Please use this identifier to cite or link to this item: https://doi.org/10.1111/j.1467-9868.2012.01036.x
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dc.titleMann-Whitney test with adjustments to pretreatment variables for missing values and observational study
dc.contributor.authorChen, S.X.
dc.contributor.authorQin, J.
dc.contributor.authorTang, C.Y.
dc.date.accessioned2014-10-28T05:13:02Z
dc.date.available2014-10-28T05:13:02Z
dc.date.issued2013-01
dc.identifier.citationChen, S.X., Qin, J., Tang, C.Y. (2013-01). Mann-Whitney test with adjustments to pretreatment variables for missing values and observational study. Journal of the Royal Statistical Society. Series B: Statistical Methodology 75 (1) : 81-102. ScholarBank@NUS Repository. https://doi.org/10.1111/j.1467-9868.2012.01036.x
dc.identifier.issn13697412
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/105211
dc.description.abstractThe conventional Wilcoxon or Mann-Whitney test can be invalid for comparing treatment effects in the presence of missing values or in observational studies. This is because the missingness of the outcomes or the participation in the treatments may depend on certain pretreatment variables. We propose an approach to adjust the Mann-Whitney test by correcting the potential bias via consistently estimating the conditional distributions of the outcomes given the pretreatment variables. We also propose semiparametric extensions of the adjusted Mann-Whitney test which lead to dimension reduction for high dimensional covariates. A novel bootstrap procedure is devised to approximate the null distribution of the test statistics for practical implementations. Results from simulation studies and an economics observational study data analysis are presented to demonstrate the performance of the approach proposed. © 2012 Royal Statistical Society.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1111/j.1467-9868.2012.01036.x
dc.sourceScopus
dc.subjectDimension reduction
dc.subjectKernel smoothing
dc.subjectMann-Whitney statistic
dc.subjectMissing outcomes
dc.subjectObservational studies
dc.subjectSelection bias
dc.typeArticle
dc.contributor.departmentSTATISTICS & APPLIED PROBABILITY
dc.description.doi10.1111/j.1467-9868.2012.01036.x
dc.description.sourcetitleJournal of the Royal Statistical Society. Series B: Statistical Methodology
dc.description.volume75
dc.description.issue1
dc.description.page81-102
dc.identifier.isiut000314659000005
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