| TESTING FOR VARYING DISPERSION OF LONGITUDINAL BINOMIAL DATA IN NONLINEAR LOGISTIC MODELS WITH RANDOM EFFECTS |
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| 作者姓名： | 林金官 韦博成 |
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| 作者单位： | Department of Mathematics，Southeast University，Nanjing 210096，China Department of Mathematics，Jiangsu Institute of Education，Nanjing 210013，China，Department of Mathematics，Southeast University，Nanjing 210096，China |
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| 基金项目： | 国家自然科学基金，NSSFC，the grant for post-doctor fellows in SEU |
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| 摘 要： | In this paper, it is discussed that two tests for varying dispersion of binomial data in the framework of nonlinear logistic models with random effects, which are widely used in analyzing longitudinal binomial data. One is the individual test and power calculation for varying dispersion through testing the randomness of cluster effects, which is extensions of Dean(1992) and Commenges et al (1994). The second test is the composite test for varying dispersion through simultaneously testing the randomness of cluster effects and the equality of random-effect means. The score test statistics are constructed and expressed in simple, easy to use, matrix formulas. The authors illustrate their test methods using the insecticide data (Giltinan, Capizzi & Malani (1988)).
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| 关 键 词： | 非线性模型 幂运算 随机效应 逻辑斯谛回归 二项式纵向数 拉普拉斯展开式 |
TESTING FOR VARYING DISPERSION OF LONGITUDINAL BINOMIAL DATA IN NONLINEAR LOGISTIC MODELS WITH RANDOM EFFECTS |
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| Lin Jinguan Wei Bocheng.TESTING FOR VARYING DISPERSION OF LONGITUDINAL BINOMIAL DATA IN NONLINEAR LOGISTIC MODELS WITH RANDOM EFFECTS[J].Acta Mathematica Scientia,2004,24(4):559-568. |
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| Authors: | Lin Jinguan Wei Bocheng |
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| Institution: | Lin Jinguan Wei Bocheng
Department of Mathematics,Southeast University,Nanjing 210096,China Department of Mathematics,Jiangsu Institute of Education,Nanjing 210013,China |
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| Abstract: | In this paper, it is discussed that two tests for varying dispersion of binomial data in the framework of nonlinear logistic models with random effects, which are widely used in analyzing longitudinal binomial data. One is the individual test and power calculation for varying dispersion through testing the randomness of cluster effects, which is extensions of Dean(1992) and Commenges et al (1994). The second test is the composite test for varying dispersion through simultaneously testing the randomness of cluster effects and the equality of random-effect means. The score test statistics are constructed and expressed in simple, easy to use, matrix formulas. The authors illustrate their test methods using the insecticide data (Giltinan, Capizzi & Malani (1988)). |
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| Keywords: | Longitudinal binomial data logistic regression nonlinear models power cal-culation random effects score test varying dispersion |
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