regression with an interaction term (centering predictors)

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regression with an interaction term (centering predictors)

Handel, Richard W.

Hi All,

 

I have a question about centering predictors in a regression that includes a dichotomous variable.  How should one handle the dichotomous variable? Say you have a continuous variable, a gender variable (0 or 1), and an interaction between the continuous variable and the gender variable.  If I just center the continuous variable prior to calculating the interaction term, I noticed

that some of the collinearity indices actually look worse than not centering at all. Are you supposed to center the dichotomous variable as well (this seems counterintuitive to me) or are you not supposed to center any variables if your analysis includes a dichotomous variable?

 

Thanks!!!

 

Rick

 

 

Richard W. Handel, Ph.D.

Associate Professor

Department of Psychiatry and Behavioral Sciences

Eastern Virginia Medical School

825 Fairfax Avenue, Hofheimer Hall

Norfolk, VA 23507

Phone (757)-446-7992

 

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Re: regression with an interaction term (centering predictors)

Swank, Paul R

I do not believe in centering categorical variables because it doesn’t make sense to consider the slope and intercept when the gender, say, is halfway between male and female. Center the continuous variable and leave the dichotomous coded 0,1. I wouldn’t worry about collinearity unless it is really bad, which would indicate substantial difference in the predictor by gender.

 

Dr. Paul R. Swank,

Professor and Director of Research

Children's Learning Institute

University of Texas Health Science Center-Houston

 

From: SPSSX(r) Discussion [mailto:[hidden email]] On Behalf Of Handel, Richard W.
Sent: Wednesday, May 06, 2009 9:02 AM
To: [hidden email]
Subject: regression with an interaction term (centering predictors)

 

Hi All,

 

I have a question about centering predictors in a regression that includes a dichotomous variable.  How should one handle the dichotomous variable? Say you have a continuous variable, a gender variable (0 or 1), and an interaction between the continuous variable and the gender variable.  If I just center the continuous variable prior to calculating the interaction term, I noticed

that some of the collinearity indices actually look worse than not centering at all. Are you supposed to center the dichotomous variable as well (this seems counterintuitive to me) or are you not supposed to center any variables if your analysis includes a dichotomous variable?

 

Thanks!!!

 

Rick

 

 

Richard W. Handel, Ph.D.

Associate Professor

Department of Psychiatry and Behavioral Sciences

Eastern Virginia Medical School

825 Fairfax Avenue, Hofheimer Hall

Norfolk, VA 23507

Phone (757)-446-7992