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Activity Number: 414 - Risk Modeling and Regression Techniques
Type: Contributed
Date/Time: Thursday, August 12, 2021 : 2:00 PM to 3:50 PM
Sponsor: Biometrics Section
Abstract #317945
Title: Analysis of Trinomial Responses in the Presence of Unequal Dispersions
Author(s): Shaymal Halder* and Krishna Kanta Saha
Companies: University of Connecticut and Central CT State University
Keywords: Trinomial responses; Dispersion; C-alpha test; Score test

This paper presents the test procedures for testing the homogeneity of the proportions in the analysis of trinomial responses in the context of unequal dispersions across the treatment groups. We propose a test procedure based on adjusted proportions using a sandwich estimator of the variance of the proportion estimators obtained by the generalized estimating equations approach of Saha, Krishna [Journal of Statistical Planing and Inference 141 (2011) 2933-2945]. The exiting test procedures of testing the hypothesis of unequal dispersions are also extended. We compare these test procedures using Monte Carlo simulations under difference scenarios in terms of size and power. We also derive the score test for testing the homogeneity of the dispersion parameters among several groups of trinomial responses data. An empirical application of the proposed test procedures is also presented.

Authors who are presenting talks have a * after their name.

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