AN APPROXIMATION TO THE DISTRIBUTION OF Q (A VARIATE RELATED TO THE NON-CENTRAL T)

Hogben, D.; Pinkham, R. S.; Wilk, M. B.

AN APPROXIMATION TO THE DISTRIBUTION OF Q (A VARIATE RELATED TO THE NON-CENTRAL T)

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Abstract:

A mathematical procedure which provides an easily available approximation to the distribution function of Q, or any monotone function of it, employing values of the beta distribution is presented and values of the mean and variance of Q for given theta and n are given. In particular, this approximation provides values for the probabili y integral of the non-central t or any monotone function of it for small non-centrality values. Author

Author(s):

Hogben, D. ; Pinkham, R. S. ; Wilk, M. B.

Author Organization(s):

RUTGERS - THE STATE UNIV NEW BRUNSWICK N J

Pagination:

0001

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:

Approved For Public Release

RECORD

Collection: TR

Subject Terms

Communities of Interest:

No COI(s) Identified

Descriptor(s):

*DISTRIBUTION THEORY, *STATISTICAL ANALYSIS, DENSITY, PROBABILITY, STATISTICAL TESTS, TABLES(DATA)

Report Date:

1961 Aug 01