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Updated: Feb 5, 2026

Decomposing the Variance in Reading Comprehension to Reveal the Unique and Common Effects of Language and Decoding
Published on: October 11, 2018
Multivariate Common Language Effect Size
11 University of South Carolina, Columbia, SC, USA.
Abstract:
To find a common language effect size of multivariate outcomes, we convert the standardized multivariate effect size (Mahalanobis distance) to a probability of a randomly selected subject from one population having a larger discriminant function than a randomly selected subject from another population. This probability is simple to calculate and comprehensible to laypeople. It can serve as the multivariate common language effect size to compare not only two groups but also more than two groups.
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