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Original Articles

Approximations to the chi-square distribution

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Pages 267-277 | Received 09 Dec 1975, Published online: 20 Mar 2007

References

  • Andrews , D.F. 1973 . A general method for the approximation of tail areas . The Annals of Statistics , 1 : 367 – 372 .
  • Cornish , E.A. and Fisher , R.A. 1937 . Moments and cumulants in the specification of distributions . Review of the International Statistical Institute , 4 : 1 – 14 .
  • Freeman M.F. Tukey J.W. Transformation related to the angular and square-root Memorandum Report 24 Statistical Research Group,Princeton University 1949
  • Freeman , M.F. and Tukey , J.W. 1950 . Transformations related to the angular and square-root . Annals of Mathematical Statistics , 21 : 607 – 611 .
  • Harter , H.L. 1964 . New tables of percentage points of x2 distribution . Biometrika , 51 : 231 – 239 .
  • Lewis , T. 1953 . Tables for 99.9and0.1 percentage pionts of x2-distribution . Biometrika , 40 : 421 – 426 .
  • Narula , S.C. and Li , F.S. 1975 . Sample size calculations in exponential life testing . Technometrics , 17 : 229 – 231 .
  • Pearson , E.S. and Hartley , H.O. 1966 . “ Biometrika Tables for Statisticians ” . In , 3rd , Cambridge University Press .
  • Peizer , D.B. and Pratt , J.W. 1968 . A normal approximation for binomial,F, beta and other common related tail probabilities . J.Amer.Stat.Assoc , 63 : 1416 – 1456 .
  • Pratt , J.W. 1968 . A normal approximation for binomial,F,beta and other common related tail probabilitiesII . J.Amer.Stat.Assoc , 63 : 1457 – 1483 .
  • Rao , C.R. “ Advance Statistical Methods in Biometric Research ” . Hafner Publishing Company . Darien,Connecticut
  • Severo , N.L. and Zelen , M. Normal approximation to the chi-square and non-central F probability function . Biometrika , 47 411 – 416 .
  • Thompson , C.M. 1941 . Tables of percentage points of the chi-square distribution . Biometrika , 28 : 187 – 191 .
  • Wallace , D.L. 1959 . Bounds on normal approximations to Students's and the chi-square distributions . Annals of Mathematicals Statistics , 30 : 1121 – 1130 .
  • Wilson , E.B. and Hilferty , M.M. 1931 . The distribution of chi-square . Proceeding of the National Academy of Sciences , 17 : 684 – 688 .
  • Wishart , J. 1956 . x2Probabilities for large number of degrees of freedom . Biometrika , 43 : 92 – 95 .

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