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The gamma generalized linear model, log transformation, and the robust Yuen-Welch test for analyzing group means with skewed and heteroscedastic data

The gamma generalized linear model, log transformation, and the robust Yuen-Welch test for analyzing group means with skewed and heteroscedastic data

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Title: The gamma generalized linear model, log transformation, and the robust Yuen-Welch test for analyzing group means with skewed and heteroscedastic data
Author: Ng, Victoria K.
Cribbie, Robert A.
Abstract: Alternatives for positively skewed and heteroscedastic data include the Yuen-Welch (YW) test, data transformations, and the generalized linear model (GzLM). Because the GzLM is rarely considered in psychology compared to the other two, we compared these strategies conceptually and empirically. The YW test generally has satisfactory power, but
its trimmed mean can deviate substantially from the arithmetic mean, which is often the desired parameter. The gamma GzLM can be used asa substitute for the log transformation and addresses the limitations in inference for the YW and data transformations.
Sponsor: Social Sciences and Humanites Research Council of Canada
Subject: Generalized Linear Models, ANOVA, Yuen-Welch, Heteroscedasticity
Type: Article
Rights: https://www.tandfonline.com/doi/pdf/10.1080/03610918.2018.1440301
URI: 10.1080/03610918.2018.1440301
http://hdl.handle.net/10315/34452
Published: Taylor & Francis
Citation: Victoria K. Y. Ng & Robert A. Cribbie (2018): The gamma generalized linear model, log transformation, and the robust Yuen-Welch test for analyzing group means with skewed and heteroscedastic data, Communications in Statistics - Simulation and Computation, DOI: 10.1080/03610918.2018.1440301
Date: 2018-02-28

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