JSM 2004 - Toronto

Abstract #300720

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Activity Number: 226
Type: Contributed
Date/Time: Tuesday, August 10, 2004 : 10:30 AM to 12:20 PM
Sponsor: Biometrics Section
Abstract - #300720
Title: Bias-corrected Maximum Likelihood and Double Extended quasi-likelihood Estimators of the Intraclass Correlation Parameter for Binary Data
Author(s): Krishna K. Saha*+
Companies: University of Windsor
Address: 401 Sunset Avenue, Windsor, ON, N9B 3P4, Canada
Keywords: bias-corrected maximum likelihood ; double extended quasi-likelihood ; intraclass correlation parameter ; over/underdispersion ; toxicological data
Abstract:

We derive expressions for Bias-corrected maximum likelihood (BCML) estimator of the intraclass correlation parameter for data in the form of proportions. A comparison, by simulation, of the BCML estimator, in terms of bias and efficiency, is conducted with two recently proposed estimators, namely, the double extended quasi-likelihood (DEQL) estimator proposed by Lee (2003) and the estimator Q2 proposed by Paul, Saha, and Balasooriya (2003), which is based on optimal quadratic estimating equations of Crowder (1987). The BCML estimator has superior bias and efficiency properties in most instances. Analyses of a set of toxicological data from Paul (1982) and a set of medical data pertaining to chromosomal abnormalities among survivors of the atomic bomb in Hiroshima from Otake and Prentice (1984) show in general much improvement in standard errors of the BCML estimates over other estimates.


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