Chi-square Tests for Goodness of Fit

  • Anirban DasGupta
Part of the Springer Texts in Statistics book series (STS)


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  1. Cox, D.R. (2000). Karl Pearson and the chisquared test, in Goodness of Fit Tests and Model Validity, Birkhäuser, Boston, 3–8.Google Scholar
  2. Ferguson, T.S. (1996). A Course in Large Sample Theory, Chapman and Hall, London.zbMATHGoogle Scholar
  3. Greenwood, P.E. and Nikulin, M.S. (1996). A Guide to Chi-squared Testing, John Wiley, New York.zbMATHGoogle Scholar
  4. Kallenberg, W.C.M., Oosterhoff, J. and Schriever, B.F. (1985). The number of classes in chi-squared goodness of fit tests, J. Am. Stat. Assoc., 80(392), 959–968.zbMATHCrossRefMathSciNetGoogle Scholar
  5. Mann, H.B. and Wald, A. (1942). On the choice of the number of class intervals in the application of the chisquare test, Ann. Math. Stat., 13, 306–317.CrossRefMathSciNetzbMATHGoogle Scholar
  6. Oosterhoff, J. (1985). Choice of cells in chisquare tests, Stat. Neerlandica, 39(2), 115–128.zbMATHMathSciNetCrossRefGoogle Scholar
  7. Pearson, K. (1900). On a criterion that a given system of deviations from the probable in the case of a correlated system of variables is such that it can be reasonably supposed to have arisen from random sampling, Philos. Mag., Ser. 5, 50, 157–175.CrossRefGoogle Scholar
  8. Rao, C.R. (2000). Pearson chisquare test, the dawn of statistical inference, in Goodness of Fit Tests and Model Validity, C. Huber-Carol, N. Balakrishnan, M. Nikulin and M. Mesbah. Birkhäuser, Boston, 9–24.Google Scholar
  9. Rao, K.C. and Robson, D.S. (1974). A chi-square statistic for goodness of fit tests within the Exponential family, Commun. Stat., 3, 1139–1153.MathSciNetGoogle Scholar
  10. Serfling, R. (1980). Approximation Theorems of Mathematical Statistics, John Wiley, New York.zbMATHGoogle Scholar
  11. Stuart, A. and Ord, K. (1991). Kendall’s Theory of Statistics, 4th ed., Vol. II, Clarendon Press, New York.zbMATHGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  • Anirban DasGupta
    • 1
  1. 1.Department of StatisticsPurdue UniversityWest Lafayette

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