Abstract:
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Random-effect score test has become an important tool for studying the association between a set of genetic variants and a disease outcome. While a number of random-effect score test approaches have been proposed in the literature, similar approaches for multinomial logistic regression have received less attention. In a recent effort to develop random-effect score test for multinomial logistic regression, we observed that such a test is not invariant to the choice of the reference level. In this talk, we will investigate why the multinomial logistic regression is not invariant to the reference level, and show how the choice of the reference level influences the power. Then we consider several potential procedures that are invariant to the reference level, and compare their performance through numerical studies.
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