Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-27T07:32:22.215Z Has data issue: false hasContentIssue false

Simpler Approximations for the Areas under the t Distribution

Published online by Cambridge University Press:  27 July 2009

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

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
Copyright
Copyright © Cambridge University Press 1988

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Fisher, R.A. (1925). Expansion of student's integral in powers of n -1. Metron 5: 109112.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