A note on ANOVA assumptions and robust analysis for a cross‐over study | Zendy

Chen Xun | Zendy; Zhao PengLiang | Zendy; Zhang Ji | Zendy

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A note on ANOVA assumptions and robust analysis for a cross‐over study

Author(s) -

Chen Xun,

Zhao PengLiang,

Zhang Ji

Publication year - 2002

Publication title -

statistics in medicine

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.996

H-Index - 183

eISSN - 1097-0258

pISSN - 0277-6715

DOI - 10.1002/sim.1103

Subject(s) - analysis of variance , mixed design analysis of variance , statistics , variance (accounting) , computer science , repeated measures design , econometrics , set (abstract data type) , mathematics , accounting , business , programming language

Analysis of variance (ANOVA) methods are usually applied to analyse continuous data from cross‐over studies. The analysis, however, may not have appropriate type I error when certain assumptions are violated. In this paper, we first clarify a conventionally minimum set of assumptions that validate the F ‐tests of ANOVA models for cross‐over studies. We then provide a practical verification/remedy procedure based upon the theoretical developments. By applying the verification/remedy procedure, more robust analysis results can be expected from the ANOVA models. Copyright © 2002 John Wiley & Sons, Ltd.

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