Some Good References for Multilevel Regression Models

by Karen

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Mixed, Hierarchical, and Multilevel Models are all the same thing, but Mixed Models generally refers to ANOVA models and Hierarchical and Multilevel Models generally refer to Regression Models.

The following are 3 very good references for learning about Multilevel Regression Models.  They are in the order of increased technicality.

Arnold, Carolyn L. (1992) An Introduction to Hierarchical Linear Models. Measurement and Evaluation in Counseling and Development, 25, 58-90.

Plewis, Ian. (1998) Multilevel Models. Social Research Update, 23. 

Singer, Judith D. (1998) Using SAS PROC MIXED to Fit Multilevel Models, Hierarchial Models, and Individual Growth Models. Journal of Educational and Behavioral Statistics, 24, 323-355. 

This articles uses SAS, but the ATS group at UCLA has on their web site papers that go through the examples in HLM, MLwiN, Stata, SPSS, and SPLUS.

{ 1 comment… read it below or add one }

Lisa November 19, 2013 at 4:58 pm

Thanks for this helpful information! I am looking for resources on a particular topic and am hoping you can point me in the right direction.

I used mixed models in SPSS to analyze data where participants attended 3 visits and had repeated assessments within each visit. I found a significant 2-way interaction of visit (3 categories) by the stroop (continuous). There was no 3-way interaction with time of assessment. Now I am trying to break down the 2-way visit by stroop interaction to find out where the significant differences are.

I was able to figure out how to test the effect of visit for people who were high versus low on the stroop (using the /emmeans statement). I am having trouble with the reverse – namely the effect of the stroop within each visit. I found some resources online that suggest the /test statement for this type of issue, but all of these resources only reference categorical variables…. So, I am left wondering how to handle the fact that the stroop is a continuous variable and how to construct a /test statement accordingly.

Do you know of any good tutorials about the /test subcommand that might be useful in this context? I would love to find even one example of a /test statement that includes a continuous fixed effect. Or is there an alternative way to examine the effects that I am interested in?

Thanks in advance for pointing me in the right direction!

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