An extension of the Wilcoxon Rank-Sum test for complex sample survey data.

An extension of the Wilcoxon Rank-Sum test for complex sample survey data.
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DOI:
10.1111/j.1467-9876.2011.01028.x
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发表时间:
2012-08
期刊:
Journal of the Royal Statistical Society. Series C, Applied statistics
影响因子:
--
通讯作者:
Gellad W
Gellad W
中科院分区:
其他
文献类型:
--
作者:
Natarajan S;Lipsitz SR;Fitzmaurice GM;Sinha D;Ibrahim JG;Haas J;Gellad W

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在复杂调查抽样中,对有限总体的一部分进行抽样。通常,调查的进行使得人口中的每个主体都有不同的被选入样本的概率。此外,许多复杂的调查涉及分层和聚类。为了使样本对有限总体具有普遍性,通常将设计的这些特征纳入分析中。虽然Wilcoxon秩和检验通常用于比较双变量分析中的有序变量,但对于复杂的调查数据,没有提出Wilcoxon秩和检验的简单扩展。采用独立受试者的多项抽样,Wilcoxon秩和检验统计量等于顺序结局的比例优势累积logistic回归模型中组效应的评分检验统计量。使用这个回归框架,对于复杂的调查数据,我们制定了一个类似的比例优势累积逻辑回归模型的顺序变量,并使用估计方程得分统计没有组效应作为扩展的Wilcoxon检验。所提出的方法应用于一项复杂的调查,旨在对医疗保健使用、支出、支付来源和保险范围进行国家估计。
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.
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