Predictive marginal means for a generalised linear model, using the method of Korn and Graubard (1999) and matching the results of SUDAAN. The predictive marginal mean for one level of a factor is the probability-weighted average of the fitted values for the model on new data where all the observations are set to that level of the factor but have whatever values of adjustment variables they really have.
A generalised linear model fit by
A one-sided formula specifying the factor for which predictive means are wanted. Can use, eg,
A vector of the values of
An object of class
svystat with the predictive marginal means and their covariance matrix.
It is possible to supply an adjustment model with only an intercept, but the results are then the same as
It makes no sense to have a variable in the adjustment model that is part of the grouping factor, and will give an error message or
Graubard B, Korn E (1999) "Predictive Margins with Survey Data" Biometrics 55:652-659
Bieler, Brown, Williams, & Brogan (2010) "Estimating Model-Adjusted Risks, Risk Differences, and Risk Ratios From Complex Survey Data" Am J Epi DOI: 10.1093/aje/kwp440
Worked example using National Health Interview Survey data: https://gist.github.com/tslumley/2e74cd0ac12a671d2724
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data(nhanes) nhanes_design <- svydesign(id=~SDMVPSU, strata=~SDMVSTRA, weights=~WTMEC2YR, nest=TRUE,data=nhanes) agesexmodel<-svyglm(HI_CHOL~agecat+RIAGENDR, design=nhanes_design,family=quasibinomial) ## high cholesterol by race/ethnicity, adjusted for demographic differences means<-svypredmeans(agesexmodel, ~factor(race)) means ## relative risks compared to non-Hispanic white svycontrast(means,quote(`1`/`2`)) svycontrast(means,quote(`3`/`2`)) data(api) dstrat<-svydesign(id=~1,strata=~stype, weights=~pw, data=apistrat, fpc=~fpc) demog_model <- svyglm(api00~mobility+ell+hsg+meals, design=dstrat) svypredmeans(demog_model,~enroll, predictat=c(100,300,1000,3000))
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