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Journal of the American Statistical Association Volume 70, 1975 - Issue 352
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Theory and Method

Optimum Sample Size for Choosing the Population Having the Smallest Variance (Large Sample Size Results)

Paul N. Somerville Department of Mathematical Sciences, Florida Technological University, Orlando, Fla., 32816, USA
Pages 852-858 | Received 01 Jun 1971, Published online: 05 Apr 2012

References

  • Bartlett , M. S. and Kendall , D. G. 1946 . “The Statistical Analysis of Variance-Heterogeneity and the Logarithmic Transformations” . Journal of the Royal Statistical Society Supplement , 8 ( No. 1 ) : 128 – 38 .
  • Bechhofer , R. E. 1954 . “A Single-Sample Multiple Decision Procedure for Ranking Means of Normal Populations with Known Variances” . The Annals of Mathematical Statistics , 25 ( No. 1 ) : 16 – 39 .
  • Bechhofer , R. E. and Sobel , Milton . 1954 . “A Single-Sample Multiple Decision Procedure for Ranking Variances of Normal Populations” . The Annals of Mathematical Statistics , 25 ( No. 2 ) : 273 – 89 .
  • Grundy , P. M. , Healy , M. J.R. and Reese , D. H. 1956 . “Economic Choice of the Amount of Experimentation” . Journal of the Royal Statistical Society, Ser. B , 18 ( No. 1 ) : 32 – 55 .
  • Gupta , S. S. 1963 . “Probability Integrals of Multivariate Normal and Multivariate t” . The Annals of Mathematical Statistics , 34 ( No. 3 ) : 792 – 828 .
  • Milton , R. C. 1963 . “Tables of the Equally Correlated Multivariate Normal Probability Integral” , Department of Statistics, University of Minnesota . Technical Report No. 27
  • Milton , R. C. 1972 . “Computer Evaluation of the Multivariate Normal Integral” . Technometrics , 14 ( No. 4 ) : 881 – 9 .
  • Schleifer , Arthur Jr. 1969 . “Two-Stage Normal Sampling in Two-Action Problems with Linear Economics” . Journal of the American Statistical Association , 64 ( No. 4 ) : 1504 – 41 .
  • Somerville , P. N. 1954 . “Some Problems of Optimum Sampling” . Biometrika , 41 Parts 3 and 4
  • Somerville , P. N. 1953 . “Some Problems of Optimum Sampling” , Ph.D. dissertation University of North Carolina .

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