[R] logistic regression: differential importance of regressors
Frank E Harrell Jr
f.harrell at vanderbilt.edu
Thu May 19 23:22:30 CEST 2005
Greg Trafton wrote:
> Hi, All. I have a logistic regression model that I have run. The
> question came up: which of these regressors is more important than
> another?
>
> (I'm using Design)
>
> Logistic Regression Model
>
> lrm(formula = iconicgesture ~ ST + SSP + magnitude + Condition +
> Expertise, data = d)
>
> Coef S.E. Wald Z P
> Intercept -3.2688 0.2854 -11.45 0.0000
> ST 2.0871 0.2730 7.64 0.0000
> SSP 0.7454 0.3031 2.46 0.0139
> magnitude -0.9905 0.6284 -1.58 0.1150
> Condition 0.9506 0.2932 3.24 0.0012
> Expertise 0.8508 0.2654 3.21 0.0013
>
> The real question is that, since both ST and SSP load significantly
> into the model, how do I show that ST has a bigger/smaller/similar
> effect than SSP?
>
> thanks in advance!
> greg
>
One thing you can do is to compute what proportion of the total
likelihood ratio chi-square statistic is due to each variable by
removing one at a time and looking at difference in Model L.R. (assuming
both have same observations missing). Note that you are making heavy
linearity assumptions.
You can also use the bootstrap to get a confidence interval on the rank
of the chi-square statistic a variable has among all competing chi-squares.
Frank
--
Frank E Harrell Jr Professor and Chair School of Medicine
Department of Biostatistics Vanderbilt University
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