Hostname: page-component-784d4fb959-g549k Total loading time: 0 Render date: 2025-07-16T17:54:39.121Z Has data issue: false hasContentIssue false
  • English
  • Français

New Approximations for the Percentage Points of the Chi-Square Distribution

Published online by Cambridge University Press:  27 July 2009

Jinn-Tyan Lin
Jinn-Tyan Lin
Affiliation:
Department of Statistics, Feng Chia University, Taichung, Taiwan, R.O.C
Get access Rights & Permissions [Opens in a new window]

Abstract

Techniques of exploratory data analysis are used in the construction of simple approximations for the percentage points of the chi-square distribution. The approximations are direct functions of the degrees of freedom and the tail probability. They are more accurate than Hoaglin's approximations.

Information

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 8 , Issue 1 , January 1994 , pp. 135 - 146
Copyright
Copyright © Cambridge University Press 1994

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.)

Article purchase

Temporarily unavailable

References

1.Aroian, L.A. (1943). A new approximation to the levels of significance of the chi-square distribution. Annals of Mathematical Statistics 14: 93–95.CrossRefGoogle Scholar
2.Hoaglin, D.C. (1977). Direct approximation for chi-squared percentage points. Journal of the American Statistical Association 72: 508–515.CrossRefGoogle Scholar
3.Merrington, M. (1941). Numerical approximations to the percentage points of the x2 distribution. Biometrika 32: 200–202.Google Scholar
4.Severo, N.C. & Zelen, M. (1960). Normal approximation to the chi-square and non-central F probability functions. Biometrika 47: 411–416.CrossRefGoogle Scholar
5.Tukey, J.W. (1977). Exploratory data analysis. Reading, MA: Addison-Wesley.Google Scholar
6.Zar, J.H. (1978). Approximations for the percentage points of the chi-squared distribution. Applied Statistics 21: 280–290.CrossRefGoogle Scholar