Cited by 33Statistical Methods and ApplicationsAdvanced Statistical Methods and ModelsProbability and Statistical Research

ON HOTELLING'S GENERALIZATION OF T2

PILLAI, K. C. SREEDHARAN, SAMSON, PABLO·1959·Biometrika

Abstract

K. C. SREEDHARAN PILLAI, PABLO SAMSON, JR; ON HOTELLING'S GENERALIZATION OF T2, Biometrika, Volume 46, Issue 1-2, 1 June 1959, Pages 160–168, https://doi.o

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Crossref · 10.1093/biomet/46.1-2.160

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  • Both the Muller and Peterson and O'Brien and Shieh approaches approximate the exact distributions of Wilks's U, Hotelling-Lawley T1, Hotelling-Lawley T2, and Pillai's V by F distributions and are asymptotically equivalent.

    “Both approaches approximate the exact distributions of Wilks's U (Rao, 1951), the Hotelling-Lawley T 1 (Pillai & Samson, 1959), the Hotelling-Lawley T 2 (McKeon, 1974), and Pillai's V (Pillai & Mijares, 1959) by F distributions and are asymptotically equivalent.”

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Authors
PILLAI, K. C. S., & SAMSON, P.
Affiliations
University of the Philippines System (PH)
Venue
Biometrika
Published
1959
Volume
46
Issue
1-2
Pages
160-168
ISSN
  • 0006-3444 (ISSN-L)
  • 1464-3510
OpenAlex
W2004643188
Cited by
33
References
0
Citations by year
2016: 1 · 2013: 1
FWCI
0.00
Type
journal article
Language
en
Open access
closed
Locations
Biometrika (publishedVersion)
Topics
  • Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Applications
  • Physical Sciences › Mathematics › Statistics and Probability › Advanced Statistical Methods and Models
  • Physical Sciences › Mathematics › Statistics and Probability › Probability and Statistical Research
Keywords
Hotelling's T2 statistic, multivariate analysis, multivariate hypothesis testing, multivariate normal distribution

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