starting to wrap up regression analysis slides
This commit is contained in:
@@ -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
|
||||
|
||||
@@ -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
|
||||
|
||||
Reference in New Issue
Block a user