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The union-intersection principle applied to the test of dimensionality

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Publication:3345610
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DOI10.1080/03610928408828717zbMath0552.62039OpenAlexW2154169125MaRDI QIDQ3345610

Toshio Sakata, Kentaro Nomakuchi

Publication date: 1984

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610928408828717


zbMATH Keywords

likelihood ratio test statisticsAnderson-Rao-Fujikoshi's test statisticshypothesis of dimensionalityOlkin-Tomsky's generalized union-intersection principleRoy's maximum root test statisticstrace test statistics


Mathematics Subject Classification ID

Hypothesis testing in multivariate analysis (62H15)


Related Items (1)

Reduced-rank models for interaction in unequally replicated two-way classifications



Cites Work

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  • The likelihood ratio tests for the dimensionality of regression coefficients
  • THE LIKELIHOOD RATIO TEST OF NORMAL MEAN WITH HYPOTHESIS DETERMINED BY A CONVEX POLYHEDRAL CONE AND THE MONOTONICITY OF ITS POWER FUNCTION
  • Linear Statistical Inference and its Applications


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