A simple regression equivalence of Pillai's trace statistic
Xia Shen, Zheng Ning, Yudi Pawitan
TL;DR
This paper presents a straightforward regression-based equivalent to Pillai's trace statistic, simplifying multivariate analysis of variance procedures.
Contribution
It introduces a simple regression coefficient that is mathematically equivalent to Pillai's trace statistic in multivariate analysis.
Findings
Provides a regression-based interpretation of Pillai's trace
Simplifies computation in multivariate analysis
Facilitates understanding of multivariate test statistics
Abstract
Derived here is a single regression coefficient equivalent to Pillai's trace statistic in multivariate analysis of variance.
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Taxonomy
TopicsAdvanced Statistical Methods and Models