The aligned rank transform procedure
JJ Higgins, RC Blair, S Tashtoush - 1990 - newprairiepress.org
JJ Higgins, RC Blair, S Tashtoush
1990•newprairiepress.orgRecent work has shown that the rank transform methodology is flawed when applied to
multifactor designs with interactions. A simple fix-up is proposed and shown to apply to
designs typical of those found in agricultural research including split-plots. Simulation results
suggest that the fix-up provides a valid procedure for analyzing multifactor designs when
error distributions are symmetric or moderately skewed. The procedure appears to have
power advantages over normal theory ANOVA when error distributions are heavy tailed.
multifactor designs with interactions. A simple fix-up is proposed and shown to apply to
designs typical of those found in agricultural research including split-plots. Simulation results
suggest that the fix-up provides a valid procedure for analyzing multifactor designs when
error distributions are symmetric or moderately skewed. The procedure appears to have
power advantages over normal theory ANOVA when error distributions are heavy tailed.
Abstract
Recent work has shown that the rank transform methodology is flawed when applied to multifactor designs with interactions. A simple fix-up is proposed and shown to apply to designs typical of those found in agricultural research including split-plots. Simulation results suggest that the fix-up provides a valid procedure for analyzing multifactor designs when error distributions are symmetric or moderately skewed. The procedure appears to have power advantages over normal theory ANOVA when error distributions are heavy tailed.
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