Jason T. Newsom PhD

Professor, Department of Psychology, Portland State University





Main Page


Current Courses

Univariate Quant

Multivariate Quant

Categorical Data Analysis

Structural Equation Modeling

Multilevel Regression

Psychological Measurement

Adult Development and Aging


Past Courses

Stats Notes



SEM References

SEM Books




LDA Book

Department of Psychology







Psy 526/626 Multilevel Regression




Data Sets


Handouts & Overheads

Why MLR?

Regression Review

Intercept-Only Model and Random Effects ANOVA

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, and HLM

Overhead: Sampling Variance and Multilevel Variance

Intraclass Correlation Coefficient

ANCOVA Example (One Level-1 Predictor Assuming Homogeneous Slopes): SPSS, R, and HLM

Creating MDM Files in the HLM Package

Hypothetical Examples of Intercept-Slope Correlations

Random Slopes Example: SPSS, R, and HLM

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

Example R2 Computation

Significance Testing in Multilevel Regression

Examples Illustrating Kenward-Roger Degrees of Freedom in SPSS and R

Random Effects Likelihood Ratio Test Examples: SPSS, R, and HLM

Excel Sheet for Mixture Distribution LR Test (Chi-bar Test)

Centering in Multilevel Regression

Centering Examples: SPSS and R

Overhead: Reintroduced Means and Compositional Effects

Cross-level Interaction Example: Predicting Random Slopes

Simple Slope Tests of Cross-level Interactions

Multilevel Regression Estimation Methods for Continuous Dependent Variables

Some Model Fit Statistics Printed by Multilevel Procedures

Diagnostics for Multilevel Regression

Robust Standard Errors

Mediation with Multilevel Regression

Growth Curve Models

Preparing Data Sets for Growth Curve Analysis

Unconditional Growth Curve Example: SPSS, R, and HLM

Comparison of Notation for Growth Curve Models

Plotting Growth Curves: SPSS, R, and HLM

Growth Curve Example with Time-Invariant Covariate: SPSS, R, and HLM

Growth Curve Example with Time-Varying Covariate: SPSS, R, and HLM

Notes on Error Structures in Multilevel and Growth Curve Models

Overhead: Error Structures

Overhead: Individually Varying Time Points

Overhead: Nonlinear and Piecewise Growth Curve Figures

Quadratic Growth Curve Example: SPSS, R, and HLM

Logistic Regression



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

Digital access for books available through the PSU library (must be logged in to PSU account): Finch et al Multilevel Modeling in R, First Ed (CRC), Luke Multilevel Modeling (Sage), Syntax files from Heck et al Multilevel and Longitudinal Modeling with IBM SPSS, Third Ed (Routledge—see “Support Material”)

Paul Bliese's Introduction to Multilevel Regression with R

Paul Bliese’s Multilevel R package

nmle and lme4 R package documentation

Miriam Brinberg’s R Bootcamp Multilevel examples

Mathew Crump’s tutorial examples on nlme in 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 Software Rental (rent for 3 months)

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, second edition (A number of good multilevel resources)

SuperMix software, good for noncontinuous variables (formerly MIXREG, MIXNO, MIXPREG)(by Don Hedeker and Robert Gibbons)

Singer's Using SAS Proc Mixed article

Free Copy of Harvey Goldstein's Multilevel Book

Optimal Design Power Software (free)

Blimp multiple imputation software (free) by Keller & Enders

Multilevel multiple imputation examples from Craig Ender’s Applied Missing Data Analysis second edition