Scaled link functions and generalized likelihood inferences for heterogeneous binary response data

Douglas G. Simpson, Raymoond J. Carroll, Minge Xie

Research output: Book/Report/Conference proceedingTechnical report

Abstract

This paper describes binary regression models in which the link function has scale param­eters that may be estimated along with the regression parameters. One motivation is to provide a plausible model for group binary responses. In this case a natural class of scale functions is obtained by treating the group responses as thresholded averages of possibly correlated latent variables. The latent variables represent individual responses within the group. Scaled link functions also arise naturally if the latent response variables are het­eroscedastic. We develop generalized likelihood ratio inferences in case the observed binary responses are themselves correh1ted. Group response data from environmental toxicology illustrate the scaled link function analysis.
Original languageEnglish (US)
PublisherNational Institute of Statistical Sciences
Number of pages18
StatePublished - Sep 1994
Externally publishedYes

Publication series

NameNISS Technical Report
No.24

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