Natarajan Sundar, Lipsitz Stuart R, Fitzmaurice Garrett M, Sinha Debajyoti, Ibrahim Joseph G, Haas Jennifer, Gellad Walid
VA New York Harbor Healthcare System, New York, NY, U.S.A.
J R Stat Soc Ser C Appl Stat. 2012 Aug;61(4):653-664. doi: 10.1111/j.1467-9876.2011.01028.x.
In complex survey sampling, a fraction of a finite population is sampled. Often, the survey is conducted so that each subject in the population has a different probability of being selected into the sample. Further, many complex surveys involve stratification and clustering. For generalizability of the sample to the finite population, these features of the design are usually incorporated in the analysis. While the Wilcoxon rank sum test is commonly used to compare an ordinal variable in bivariate analyses, no simple extension of the Wilcoxon rank sum test has been proposed for complex survey data. With multinomial sampling of independent subjects, the Wilcoxon rank-sum test statistic equals the score test statistic for the group effect from a proportional odds cumulative logistic regression model for an ordinal outcome. Using this regression framework, for complex survey data, we formulate a similar proportional odds cumulative logistic regression model for the ordinal variable, and use an estimating equations score statistic for no group effect as an extension of the Wilcoxon test. The proposed method is applied to a complex survey designed to produce national estimates of the health care use, expenditures, sources of payment, and insurance coverage.
在复杂抽样调查中，会抽取有限总体的一部分作为样本。通常，调查的实施方式使得总体中的每个个体被选入样本的概率不同。此外，许多复杂调查涉及分层和聚类。为了使样本能够推广到有限总体，设计的这些特征通常会纳入分析中。虽然Wilcoxon秩和检验常用于双变量分析中比较有序变量，但尚未针对复杂调查数据提出Wilcoxon秩和检验的简单扩展方法。对于独立个体的多项抽样，Wilcoxon秩和检验统计量等于有序结局的比例优势累积逻辑回归模型中组效应的得分检验统计量。利用这个回归框架，对于复杂调查数据，我们为有序变量构建了一个类似的比例优势累积逻辑回归模型，并使用无组效应的估计方程得分统计量作为Wilcoxon检验的扩展。所提出的方法应用于一项旨在生成全国医疗保健使用、支出、支付来源和保险覆盖情况估计值的复杂调查。
