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Homogeneity of variances in normal linear regression with a change point
Authors:Nariaki Sugiura  Naoko Takaoka
Institution:Faculty of Science , Japan Women’s University , 2-8-1 Mejirodai Bunkyoku, Tokyo, 112-8681, Japan
Abstract:Two methods for testing the equality of variances in straight lines regression with a change point are considered. One is likelihood ratio test and the other is Bayesian confidence interval, based on the highest posterior density for the ratio of variances, using non-informative priors. Methods are applied to the renal transplant data analyzed by Smith and Cook(1980) and Stephens(1994).
Keywords:likelihood ratio test  constrained maximum  maximum likelihood estimate  Bayesian confidence interval  posterior density of the ratio of variances  noninformative prior  renal transplant data  simulation
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