Directional-sum test for nonparametric Behrens-Fisher problem with applications to the dietary intervention trial
- 17 June 2021
- journal article
- research article
- Published by SAGE Publications in Statistical Methods in Medical Research
- Vol. 30 (7), 1640-1653
- https://doi.org/10.1177/09622802211002864
Abstract
For a nonparametric Behrens-Fisher problem, a directional-sum test is proposed based on division-combination strategy. A one-layer wild bootstrap procedure is given to calculate its statistical significance. We conduct simulation studies with data generated from lognormal, t and Laplace distributions to show that the proposed test can control the type I error rates properly and is more powerful than the existing rank-sum and maximum-type tests under most of the considered scenarios. Applications to the dietary intervention trial further show the performance of the proposed test.Funding Information
- National Nature Science Foundation of China (11671311, 11722113, 11971324)
- Beijing Natural Science Foundation (Z180006)
- The Ministry of Education of Humanities and Social Science Project (19YJC910008)
This publication has 18 references indexed in Scilit:
- Multistage nonparametric tests for treatment comparisons in clinical trials with multiple primary endpointsStatistics and Its Interface, 2016
- Improving dietary quality in youth with type 1 diabetes: randomized clinical trial of a family-based behavioral interventionInternational Journal of Behavioral Nutrition and Physical Activity, 2015
- TGFA and IRF6 Contribute to the Risk of Nonsyndromic Cleft Lip with or without Cleft Palate in Northeast ChinaPLOS ONE, 2013
- Genomics of Cardiovascular DiseaseThe New England Journal of Medicine, 2011
- A Rank-Based Test for Comparison of Multidimensional OutcomesJournal of the American Statistical Association, 2010
- Adjusting O'Brien's Test to Control Type I Error for the Generalized Nonparametric Behrens–Fisher ProblemBiometrics, 2005
- Use of the Wilcoxon Statistic for a Generalized Behrens-Fisher ProblemThe Annals of Mathematical Statistics, 1963
- On a Test of Whether one of Two Random Variables is Stochastically Larger than the OtherThe Annals of Mathematical Statistics, 1947
- The Generalization of Student's RatioThe Annals of Mathematical Statistics, 1931