The effects of nonnormality on tests for dimensionality in canonical correlation and MANOVA models

Seo, Kanda, Fujikoshi1995Plug-in asymptotics

Seo, Kanda & Fujikoshi (1995) — dimensionality tests under nonnormality

Result: null distributions of the dimensionality (rank) tests in CCA and MANOVA under nonnormal populations.
Use: the singular- $I_Z$ endpoint of O7 ( $\eta_D=0$ ) is the dimensionality hypothesis; the plug-in is then $O_p(1/n)$ , not $O_p(n^{-1/2})$ .
Verification: journal record (primary record); the 1994 companion's abstract read (5 Sep 2026).

T. Seo, T. Kanda, Y. Fujikoshi, J. Multivariate Anal. 52(2):325-337, 1995. The singular-I_Z endpoint as a dimensionality test. Registered 5 Sep 2026; journal record.

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Claims this source bears on without being cited in their proofs.

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