About Stats Notes
§ Stats Notes contains over 25 "Web Lectures", notes, and handouts on introductory graduate-level statistics. Topics range from sampling distributions to logistic regression (scroll down to get started)
This material was designed for a long distance
course I taught a couple of years ago.
I no longer teach the course, but I teach a two-course sequence which
covers much of the same material in more depth
§ The course was designed for masters students with health backgrounds, and so the examples are often medical or biological in nature.
The statistical notation follows the author of the
text used for the class (Wayne W. Daniel, Biostatistics, 7th Ed.) and is different from what I currently
use in my courses. This is a problem
with nearly all statistics textbooks—there is no standardized notation across
different authors. In the long run, it
is probably healthy to be exposed to another notation system, even though it
may be confusing if you have to use two systems at the same time.
§ I am not always right.
There may be a few typos or other minor errors (what
do you expect for free?).
I would appreciate a brief note if you find any (firstname.lastname@example.org).
1/ Basic Concepts
2/ Differences Between Groups with Continuous Outcomes: t-tests
3/ Differences Between Groups with Continuous Outcomes: ANOVA
4/ Differences Between Groups with Categorical Outcomes: Chi-square
Chi-square: Goodness of fit and group differences when the dependent variable is dichotomous
5/ Complex Differences Between Groups: Factorial ANOVA and Multi-way Frequency Tables
6/ Association Among Variables
7/ Association and Prediction: Regression
8/ Association and Prediction: Logistic
Handouts are available for the following topics at the Data Analysis I and II sites.
(Sorry, but handouts will be unavailable for topics yet to be covered during the current session)
Threats to internal validity
Choosing the Correct Statistical Test
Post Hoc Tests
One-way ANOVA Definitional Formulas and Example
Factorial ANOVA Definitional Formulas and Example
Graphs of Possible Factorial Results in the Eyewitness Example
Within-subjects ANOVA Definitional Formulas and Example
Assumptions for Within-subjects ANOVA
Mixed Factorial ANOVA
Simple Regression Hand Computation Example
Correlations and Scatterplots (Lab 1)
Multiple Regression Example – Salary Data
Hierarchical Multiple Regression Example—Salary Data
Suppression Example—Exercise Data
Coding of Categorical Predictors and ANCOVA
Coding Example for 4 Categories
Partial and Semipartial Correlation SPSS Output
Remedies for Assumption Violations in Regression
SPSS Macro for Interactions and Simple Slope Tests
Simple Slope Tests Example Output
Mediation Analysis with Regression
More on Model Fit and Significance of Predictors with Logistic Regression
Logit, Probit, and Other Link Functions