Shan Guogen, Ma Changxing
Department of Environmental and Occupational Health, Epidemiology and Biostatistics Program, University of Nevada Las Vegas, Las Vegas, NV 89154, USA
Department of Biostatistics, School of Public Health and Health Professions, University at Buffalo, Buffalo, NY 14214, USA.
Stat Methods Med Res. 2016 Feb;25(1):241-54. doi: 10.1177/0962280212450957. Epub 2012 Jun 13.
We consider two exact unconditional procedures to test the difference between two multinomials with ordered categorical data. Exact unconditional procedures are compared to other approaches based on the Wilcoxon mid-rank test and the proportional odds model. We use a real example from an arthritis pain study to illustrate the various test procedures and provide an extensive numerical study to compare procedures with regards to type I error rates and power under the unconditional framework. The exact unconditional procedure based on estimation followed by maximization is generally more powerful than other procedures, and is therefore recommended for use in practice.
我们考虑两种精确的无条件程序，用于检验具有有序分类数据的两个多项分布之间的差异。将精确无条件程序与基于Wilcoxon中秩检验和比例优势模型的其他方法进行比较。我们使用一项关节炎疼痛研究中的实际例子来说明各种检验程序，并进行广泛的数值研究，以比较在无条件框架下各程序在I型错误率和检验功效方面的情况。基于估计后最大化的精确无条件程序通常比其他程序更具功效，因此建议在实际中使用。
