Shieh G
Department of Management Science, National Chiao Tung University, Hsinchu, Taiwan 30050, Republic of China.
Biometrics. 2000 Dec;56(4):1192-6. doi: 10.1111/j.0006-341x.2000.01192.x.
A direct extension of the approach described in Self, Mauritsen, and Ohara (1992, Biometrics 48, 31-39) for power and sample size calculations in generalized linear models is presented. The major feature of the proposed approach is that the modification accommodates both a finite and an infinite number of covariate configurations. Furthermore, for the approximation of the noncentrality of the noncentral chi-square distribution for the likelihood ratio statistic, a simplification is provided that not only reduces substantial computation but also maintains the accuracy. Simulation studies are conducted to assess the accuracy for various model configurations and covariate distributions.
本文提出了一种对Self、Mauritsen和Ohara（1992年，《生物统计学》48卷，31 - 39页）中描述的广义线性模型功效和样本量计算方法的直接扩展。所提出方法的主要特点是该修正方法适用于有限和无限数量的协变量配置。此外，对于似然比统计量的非中心卡方分布的非中心性近似，提供了一种简化方法，该方法不仅大幅减少了计算量，而且保持了准确性。进行了模拟研究以评估各种模型配置和协变量分布的准确性。
