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An estimate of standard deviation of normal population based on the difference between means of two groups divided by sample mean

  • Minoru Siotani
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Keywords

Normal Population Unbiased Estimate Relative Efficiency Negative Deviation Frequency Function 

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References

  1. [1]
    L. H. C. Tippett. “On the extreme individuals and the range of samples taken from a normal population” Biometrika, Vol. 17, P. 364.Google Scholar
  2. [2]
    E. S. Pearson and H. O. Hartley, “The probability intergral of the range in samples ofn observations from a normal population.” Biometrika. Vol. 32, Part III and IV, (1942).Google Scholar
  3. [3]
    F. E. Grabbs and C. L. Weaver, “The best unbiased estimate of population standard deviation based on group ranges.” Journal of the American Statistical Association, Vol. 42, (1947), pp. 224–241.CrossRefGoogle Scholar
  4. [4]
    F. Mosteller, “On some useful ‘inflieient’ statistics.” Ann. Math. Stat., Vol. 17 (1946), pp. 377–408.MathSciNetCrossRefGoogle Scholar
  5. [5]
    J. H. Cadwell, “The distribution of quasi-ranges in samples from a normal population.“, Ann. Math. Stat., Vol. 24 (1953), pp. 603–613.MathSciNetCrossRefGoogle Scholar
  6. [6]
    H. J. Godwin, “On the distribution of the estimate of mean deviation obtained from samples from a normal population,“ Biometrika, Vol. 33 (1945), pp. 254–265.MathSciNetCrossRefGoogle Scholar
  7. [7]
    F. E. Grubbs, “Sample criteria for testing outlying observations.” Ann. Math. Stat., Vol. 21 (1950), pp. 27–58.MathSciNetCrossRefGoogle Scholar
  8. [8]
    M. Shiotani, “On the distribution of the sum of the positive or negative deviations from the mean in the sample drawn from the normal population.” The Proceedings of the Institute of Statistical Mathematics, (in Japanese), Vol. 2, No. 1 (1954), pp. 63–74.Google Scholar

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© The Institute of Statistical Mathematics, Tokyo 1954

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  • Minoru Siotani

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