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Simpler Approximations for the Areas under the t Distribution

Published online by Cambridge University Press:  27 July 2009

Arvind K. Shah  and
Robert D. Allen
Arvind K. Shah
Affiliation:
Department of Mathematics and StatisticsUniversity of South Alabama Mobile, Alabama 36688
Robert D. Allen
Affiliation:
Department of Obstetrics and GynecologyUniversity of South Alabama Mobile, Alabama 36688
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Abstract

Two simple approximation formulas for approximating the areas under the t distribution are presented here which are easily programmable on pocket calculators. Their accuracy should be sufficient for most of the practical applications.

Type
Articles
Information
Probability in the Engineering and Informational Sciences , Volume 2 , Issue 1 , January 1988 , pp. 139 - 141
Copyright
Copyright © Cambridge University Press 1988

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References

Fisher, R.A. (1925). Expansion of student's integral in powers of n -1. Metron 5: 109–112.Google Scholar
Johnson, N.L. & Kotz, S. (1970). Distributions in statistics: Continuous univariate distributions–2. New York: John Wiley.Google Scholar
Kennedy, W.J. & Gentle, J.E. (1980). Statistical computing. New York: Marcel Dekker.Google Scholar
Shah, A.K. (1985). A simpler approximation for areas under the standard normal curve. The American Statistician 39(1): 80.CrossRefGoogle Scholar