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A Comparison of Two Rank-Based Methods for the Analysis of Linear Models

 

作者: JosephW. McKean,   ThomasJ. Vidmar,  

 

期刊: The American Statistician  (Taylor Available online 1994)
卷期: Volume 48, issue 3  

页码: 220-229

 

ISSN:0003-1305

 

年代: 1994

 

DOI:10.1080/00031305.1994.10476061

 

出版商: Taylor & Francis Group

 

关键词: Analysis of covariance;Factorial designs;Nonparametric;Restimates;Ranks;Rank transform;Robust

 

数据来源: Taylor

 

摘要:

Two rank-based methods for analyzing linear models are compared. A robust general linear model (RGLM); similar to least squares, offers a complete analysis of a model, including estimation, testing, and diagnostic checks. It is supported by asymptotic theory and is highly efficient. The other is the rank transform (RT), which offers a testing procedure. Unlike RGLM, the RT is not supported by a general theory, and although initial simulation studies appeared promising, recent theoretical and Monte Carlo studies question the wisdom of doing RT's on designs as simple as two-way models. The two analyses are contrasted over factorial designs on which they can substantially differ. These differences are highlighted in a simulation study on a three-way factorial design. We conclude the contrast with an analysis of covariance example.

 

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