MULTIPLE
REGRESSION
Another brick in
the wall
OUTLINE
Fundamental equation
Why more than one X?
Why is the correlation among Xs problematic?
Testing R2 and the bs
Standardized vs. unstandardized solution?
Hierarchical regression
Examples of hierarchical r
LINEAR REGRESSION
The GLM
Foundation
OUTLINE
The correlation, building block of the GLM
The covariance and computing the correlation
The fundamental equation for linear regression
A geometric view of b
When to use the standardized solution
Inferential sta
ANOVA
via
regressi
on
Outline
Fundamental equation
Testing significance
One-way ANOVA with 3 levels
Post-hoc (follow-up) tests
Two-way ANOVA
Understanding interactions
Simple effects tests
Types of interactions
Planned comparisons
Fundamental equation
The
MIXED MODEL
REGRESSION
Statistical
alchemy
OUTLINE
The problem
Categorizing the continuous variable
Coding categorical variables
Interactions in MMR
ANCOVA
Assumption of homogeneity of regression
Adjusted means
Important final notes on ANCOVA
THE PROBLEM
Psychology 411
Mixed Model Regression
What is Mixed Model
Regression (MMR)?
Form of the GLM where we have a mixture
of categorical and continuous X variables
(predictors or IVs)
Categorical variables have 2 or more levels
Single Y variable (criterion or D
MULTIVARIATE
ANALYSES
And then there
were two
The tale of the MANOVASAURUS
An example
Multivariate analysis
Hypothesis-testing in MANOVA: Wilks
lambda
DFA
Notes on DFA
DFA following a 3-level MANOVA
AN EXAMPLE
VR = G + S + R
NR = G + S + R
Ways to analyze