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Original Articles

An efficient algorithm for computing the noncentrality parameters of chi-squared tests

Pages 861-870 | Received 01 Dec 1991, Published online: 27 Jun 2007

References

  • Abramowitz , M and Stegun , I. A . 1965 . Handbook of Mathematical functions , New York : Dover Publications, Inc .
  • Ashour , S. K and Abdel-Samad , A. I . 1990 . “On the computation of non-central chi-square distribution function” . Commun. Statist-Simula , 19 : 1279 – 1291 .
  • Cox , D. R and Reid , N . 1987 . “Approximations to noncentral distributions” . Canad. J. Statist , 15 : 105 – 114 .
  • Ding , C. G . 1992 . “Algorithm AS 275: Computing the noncentral X2 distribution function” . Appl. Statist , 41 : 478 – 482 .
  • Farebrother , R. W . 1987 . “Algorithm AS 231: The distribution of a noncentral X2 variable with nonnegative degrees of freedom” . Appl. Statist , 36 : 402 – 405 .
  • Guenther , W. C . 1977 . “Power and Sample size for approximate chi-square tests” . Amer. Statist , 31 : 83 – 85 .
  • Guirguis , G. H . 1990 . “A note on computing the noncentrality parameter of the noncentral F-distribution” . Commun. Statist-Simula , 19 : 1497 – 1511 .
  • Hardison , C. D , Quade , D and Langston , R. D . 1983 . “Nine functions for probability distributions” . In SUGI Supplemental Library User's Guide , 385 – 393 . NC: SAS Institute Inc .
  • Haynam , G. E , Govindarajulu , Z and Leone , F. C . 1973 . “Tables of the cumulative non-central chi-square distribution” . In Selected Tables in Mathematical Statistics , Edited by: Harter , H. L and Owen , D. B . 1 – 78 . Providence: American Mathematical Society .
  • Hewitt , J. K and Heath , A. C . 1988 . “A note on computing the chi-square noncentrality parameter for power analyses” . Behav. Genet , 18 : 105 – 108 .
  • Kotz , S and Johnson , N. L . 1970 . Distribution in Statistics; Continuous Univariate Distributions -1 , New York : John Wiley & Sons .
  • Johnson , N. L and Kotz , S . 1970 . Distribution in Statistics: Continuous Univariate Distributions - 2 , New York : John Wiley & Sons .
  • Macleod , A. J . 1989 . “Algorithm AS 245: A robust and reliable algorithm for the logarithm of the gamma function” . Appl. Statist , 38 : 397 – 402 .
  • Narula , S. C and Desu , M. M . 1981 . “Algorithm AS 170: Computation of probability and non-centrality parameter of a non-central chi-squared distribution” . Appl Statist , 30 : 349 – 352 .
  • Pike , M. C and Hill , I. D . 1966 . “Algorithm 291: Logarithm of the gamma function” . Commun, Ass. Comput, Mack , 9 : 684
  • Posten , H. O . 1989 . “An effective algorithm for the noncentral chi-squared distribution function” . Amer. Statist , 43 : 261 – 263 .
  • SAS Institute Inc. (1985). SAS User's Guide: Basics, Version 5 Edition, Gary, NC: Author

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