starting to wrap up regression analysis slides

This commit is contained in:
mhjensen
2017-10-11 12:34:52 +02:00
parent 5f6143bb20
commit 9bd5a99d25
13 changed files with 401 additions and 40 deletions
+17 -2
View File
@@ -1,11 +1,26 @@
TITLE: Data Analysis and Machine Learning: Linear and more Advanced Regression Analysis
TITLE: Data Analysis and Machine Learning: Linear Regression and more Advanced Regression Analysis
AUTHOR: Morten Hjorth-Jensen {copyright, 1999-present|CC BY-NC} at Department of Physics, University of Oslo & Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University
DATE: today
!split
===== Introduction =====
===== Regression analysis, overarching aims =====
!bblock
Regression modeling deals with the description of the sampling distribution of a given random variable $y$ varies as function of another variable or a set of such variables $\hat{x} =[x_0, x_1,\dots, x_p]$.
The first variable is called the _dependent_, the _outcome_ or the _response_ variable while the set of variables $\hat{x}$ is called the independent variable, or the predictor variable or the explanatory variable.
A regression model aims at finding a likelihood function $p(y\vert \hat{x})$, that is the conditional distribution for $y$ with a given $\hat{x}$. The estimation of $p(y\vert \hat{x})$ is made using a data set with
* $n$ cases $i = 0, 1, 2, \dots, n-1$
* Response (dependent or outcome) variable $y_i$ with $i = 0, 1, 2, \dots, n-1$
* $p$ Explanatory (independent or predictor) variables $\hat{x}_i=[x_{i0}, x_{i1}, \dots, x_{ip}]$ with $i = 0, 1, 2, \dots, n-1$
The goal of the regression analysis is to extract/exploit relationship between $y_i$ and $\hat{x}_i$ in or to infer causal dependencies, approximations to the likelihood functions, functional relationships and to make predictions .
!eblock
!split
===== General linear models =====
!bblock
more text to come
!eblock
+1 -1
View File
@@ -47,7 +47,7 @@ system doconce format html $name --html_style=bootstrap --pygments_html_style=de
system doconce split_html $html.html --method=split --pagination --nav_button=bottom
# IPython notebook
system doconce format ipynb $name $opt
#system doconce format ipynb $name $opt
# LaTeX Beamer slides
beamertheme=red_plain