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Numerical comparison of improved methods of testing in contingency tables with small frequencies

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References

  1. C. W. Clenshaw,Mathematical Tables 5, Chebyshev Series for Mathematical Function, Her Majesty’s stationary office, National Physical Laboratory, 1962.

  2. John J. Gart, “Alternative analyses of contingency tables,”J. R. Statist. Soc. B, 28 (1966), 164–179.

    MATH  MathSciNet  Google Scholar 

  3. Shanti S. Gupta and Mrudulla N. Waknis, “A system of inequalities for the incomplete gamma function and the normal integral,”Ann. Math. Statist., 36 (1965), 139–149.

    Article  MathSciNet  Google Scholar 

  4. J. B. S. Haldane, “The mean and variance ofx 2, when used as a test of homogeneity, when expectations are small,”Biometrika, 31 (1940), 346–355.

    MATH  MathSciNet  Google Scholar 

  5. J. B. S. Haldane, “The use ofx 2 as a test of homogeneity in a (n×2) fold table when expectations are small,”Biometrika, 33 (1945), 234–238.

    MATH  MathSciNet  Google Scholar 

  6. C. A. G. Nass, “Thex 2 test for small expectations in contingency tables, with special reference to accidents and absenteeism,”Biomerika, 46 (1959), 365–385.

    MATH  Google Scholar 

  7. C. R. Rao,Advanced Statistical Methods in Biometric Research, John Wiley and Sons Inc., 1952.

  8. F. Yates, “Contingency tables involving small numbers and thex 2 test,”Suppl. J. R. Statists. Soc., 1 (1934), 217–235.

    Google Scholar 

  9. I. Yoshimura, “Scale correction of likelihood ratio test statistics related to contingency tables,”Rep. Statist. Appl. Res., 10 (1963), 1–10.

    Google Scholar 

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Authors and Affiliations

  1. University of North Carolina, North Carolina, USA

    Nariaki Sugiura & Masanori Ôtake

  2. Atomic Bomb Casualty Commission, Hiroshima University, Hiroshima, Japan

    Nariaki Sugiura & Masanori Ôtake

Authors
  1. Nariaki Sugiura
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  2. Masanori Ôtake
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Additional information

This research was supported by the Sakko-kai Foundation

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Sugiura, N., Ôtake, M. Numerical comparison of improved methods of testing in contingency tables with small frequencies. Ann Inst Stat Math 20, 505–517 (1968). https://doi.org/10.1007/BF02911663

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  • DOI: https://doi.org/10.1007/BF02911663

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