CHINESE JOURNAL OF APPLIED PROBABILITY AND STATIST 2013, 29(5) 469-479 DOI:      ISSN: 1001-4268 CN: 31-1256

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Testing for Correlation Coefficients in Uniform Correlation Longitudinal Mixed Effect Linear Models Based on M-estimation

Sun Huihui

School of Mathematics and Science, Yancheng Teachers University

Abstract��

In this paper, the Fisher scoring method
is applied to get M-estimator (robust estimator) in the mixed
effects linear model for longitudinal data. The score tests for
correlation coefficients in the model with uniform correlation
covariance structure based on M-estimator are also studied. Then the
properties of test statistics are investigated through Monte Carlo
simulations. At last, the methods and properties are illustrated by
the grape sugar data example.

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