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The significance of the discordant variance estimates

  • Minoru Siotani
Article
  • 38 Downloads

Keywords

Expanded Form Joint Density Function Incomplete Beta Function Null Case Ance Estimate 

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References

  1. [1]
    M. S. Bartlett, “Properties of Sufficiency and Statistical Tests”Proc. Roy. Soc, A., 160 (1937), pp. 268–282.CrossRefGoogle Scholar
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    C. Eisenhart and H. Solomon, “Significance of the Largest of a Set of Sample Estimates of Variance.”Selected Techniques of Statistical Analysis, Chp. 14. (1947) pp, 383–394.Google Scholar
  3. [3]
    W. G. Cochran, “The Distribution of the Largest of a Set of Estimated Variances as a Fraction of Their Total”,Ann. Eugen., Vol 11, (1941), pp. 47–52.MathSciNetCrossRefGoogle Scholar
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    D. R. Truax, “An Optimum Slippage Test for Variances ofk Normal Populations”Ann. Math. Stat., Vol. 24, (1953), pp. 669–674.MathSciNetCrossRefGoogle Scholar
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    K. Pearson (Editor),Tables of the Incomplete Beta -Function, the “Biometrika” Office, London, (1948).Google Scholar
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    E. Paulson. “An Approximate Normalization of the Analysis of Variance Distribution.”Ann. Math. Stat., Vol. 13, (1942) pp. 233–235.MathSciNetCrossRefGoogle Scholar

Copyright information

© The Institute of Statistical Mathematics, Tokyo 1955

Authors and Affiliations

  • Minoru Siotani
    • 1
  1. 1.The Institute of Statistical MathematicsJapan

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