On Oct 20, 2009, at 4:00 PM, Luciano La Sala wrote:

Dear R-people,

I am analyzing epidemiological data using GLMM using the lmer package. I usually explore the assumption of linearity of continuous variables in the logit of the outcome by creating 4 categories of the variable, performing a bivariate logistic regression, and then plotting the coefficients of each category against their mid points. That gives me a pretty good idea about the linearity assumption and possible departures from it.

I know of people who create 0,1 dummy variables in order to relax the linearity assumption. However, I've read that dummy variables are never needed (nor are desireble) in R! Instead, one should make use of factors variable. That is much easier to work with than dummy variables and the model itself will create the necessary dummy variables.

Having said that, if my data violates the linearity assumption, does the use of a factors for the variable in question helps overcome the lack of linearity?

No. If done by dividing into samall numbers of categories after looking at the data, it merely creates other (and probably more severe) problems. If you are in the unusal (although desirable) position of having a large number of events across the range of the covariates in your data, you may be able to cut your variable into quintiles or deciles and analyze the resulting factor, but the preferred approach would be to fit a regression spline of sufficient complexity.

Thanks in advance.

--

David Winsemius, MD
Heritage Laboratories
West Hartford, CT

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