{x}$ is called the independent variable, or the predictor variable or the explanatory variable.
The first variable is called the _dependent_, the _outcome_ or the _response_ variable while the set of variables $\bm{x}$ is called the independent variable, or the predictor variable or the explanatory variable, or simply just the _inputs_.
A regression model aims at finding a likelihood function $p(\bm{y}\vert \bm{x})$, that is the conditional distribution for $\bm{y}$ with a given $\bm{x}$. The estimation of $p(\bm{y}\vert \bm{x})$ is made using a data set with
A regression model aims at finding a likelihood function $p(\bm{y}\vert \bm{x})$ or in the more traditional sense a function $\bm{y}(\bm{x})$, that is the conditional distribution for $\bm{y}$ with a given $\bm{x}$. The estimation of $p(\bm{y}\vert \bm{x})$ is made using a data set with
* $n$ cases $i = 0, 1, 2, \dots, n-1$
* Response (target, dependent or outcome) variable $y_i$ with $i = 0, 1, 2, \dots, n-1$
* $p$ so-called explanatory (independent or predictor) variables $\bm{x}_i=[x_{i0}, x_{i1}, \dots, x_{ip-1}]$ with $i = 0, 1, 2, \dots, n-1$ and explanatory variables running from $0$ to $p-1$. See below for more explicit examples.
The goal of the regression analysis is to extract/exploit relationship between $\bm{y}$ and $\bm{x}$ in or to infer causal dependencies, approximations to the likelihood functions, functional relationships and to make predictions, making fits and many other things.
* $p$ so-called explanatory (independent or predictor or feature) variables $\bm{x}_i=[x_{i0}, x_{i1}, \dots, x_{ip-1}]$ with $i = 0, 1, 2, \dots, n-1$ and explanatory variables running from $0$ to $p-1$. See below for more explicit examples.
The goal of the regression analysis is to extract/exploit relationship between $\bm{y}$ and $\bm{x}$ in order to infer specific dependencies, approximations to the likelihood functions, functional relationships and to make predictions, making fits and many other things.
!eblock
!split
@@ -1567,7 +1567,7 @@ A regression model aims at finding a likelihood function $p(\bm{y}\vert \bm{x})$
!bblock
Consider an experiment in which $p$ characteristics of $n$ samples are
Consider an experiment in which $p$ characteristics/features of $n$ samples are
measured. The data from this experiment, for various explanatory variables $p$ are normally represented by a matrix
$\mathbf{X}$.
@@ -1616,9 +1616,9 @@ so-called "credit card default data from Taiwan":"https://www.sciencedirect.com/
!split
===== General linear models =====
===== General linear models and linear algebra =====
!bblock
Before we proceed let us study a case from linear algebra where we aim at fitting a set of data $\bm{y}=[y_0,y_1,\dots,y_{n-1}]$. We could think of these data as a result of an experiment or a complicated numerical experiment. These data are functions of a series of variables $\bm{x}=[x_0,x_1,\dots,x_{n-1}]$, that is $y_i = y(x_i)$ with $i=0,1,2,\dots,n-1$. The variables $x_i$ could represent physical quantities like time, temperature, position etc. We assume that $y(x)$ is a smooth function.
Before we proceed let us study a case where we aim at fitting a set of data $\bm{y}=[y_0,y_1,\dots,y_{n-1}]$. We could think of these data as a result of an experiment or a complicated numerical experiment. These data are functions of a series of variables $\bm{x}=[x_0,x_1,\dots,x_{n-1}]$, that is $y_i = y(x_i)$ with $i=0,1,2,\dots,n-1$. The variables $x_i$ could represent physical quantities like time, temperature, position etc. We assume that $y(x)$ is a smooth function.
Since obtaining these data points may not be trivial, we want to use these data to fit a function which can allow us to make predictions for values of $y$ which are not in the present set. The perhaps simplest approach is to assume we can parametrize our function in terms of a polynomial of degree $n-1$ with $n$ points, that is
!bt