Non-parametric MANOVA approaches for non-normal multivariate outcomes with missing values. Issue 14 (18th July 2017)

• Record Type: Journal Article
• Authors: He, Fanyin; Mazumdar, Sati; Tang, Gong; Bhatia, Triptish; Anderson, Stewart J.; Dew, Mary Amanda; Krafty, Robert; Nimgaonkar, Vishwajit; Deshpande, Smita; Hall, Martica; Reynolds, Charles F.
• Is Part Of: Communications in statistics. Volume 46:Issue 14(2017)
• Page Start: 7188
• Page End: 7200
• Publication Date: 2017-07-18
• Subjects: Multivariate outcomes -- Kruskal-Wallis test -- missing data -- permutation.; 62G10; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2016.1146767
• Languages: English
• ISSNs: 0361-0926

Abstract

ABSTRACT: Between-group comparisons often entail many correlated response variables. The multivariate linear model, with its assumption of multivariate normality, is the accepted standard tool for these tests. When this assumption is violated, the non-parametric multivariate Kruskal–Wallis (MKW) test is frequently used. However, this test requires complete cases with no missing values in response variables. Deletion of cases with missing values likely leads to inefficient statistical inference. Here we extend the MKW test to retain information from partially observed cases. Results of simulated studies and analysis of real data show that the proposed method provides adequate coverage and superior power to complete case analyses.