A Catalog of Recommended Multiple Comparison Procedures
1. Standard t-test. This is the general procedure for testing the hypothesis that
=
a
=
c
j =1
j
j
0
with a test statistic of the form
a
=
tn a
=
2
c X
j
j =1
j
a c2
j
MSerror
j =1 n
j
The cri
Introduction
Basic Linear Regression in R
Multiple Regression in R
Nested Models
ANOVA as Dummy Variable Regression
Regression in ANOVA
James H. Steiger
Department of Psychology and Human Development
Vanderbilt University
P311, 2013
James H. Steiger
Regre
Introduction
Robust Parameters and Robust Statistics
Some False Assumptions about Normality
Problems with the Mean
What are the Alternatives?
Signicance Test and CI for a Trimmed Mean
Robustness: What Is It, and Why Do We Need
It?
James H. Steiger
Departm
Introduction
Some Key Concepts
Methods Based on Ordered p-Values
An Example
Multiple Hypothesis Testing
James H. Steiger
Department of Psychology and Human Development
Vanderbilt University
P311, 2013
James H. Steiger
Multiple Hypothesis Testing
Introduct
Introduction
A Non-Orthogonal 2 2 ANOVA
ANOVA Computations in R
Which Method to Use?
Non-orthogonal Designs
James H. Steiger
Department of Psychology and Human Development
Vanderbilt University
P311, 2011
James H. Steiger
Non-orthogonal Designs
Introducti
Introduction
Eect of Violations of Assumptions
Dealing with Assumption Violations
Robust t Testing and Statistical Assumptions
James H. Steiger
Department of Psychology and Human Development
Vanderbilt University
P311, 2011
James H. Steiger
Robust t Testi
Introduction
An Introductory Example
The Basic Idea behind ANOVA
The ANOVA Structural Model
Computations
Distribution of the F Statistic and Power Calculation
Measures of Overall Fit
Some Class Participation Questions
1-Way Completely Randomized Design
Ja
The Chi-Square
The F
Noncentral Chi-Square
Noncentral F
Introduction
Distribution
Distribution
Distribution
Distribution
Introductory Distribution Theory
James H. Steiger
Department of Psychology and Human Development
Vanderbilt University
P311, 2012
Jame
Introduction
An Introductory Example
Basic ANOVA Analysis Main Eects and Interactions
Simple Main Eects Calculation
The General Linear Model
Calculating Population Model Coecients
Source Table and Expected Mean Squares
The E(MS) Test Construction Principl
Introduction
Problems with Signicance Testing
The Value of Interval Estimates
Reasons Why Condence Intervals Were Reported Infrequently
Methods for Interval Estimation
Speeding Things Up with Software
Some Caveats
Condence Intervals on Eect Size
James H.
Introduction
The Theory of Linear Combinations
Introduction to Sampling Distributions and Point Estimation
Sampling Error
Properties of a Good Estimator
Practical vs. Theoretical Considerations
Estimation Properties of the Sample Mean
The One-Sample z -Te
Introduction
Set Theory
Probabilistic Experiments and Events
Axioms and Basic Theorems of Probability
Basic Rules for Computing Probability
Joint Events, Conditional Probability, and Independence
Sequences and the Multiplicative Rules
Probability Distribu
Introduction
Plots of Data Distributions
Measures of Location and Spread
z -Scores and Their Properties
Summary Shape Statistics
Comparing Two Data Sets
Exploring Data
James H. Steiger
Department of Psychology and Human Development
Vanderbilt University
P
Introduction
Students t Distribution
Relationship to the One-Sample t
Relationship to the t Test for Two Independent Samples
Relationship to the Correlated Sample t
Distribution of the Generalized t Statistic
The Student t Distribution
James H. Steiger
De
Introduction
The Binomial Distribution
Hypothesis Testing
One-Tailed vs. Two-Tailed Tests
Power of a Statistical Test
A General Approach to Power Calculation
Fundamentals of Hypothesis Testing
James H. Steiger
Department of Psychology and Human Developmen