Selecting and Ordering Populations: A New Statistical Methodology / Edition 2by Jean Dickinson Gibbons, Milton Sobel, Ingram Olkin
Pub. Date: 01/28/1999
This SIAM Classics edition is an unabridged, corrected republication of the work first published in 1977. It provides a compendium of applied aspects of ordering and selection procedures and includes tables that permit the practitioner to carry out the experiment and draw statistically justified conclusions. These tables are not readily available in other texts. Although more than 1000 papers and several books on the general theory of ranking and selection have been published since this book first appeared, the methodology is presented in a more elementary fashion, with numerous examples to help the reader apply it to a specific problem.
Table of Contents1. The Philosophy of Selecting and Ordering Populations; 2. Selecting the One Best Population for Normal Distributions with Common Known Variance; 3. Selecting the One Best Population for Other Normal Distribution Models; 4. Selecting the One Best Population Bionomial (or Bernoulli) Distributions; 5. Selecting the One Normal Population with the Smallest Variance; 6. Selecting the One Best Category for the Multinomial Distribution; 7. Nonparametric Selection Procedures; 8. Selection Procedures for a Design with Paired Comparisons; 9. Selecting the Normal Population with the Best Regression Value; 10. Selecting Normal Populations Better than a Control; 11. Selecting the t Best Out of k Populations; 12. Complete Ordering of k Populations; 13. Subset Selection (or Elimination) Procedures; 14. Selecting the Best Gamma Population; 15. Selection Procedures for Multivariate Normal Distributions; Appendix A. Tables for Normal Means Selection Problems; Appendix B. Figures for Normal Means Selection Problems; Appendix C. Table of the Cumulative Standard Normal Distribution F(z); Appendix D. Table of Critical Values for the Chi-Square Distribution; Appendix E. Tables for Binomial Selection Problems; Appendix F. Figures for Binomial Selection Problems; Appendix G. Tables for Normal Variances Selection Problems; Appendix H. Tables for Multinomial Selection Problems; Appendix I. Curtailment Tables for the Multinomial Selection Problem; Appendix J. Tables of the Incomplete Beta Function; Appendix K. Tables for Nonparametric Selection Problems; Appendix L. Tables for Paired-Comparison Selection Problems; Appendix M. Tables for Selecting from k Normal Populations Those Better Than a Control ; Appendix N. Tables for Selecting the t Best Normal Populations; Appendix O. Table of Critical Values of Fisher's F Distribution; Appendix P. Tables for Complete Ordering Problems; Appendix Q. Tables for Subset Selection Problems; Appendix R. Tables for Gamma Distribution Problems; Appendix S. Tables for Multivariate Selection Problems; Appendix T. Excerpt of Table of Random Numbers; Appendix U. Table of Squares and Square Roots; Bibliography; References for Applications; Index for Data and Examples; Name Index; Subject Index.
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