ANALYSIS OF COVARIANCE BASED ON GENERAL RANK SCORES

Chapters in this book

1. Frontmatter i
2. CONTENTS vii
3. PREFACE xiii
4. Part I. Nonparametric Methods in Univariate Alalysis
5. ASYMPTOTIC EFFICIENCY OF A CLASS OF c-SAMPLE TESTS 3
6. ON THE ESTIMATION OF CONTRASTS IN LINEAR MODELS 23
7. SOME DISTRIBUTION-FREE k-SAMPLE RANK TESTS OF HOMOGENEITY AGAINST ORDERED ALTERNATIVES 28
8. MULTI-SAMPLE ANALOGUES OF SOME ONE-SAMPLE TESTS 41
9. ON ROBUST ESTIMATION IN INCOMPLETE BLOCK DESIGNS 68
10. ON SOME OPTIMUM NONPARAMETRIC PROCEDURES IN TWO-WAY LAYOUTS 73
11. ON CHERNOFF-SAVAGE TESTS FOR ORDERED ALTERNATIVES IN RANDOMIZED BLOCKS 89
12. MULTIPLE DECISION PROCEDURES BASED ON RANKS FOR CERTAIN PROBLEMS IN ANALYSIS OF VARIANCE 95
13. A CLASS OF RANK ORDER TESTS FOR A GENERAL LINEAR HYPOTHESIS 109
14. ANALYSIS OF COVARIANCE BASED ON GENERAL RANK SCORES 128
15. ON A CLASS OF RANK ORDER TESTS FOR THE IDENTITY OF TWO MULTIPLE REGRESSION SURFACES 137
16. STATISTICAL INFERENCE IN INCOMPLETE BLOCKS DESIGNS 145
17. ON SOME SELECTION PROCEDURES IN TWO-WAY LAYOUTS 170
18. A NOTE ON ASYMPTOTIC DISTRIBUTION-FREE TESTS FOR SUBHYPOTHESES IN MULTIPLE LINEAR REGRESSION 179
19. ASYMPTOTICALLY DISTRIBUTION-FREE ALIGNED RANK ORDER TESTS FOR COMPOSITE HYPOTHESES FOR GENERAL MULTIVARIATE LINEAR MODELS 183
20. RANK ORDER ESTIMATORS IN THE CASE OF GROUPED DATA (LINEAR REGRESSION) 195
21. THEORY OF NONPARAMETRIC STATISTICS FOR ROUNDED-OFF DATA WITH APPLICATIONS 216
22. CENTERING OF SIGNED RANK STATISTICS WITH A CONTINUOUS SCORE-GENERATING FUNCTION 265
23. CONVERGENCE OF GENERALIZED INVERSES WITH APPLICATIONS TO ASYMPTOTIC HYPOTHESIS TESTING 271
24. ASYMPTOTIC NORMALITY OF THE LENGTHS OF A CLASS OF NONPARAMETRIC CONFIDENCE INTERVALS FOR A REGRESSION PARAMETER 281
25. BHATTACHARYYA BOUND OF VARIANCES OF UNBIASED ESTIMATORS IN NONREGULAR CASES 293
26. ALMOST SURE LINEARITY FOR SIGNED RANK STATISTICS IN THE NON-I.I.D. CASE 303
27. ASYMPTOTIC BEHAVIOR OF MULTI-RESPONSE PERMUTATION PROCEDURES 315
28. ADAPTIVE NONPARAMETRIC PROCEDURES AND APPLICATIONS 326
29. Part II. Nonparametric Methods in Multivariate Analysis
30. ON THE THEORY OF RANK ORDER TESTS FOR LOCATION IN THE MULTIVARIATE ONE SAMPLE PROBLEM 343
31. NONPARAMETRIC CONFIDENCE REGIONS FOR SOME MULTIVARIATE LOCATION PROBLEMS 356
32. RANK ORDER TESTS FOR MULTIVARIATE PAIRED COMPARISONS 362
33. ASYMPTOTIC THEORY OF LIKELIHOOD RATIO AND RANK ORDER TESTS IN SOME MULTIVARIATE LINEAR MODELS 379
34. ON THE ROBUSTNESS OF RANK ORDER TESTS AND ESTIMATES IN THE GENERALIZED MULTIVARIATE ONE-SAMPLE LOCATION PROBLEM 393
35. JOINT ASYMPTOTIC MULTINORMALITY FOR A CLASS OF RANK ORDER STATISTICS IN MULTIVARIATE PAIRED COMPARISONS 409
36. Part III. Nonparametric Methods in Design and Analysis of Experiments
37. NONPARAMETRIC METHODS IN DESIGN AND ANALYSIS OF EXPERIMENTS 429
38. RANK-SCORE TESTS IN FACTORIAL DESIGNS WITH REPEATED MEASURES 502
39. NONPARAMETRIC METHODS IN FACTORIAL DESIGNS 534
40. A CLASS OF RANK-SCORE TESTS IN FACTORIAL DESIGNS 584
41. Part IV. Miscellaneous Topics
42. ON ESTIMATING INTER-SUBJECT VARIABILITY OF CHOICE PROBABILITIES UNDER OBSERVABILITY CONSTRAINTS 617
43. LINEAR MINIMAX ESTIMATORS FOR ESTIMATING A FUNCTION OF THE PARAMETER 627
44. THE ASYMPTOTIC BEHAVIOR OF THE MINIMAX RISK FOR MULTIPLE DECISION PROBLEMS 634
45. A SPHERICAL CORRELATION COEFFICIENT ROBUST AGAINST SCALE 646
46. ASYMPTOTIC DISTRIBUTIONS OF LIKELIHOOD RATIO CRITERIA FOR TESTING LATENT ROOTS AND LATENT VECTORS OF A COVARIANCE MATRIX UNDER AN ELLIPTICAL POPULATION 651
47. ON A CLASS OF MULTIVARIATE MULTISAMPLE RANK-ORDER TESTS 659
48. ON A CLASS OF RANK ORDER ESTIMATORS OF CONTRASTS IN MANOVA 683
49. ON A CLASS OF MULTIVARIATE MULTISAMPLE RANK ORDER TESTS II. TESTS FOR HOMOGENEITY OF DISPERSION MATRICES 689
50. ON A CLASS OF RANK ORDER TESTS FOR INDEPENDENCE IN MULTIVARIATE DISTRIBUTIONS 711
51. NONPARAMETRIC METHODS FOR STRATIFIED TWO-SAMPLE DESIGNS WITH APPLICATION TO MULTICLINIC TRIALS 739
52. Part V. Appendices A, Β and C
53. Appendix A. Volume 2. Probability Theory and Extreme Value Theory 753
54. Appendix Β. Volume 3. Time Series, Fuzzy Analysis and Miscellaneous Topics 759
55. Appendix C. The Publications of Madan Lal Puri 765