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Hotelling's T² Test

Hotelling's T² test is a multivariate parametric hypothesis test that simultaneously compares the mean vectors of two independent groups across multiple continuous outcome variables. It was introduced by Harold Hotelling in 1931 as the direct multivariate generalization of Student's t-test, replacing the scalar mean difference with a vector difference scaled by the pooled variance-covariance matrix.

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Hotelling's Two-Sample T-Squared Test

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Hotelling, H. (1931). The Generalization of Student's Ratio. Annals of Mathematical Statistics, 2(3), 360–378. · URL

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Same method familyIndependent t-testmachine-suggested · Relational suggestion, not evidence.Same method familyMANCOVAmachine-suggested · Relational suggestion, not evidence.Same method familyMANOVAmachine-suggested · Relational suggestion, not evidence.Used in the same domainMultivariate Regressionmachine-suggested · Relational suggestion, not evidence.Same method familyOne-way ANOVAmachine-suggested · Relational suggestion, not evidence.Same method familyWelch t-testmachine-suggested · Relational suggestion, not evidence.