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Regression Analysis with Clustered Data: Applications of Survey Methodology

 


B.I. Graubard and E. L. Korn
1994 Statistics in Medicine 13, 509-522
Contact: B. I. Graubard, National Cancer Institute
6130 Executive Boulevard, Bethesda, MD 20892

Keywords: Population average, cluster specific, logistic regression

Abstract
Clustered data are found in many different types of studies such as repeated measures, inter-rater agreement, household survey, cross-over and community randomized studies. Analyses based on population average (PA) and cluster specific (CS) models are two commonly used approaches for estimating treatment/exposure effects with clustered data. This paper gives conditions involving marginal balancing of the covariates and the treatment exposure variable under which the PA and CS analyses will agree. A weighted PA analysis is proposed which will estimate CS treatment effects when marginal balancing does not hold. Methods for variance estimation which draw upon survey methodology are proposed for the weighted PA analysis.