Generalization of the Mantel-Haenszel estimating function for sparse clustered binary data.
We extend the Mantel-Haenszel estimating function to estimate both the intra-cluster pairwise correlation and the main effects for sparse clustered binary data. We propose both a composite likelihood approach and an estimating function approach for the analysis of such data. The proposed estimators are consistent and asymptotically normally distributed. Simulation results demonstrate that the two approaches are comparable in terms of bias and efficiency; however, the estimating equation approach is computationally simpler. Analysis of the Georgia High Blood Pressure survey is used for illustration.
Wang
Molin
M
Department of Biostatistics, Harvard School of Public Health and Dana-Farber Cancer Institute, Boston, Massachusetts 02115, USA. mwang@jimmy.harvard.edu
Williamson
John M
JM
D016000:Cluster Analysis; D003198:Computer Simulation; D003627:Data Interpretation, Statistical; D004812:Epidemiologic Methods; D005845:Georgia / Q000453:epidemiology; D006801:Humans; D006973:Hypertension / Q000453:epidemiology