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Technical AIDS

Use of the Range to Estimate Variability

Pages 10-12 | Published online: 11 Apr 2018

References Periodicals

  • David, H. A., “Further Applications of the Range to the Analysis of Variance,” Biometrika, Vol. 38, 1951, pp. 393–407.
  • Duncan, A. J., “The Use of Ranges in Comparing Variabilities,” Industrial Quality Control, Vol. 11, No. 5, February 1955, pp. 18–22.
  • Duncan, A. J., “Clarification and Further Comments on the ‘Use of the Range in Comparing Variabilities,’” Industrial Quality Control, Vol. 11, No. 8, May 1955, p. 70. Errata listed in Vol. 12, No. 2, August 1955, p. 36.
  • Duncan, A. J., “Design and Operation of a Double-Limit Variables Sampling Plan,” Journal of the American Statistical Association, Vol. 53, No. 282, June 1958, pp. 543–550.
  • Patnaik, P. B., “The Use of Mean Range as an Estimator of Variance in Statistical Tests,” Biometrika, Vol. 37, 1950, pp. 78–87.
  • Pearson, E. S., “Comparison of Two Approximations to the Distribution of the Range in Small Samples from Normal Populations,” Biometrika, Vol. 39, 1952, pp. 130–136.
  • Tippett, L. H. C., “On the Extreme Individuals and the Range of Samples Taken From a Normal Population,” Biometrika, Vol. 17, 1925, pp. 364–387.

Books

  • David, H. A., “Order Statistics,” John Wiley & Sons, New York, 1970, Sec. 7.3, pp. 140–146.
  • Pearson, E. S., and Hartley, H. O., Eds., “Biometrika Tables for Statisticians,” Volume II, Cambridge University Press, Cambridge, England, 1972, Tables 3 and 4, pp. 160–174.
  • Sahran, A. E., and Greenberg, B. G., Eds., “Contributions to Order Statistics,” John Wiley & Sons, New York, 1962, Sec. 7A, pp. 94–128.

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