Jason T. Newsom PhD

Professor, Department of Psychology, Portland State University





Main Page


Current Courses

Categorical Data Analysis

Structural Equation Modeling

Multilevel Regression

Psychological Measurement

Adult Development and Aging


Past Courses

Data Analysis I

Data Analysis II

Stats Notes



SEM References

SEM Books




LDA Book

Department of Psychology







Psy 510/610 Multilevel Regression




Data Sets


Handouts & Overheads

Why MLR?

Regression Review

Distinguishing Between Random and Fixed: Variables, Effects, and Coefficients

Raudenbush & Bryk Example Data Set: High School & Beyond

Early Childhood Longitudinal Study (ECLS)

Intercept Only Model Example (Random Effects ANOVA): SPSS, R, HLM

Intraclass Correlation Coefficient

ANCOVA Example (One Level-1 Predictor Assuming Homogeneous Slopes)

Random Slopes Example

Plotting Within-Group Regression Lines: SPSS, R, and HLM

Overhead: Examples of Slope Intercept Correlations

Significance Testing in Multilevel Regression

Significance Testing Examples

Example R2 Computations

Multilevel Regression Equations

Some Model Fit Statistics Printed by Multilevel Procedures

Centering in Multilevel Regression

Centering Examples: SPSS and R

Overhead: Compositional Effect

Cross-level Interaction Example (Predicting Random Slopes)

Simple Slope Tests of Cross-level Interactions

Estimation Methods in Multilevel Regression for Continuous Dependent Variables


Robust Standard Errors

Clarification of Notation for Growth Curve Models

Preparing Data Sets for Growth Curve Analysis

Unconditional Growth Curve Examples

Plotting Growth Curves

Time-Invariant Growth Curve Examples

Time-Varying Covariate Growth Curve Examples

Quadratic Growth Curve Example

Notes on Error Structures in Multilevel and Growth Curve Models

Logistic Regression

Multilevel Models with Binary and other Noncontinuous Dependent Variables

Estimation Methods in Non-continuous Multilevel Regression

Generalized Multilevel Regression Example for a Binary Outcome

Missing Data in Multilevel Regression

Sample Size Issues and Power

Further Reading on Multilevel Regression



Snijders & Bosker (2012) book site with data sets and software examples (including Stata, R, & MLwiN)

Paul Bliese's Introduction to Multilevel Regression with R

Hox (first edition) computer examples at UCLA statistical computing site (includes HLM, MLWin, SAS, Stata & R examples)

UCLA site examples for other multilevel texts (see Multilevel Modeling)

UCLA SPSS casestovars and varstocases examples

Singer & Willet's Applied Longitudinal Data Analysis Book

Growth curve examples from the Singer & Willet text (includes SPSS as well as SAS, HLM, MLWin, State, SPlus, Mplus)

HLM 7 Student Version (for the full version and other information, see the HLM main menu at SSI)

HLM Software Rental (rent for 6 months or a year)

HLM Software Examples

Join the multilevel modeling list

A multilevel regression model site at University of Bristol. Information on software, papers, FAQs etc.

Data sets for Joop Hox's text, seond edition (A number of good multilevel resources)

Free multilevel regression software: MIXREG, MIXNO, MIXPREG (by Don Hedeker and Robert Gibbons)

Singer's Using SAS Proc Mixed article

Bristol Center for Multilevel Modeling (online learning modules and many useful resources)

Free Copy of Harvey Goldstein's Multilevel Book

Optimal Design Power Software (free)