Simultaneous statistical inference:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Springer
1981
|
| Edition: | 2. ed. |
| Series: | Springer series in statistics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVI, 299 S. graph. Darst. |
| ISBN: | 0387905480 3540905480 |
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| 245 | 1 | 0 | |a Simultaneous statistical inference |c Rupert G. Miller |
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Record in the Search Index
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| adam_text | Table of Contents
Preface to the Second Edition vi
Preface to the First Edition vii
1 INTRODUCTION 1
1 Case of two means 2
2 Error rates 5
2.1 Probability of a nonzero family error rate 6
2.2 Expected family error rate 8
2.8 Allocation of error 10
3 Basic techniques 12
8.1 Repeated normal statistics 12
3.2 Maximum modulus (Tukey) 14
3.S Bonferroni normal statistics 15
34 x» projections (Scheffe) 18
3.5 Allocation 22
3.6 Multiple modulus tests (Duncan) 24
3.7 Least significant difference test (Fisher) 26
4 p mean significance levels 28
5 Families 31
2 NORMAL UNIVARIATE TECHNIQUES 37
1 Studentized range (Tukey) 37
1.1 Method 37
1.8 Applications 42
l.S Comparison 43
xii TABLE OF CONTENTS
1.4 Derivation 44
1.6 Distributions and tables 4?
2 F projections (Scheffe) 48
2.1 Method 48
2.2 Applications 54
2.3 Comparison 62
2.4 Derivation 63
2.5 Distributions and tables 67
3 Bonferroni t statistics 67
3.1 Method 67
3.2 Applications 68
3.3 Comparison 68
3.4 Derivation 69
3.5 Distributions and tables 70
4 Studentized maximum modulus 70
4.1 Method 71
4 % Applications 71
4.3 Comparison 73
4.4 Derivation 74
4.5 Distributions and tables 75
5 Many one t statistics 76
5.1 Method 76
5.2 Applications 78
5.3 Comparison 78
6.4 Derivation 78
5.5 Distributions and tables 79
6 Multiple range tests (Duncan) 81
6.1 Method 82
6.2 Applications 86
6.3 Comparison 87
6.4 Derivation 88
6.6 Distributions and tables 89
7 Least significant difference test (Fisher) 90
7.1 Method 90
7.2 Applications 92
7.3 Comparison 92
7.4 Derivation 93
7.5 Distributions and tables 94
8 Other techniques 9J,
8.1 Tukey s gap straggler variance test 94
8.2 Shortcut methods 96
8.3 Multiple F tests 97
8.4 Two sample confidence intervals of predetermined length 98
8.5 An improved Bonferroni inequality 101
9 Power 102
10 Robustness 107
TABLE OF CONTENTS xiii
3 REGRESSION TECHNIQUES 109
1 Regression surface confidence bands 110
1.1 Method 111
IS Comparison 112
1.3 Derivation 112
2 Prediction 114
2.1 Method 115
2.2 Comparison 116
2.S Derivation 116
3 Discrimination 117
3.1 Method 117
3.2 Comparison 120
3.3 Derivation 120
4 Other techniques 121
4.1 Linear confidence bands 121
4.2 Tolerance intervals 123
4 3 Unlimited discrimination intervals 125
4 NONPARAMETRIC TECHNIQUES 129
1 Many one sign statistics (Steel) ISO
1.1 Method 131
1.2 Applications 133
1.3 Comparison 133
1.4 Derivation 134
1.5 Distributions and tables 135
2 ^ sample sign statistics 138
2.1 Method 138
2.2 Applications 139
2.3 Comparison 140
2.4 Derivation 140
2.5 Distributions and tables 141
3 Many one rank statistics (Steel) 143
3.1 Method 143
3.2 Applications lJfi
3.3 Comparison 147
3.4 Derivation 147
3.5 Distributions and tables 149
4 ft sample rank statistics 153
4.1 Method 153
4 2 Applications 165
4 3 Comparison 155
4.4 Derivation 155
4 5 Distributions and tables 156
5 Signed rank statistics 157
6 Kruskal Wallis rank statistics (Nemenyi) 166
6.1 Method 165
xiv TABLE OF CONTENTS
6.2 Applications 167
6.8 Comparison 168
6.4 Derivation 169
6.5 Distributions and tables 170
7 Friedman rank statistics (Nemenyi) 178
7.1 Method 173
7.8 Applications 174
7.8 Comparison 175
7.4 Derivation 176
7.5 Distributions and tables 176
8 Other techniques 179
8.1 Permutation tests 179
8.2 Median tests (Nemenyi) 188
8.8 Kolmogorov Smirnov statistics 185
5 MULTIVARIATE TECHNIQUES 189
1 Single population; covariance scalar unknown 190
1.1 Method 190
1.8 Applications 198
1.3 Comparison 193
1.4 Derivation 198
1.5 Distributions and tables 195
2 Single population; covariance matrix unknown 195
8.1 Method 195
8.8 Applications 197
8.8 Comparison 200
84 Derivation 200
8.5 Distributions and tables 201
3 k populations; covariance matrix unknown 208
3.1 Method 208
3.2 Applications 204
3.3 Comparison 205
8.4 Derivation 205
3.5 Distributions and tables 206
A Other techniques 208
4.1 Variances known; covariances unknown 208
4.2 Variance covariance intervals 209
4.3 Twd sample confidence intervals of predetermined
length 209
6 MISCELLANEOUS TECHNIQUES 211
1 Outlier detection 211
2 Multinomial populations 215
2.1 Single population 215
2.2 Several populations 218
2.3 Cross product ratios 220
2.4 Logistic response curves 220
TABLE OF CONTENTS XV
3 Equality of variances 221
4 Periodogram analysis 223
5 Alternative approaches: selection, ranking, slippage 226
A STRONG LAW FOR THE EXPECTED ERROR RATE 231
B TABLES 233
I Percentage points of the studentized range 234
II Percentage points of the Bonferroni t statistic 238
III Percentage points of the studentized
maximum modulus $39
IV Percentage points of the many one t statistics 240
V Percentage points of the Duncan multiple range test 248
VI Percentage points of the many one sign statistics 247
VII Percentage points of the k sample sign statistics 249
VIII Percentage points of the many one rank statistics 250
IX Percentage points of the k sample rank statistics 252
DEVELOPMENTS IN MULTIPLE COMPARISONS
1966 1976 253
1 Introduction 253
2 Papers of special interest 254
2.1 Probability inequalities 254
2.2 Methods for unbalanced ANOVA 255
2.3 Conditional confidence levels 256
2.4 Empirical Bayes approach 257
2.5 Confidence bands in regression 259
3 References 261
4 Bibliography 1966 1976 261
4.1 Survey articles 261
4.2 Probability inequalities 261
4.3 Tables 262
4.4 Normal multifactor methods 263
4.5 Regression 267
4.6 Categorical data 269
4.7 Nonparametric techniques 270
4.8 Multivariate methods 270
4.9 Miscellaneous 271
4.10 Pre 1966 articles missed in [6] 273
4.11 Late additions 273
5 List of journals scanned 274
xvi TABLE OF CONTENTS
ADDENDUM NEW TABLE OF THE STUDENTIZED
MAXIMUM MODULUS 277
Table IIIA Percentage points of the studentized maximum modulus 278
BIBLIOGRAPHY 279
AUTHOR INDEX 295
SUBJECT INDEX 297
|
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| dewey-tens | 510 - Mathematics |
| discipline | Agrar-/Forst-/Ernährungs-/Haushaltswissenschaft / Gartenbau Mathematik Wirtschaftswissenschaften |
| edition | 2. ed. |
| format | Book |
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| spelling | Miller, Rupert G. Verfasser aut Simultaneous statistical inference Rupert G. Miller 2. ed. New York [u.a.] Springer 1981 XVI, 299 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer series in statistics Statistique mathématique Statistische toetsen gtt Mathematical statistics Statistische Schlussweise (DE-588)4182963-3 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf Inferenzstatistik (DE-588)4247120-5 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Statistik (DE-588)4056995-0 s DE-604 Statistische Schlussweise (DE-588)4182963-3 s Inferenzstatistik (DE-588)4247120-5 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006003758&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Miller, Rupert G. Simultaneous statistical inference Statistique mathématique Statistische toetsen gtt Mathematical statistics Statistische Schlussweise (DE-588)4182963-3 gnd Statistik (DE-588)4056995-0 gnd Inferenzstatistik (DE-588)4247120-5 gnd |
| subject_GND | (DE-588)4182963-3 (DE-588)4056995-0 (DE-588)4247120-5 (DE-588)4151278-9 |
| title | Simultaneous statistical inference |
| title_auth | Simultaneous statistical inference |
| title_exact_search | Simultaneous statistical inference |
| title_full | Simultaneous statistical inference Rupert G. Miller |
| title_fullStr | Simultaneous statistical inference Rupert G. Miller |
| title_full_unstemmed | Simultaneous statistical inference Rupert G. Miller |
| title_short | Simultaneous statistical inference |
| title_sort | simultaneous statistical inference |
| topic | Statistique mathématique Statistische toetsen gtt Mathematical statistics Statistische Schlussweise (DE-588)4182963-3 gnd Statistik (DE-588)4056995-0 gnd Inferenzstatistik (DE-588)4247120-5 gnd |
| topic_facet | Statistique mathématique Statistische toetsen Mathematical statistics Statistische Schlussweise Statistik Inferenzstatistik Einführung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006003758&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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