Statistical Inference on a Linear Varying Coefficient on Longitudinal Data of Discrete Distribution

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  • 離散分布の経時測定データにおける線形な変化係数の推測について
  • リサン ブンプ ノ ケイジ ソクテイ データ ニ オケル センケイ ナ ヘンカ ケイスウ ノ スイソク ニ ツイテ

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Abstract

Varying coefficients can be used for visualizations or interpretations of the covariate effects which might be varying on time axis. The estimator of varying coefficient is usually obtained by kernel smoothing methods. Since it is essentially the linear regression around fixed time point, constructing a confidence interval or testing null hypothesis for a function of time is difficult. In this paper, we apply an estimating method proposed by Satoh and Yanagihara (2008) on the growth curve model to the discrete distributions using generalized estimating equations. Those new estimators of varying coefficients can be easily calculated by the ordinaly statistical software package. An example of logistic regression analysis with longitudinal data was illustrated.

Journal

  • Ouyou toukeigaku

    Ouyou toukeigaku 38 (1), 19-29, 2009

    Japanese Society of Applied Statistics

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