Liang Hua, Su Haiyan, Thurston Sally W, Meeker John D, Hauser Russ
Department of Biostatistics and Computational Biology, University of Rochester Medical Center, Rochester, New York 14642, U.S.A
Stat Interface. 2009 Feb 24;36(3):433-443. doi: 10.1111/j.1467-9469.2008.00632.x.
This paper considers statistical inference for additive partial linear models when the linear covariate is measured with error. To improve the accuracy of the normal approximation based confidence intervals, we develop an empirical likelihood based statistic, which is shown to be asymptotically chi-square distributed. We emphasize the finite-sample performance of the proposed method by conducting simulation experiments. The method is used to analyze the relationship between semen quality and phthalate exposure from an environment study.
本文考虑了线性协变量存在测量误差时加性部分线性模型的统计推断问题。为提高基于正态近似的置信区间的准确性，我们开发了一种基于经验似然的统计量，该统计量被证明渐近服从卡方分布。我们通过进行模拟实验来强调所提方法的有限样本性能。该方法被用于分析一项环境研究中精液质量与邻苯二甲酸酯暴露之间的关系。
