Selecting and Ordering Populations: A New Statistical Methodology

Abstract

1. 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.