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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Date
28/02/2018
Authors
Ng, Victoria K.
Cribbie, Robert
Journal Title
Journal ISSN
Volume Title
Publisher
Taylor & Francis
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.
Description
Keywords
Generalized Linear Models, ANOVA, Yuen-Welch, Heteroscedasticity
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