Multivariate permutation tests: with applications in biostatistics
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Chichester [u.a.]
Wiley
2001
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XXVI, 408 S. Ill., graph. Darst. |
| ISBN: | 0471496707 |
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| 650 | 7 | |a Permutaties |2 gtt | |
| 650 | 7 | |a Testen |2 gtt | |
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| 650 | 4 | |a Biometry | |
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Datensatz im Suchindex
| _version_ | 1804128913536843776 |
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| adam_text | MULTIVARIATE PERMUTATION TESTS: WITH APPLICATIONS IN BIOSTATISTICS
FORTUNATO PESARIN UNIVERSITY OFPADOVA, ITALY JOHN WILEY & SONS, LTD
CHICHESTER * NEW YORK * WEINHEIM * BRISBANE * SINGAPORE * TORONTO
CONTENTS PREFACE XV NOTATION AND ABBREVIATIONS XXIII 1 INTRODUCTION 1
1.1 ON PERMUTATION ANALYSIS 1 1.2 CONDITIONALITY AND EXCHANGEABILITY 3
1.3 THE PERMUTATION TESTING PRINCIPLE 6 1.4 PERMUTATION APPROACHES 9 1.5
RANDOMIZATION AND PERMUTATION 10 1.6 WHEN CONDITIONING IS APPROPRIATE 11
1.7 COMPUTATIONAL ASPECTS 13 1.8 BASIC NOTATION 15 2 DISCUSSION OF A
SIMPLE TESTING PROBLEM 17 2.1 A PROBLEM WITH PAIRED OBSERVATIONS 17
2.1.1 INTRODUCTION 17 2.1.2 A MOTIVATING EXAMPLE 17 2.1.3 MODELLING
RESPONSES 19 2.1.4 SYMMETRY INDUCED BY EXCHANGEABILITY 20 2.1.5 FURTHER
GENERAL ASPECTS 21 2.2 THE STUDENT T PAIRED SOLUTION 22 2.2.1 PAIRED
NORMAL DATA 22 2.2.2 AN EXTENSION 23 2.3 THE SIGNED RANK TEST SOLUTION
23 2.3.1 PAIRED CONTINUOUS DATA 23 2.3.2 GENERALIZED SCORES 24 2.4 THE
MCNEMAR SOLUTION 24 2.4.1 TEST ON SIGNS OF DIFFERENCES 24 2.4.2 AN
EXTENSION 26 2.5 THE PERMUTATION SOLUTION 26 2.5.1 GENERAL ASPECTS 26
VIII CONTENTS 2.5.2 THE PERMUTATION SAMPLE SPACE 27 2.6 THE CONDITIONAL
MONTE CARLO METHOD 28 2.6.1 A SIMULATION ALGORITHM FOR INSPECTING
PERMUTATION SAMPLE SPACES 28 2.6.2 A ROUTINE FOR RANDOM PERMUTATIONS 29
2.6.3 APPROXIMATING THE PERMUTATION DISTRIBUTION 30 2.7 PERMUTATION
CONFIDENCE INTERVAL FOR 8 31 2.7.1 INTRODUCTORY ASPECTS 31 2.7.2 AN
APPROXIMATE SOLUTION 32 2.7.3 A CONDITIONAL MONTE CARLO ALGORITHM 33 2.8
PROBLEMS AND EXERCISES 34 3 THEORY OF PERMUTATION TESTS FOR ONE-SAMPLE
PROBLEMS . . 37 3.1 INTRODUCTION 37 3.1.1 BASIC CONCEPTS 37 3.1.2 ON
SUFFICIENT STATISTICS FOR SYMMETRIC DATA 41 3.2 EQUIVALENCE OF
PERMUTATION STATISTICS 43 3.3 FORMAL DEFINITION OF PERMUTATION TESTS 44
3.3.1 RANDOMIZED PERMUTATION TESTS 44 3.3.2 NON-RANDOMIZED PERMUTATION
TESTS 46 3.4 ARGUMENTS RELATED TO PERMUTATION TESTS 48 3.4.1 GENERAL
ASPECTS 48 3.4.2 ARGUMENTS FOR SELECTING A TEST STATISTIC T 49 3.5
EXAMPLES OF ONE-SAMPLE PROBLEMS 52 3.6 OTHER PROPERTIES OF PERMUTATION
TESTS 55 3.6.1 STOCHASTIC ORDERING OF P- VALUES 55 3.6.2 CONDITIONAL AND
UNCONDITIONAL PROPERTIES 57 3.6.3 FURTHER UNCONDITIONAL PROPERTIES 59
3.6.4 SOME CONSEQUENCES OF THE THEOREMS 60 3.6.5 COMMENTS ON POWER
FUNCTIONS 63 3.6.6 AN ALGORITHM FOR EVALUATING THE CONDITIONAL POWER . .
64 3.6.7 PERMUTATION TESTING FOR COMPOSITE HYPOTHESES 66 3.7 OPTIMAL
PROPERTIES 67 3.7.1 INTRODUCTORY REMARKS 67 3.7.2 FURTHER REMARKS 68 3.8
PROBLEMS AND EXERCISES 69 4 EXAMPLES OF UNIVARIATE MULTI-SAMPLE PROBLEMS
73 4.1 INTRODUCTION 73 4.1.1 GENERAL ASPECTS 73 4.1.2 ON PERMUTATION
DISTRIBUTIONS 73 4.2 INSPECTION OF THE PERMUTATION SAMPLE SPACE 75 4.2.1
CONDITIONAL MONTE CARLO METHOD 75 4.2.2 AN EXAMPLE 76 CONTENTS IX 4.2.3
RANK SOLUTIONS 81 4.2.4 A SIMPLE ROUTINE FOR RANDOM PERMUTATIONS 81
4.2.5 PERMUTATION CONFIDENCE INTERVAL FOR 6 82 4.2.6 PROBLEMS AND
EXERCISES 83 4.3 PERMUTATION ONE-WAY ANOVA 84 4.3.1 AN EXAMPLE 84 4.3.2
MODELLING RESPONSES 85 4.3.3 PERMUTATION SOLUTIONS 86 4.3.4 PROBLEMS AND
EXERCISES 88 4.4 GOODNESS-OF-FIT FOR ORDERED CATEGORICAL VARIABLES 89
4.4.1 INTRODUCTION 89 4.4.2 GOODNESS-OF-FIT TESTS FOR ORDERED
CATEGORICAL VARIABLES 90 4.4.3 A SOLUTION BASED ON SCORE TRANSFORMATIONS
91 4.4.4 TYPICAL GOODNESS-OF-FIT SOLUTIONS 92 4.4.5 EXTENSION TO
NON-DOMINANCE ALTERNATIVES AND C GROUPS 93 4.4.6 PROBLEMS AND EXERCISES
95 4.5 A PROBLEM WITH REPEATED OBSERVATIONS 96 4.5.1 INTRODUCTION 96
4.5.2 FRIEDMAN S RANK TEST 97 4.5.3 A PERMUTATION SOLUTION 98 4.5.4 AN
EXAMPLE 99 4.5.5 PROBLEMS AND EXERCISES 99 5 THEORY OF PERMUTATION TESTS
FOR MULTI-SAMPLE PROBLEMS . 101 5.1 INTRODUCTION 101 5.1.1 RECALLING
BASIC NOTIONS 101 5.1.2 RECALLING THE NON-RANDOMIZED VERSION 102 5.2
EXAMPLES OF MULTI-SAMPLE PROBLEMS 102 5.3 UNBIASEDNESS AND POWER OF SOME
MULTI-SAMPLE TESTS ILL 5.3.1 UNBIASEDNESS AND POWER FOR TWO-SAMPLE
LOCATION PROBLEMS ILL 5.3.2 SOME COROLLARIES 116 5.3.3 UNBIASEDNESS OF
ONE-WAY ANOVA 118 5.4 SOME ASYMPTOTIC PROPERTIES 121 5.4.1 INTRODUCTION
121 5.4.2 TWO BASIC THEOREMS 121 5.5 PERMUTATION CENTRAL LIMIT THEOREMS
123 5.5.1 BASIC NOTIONS 123 5.5.2 PERMUTATION CENTRAL LIMIT THEOREMS 124
5.6 PROBLEMS AND EXERCISES 127 6 NONPARAMETRIC COMBINATION METHODOLOGY
133 6.1 INTRODUCTION 133 6.1.1 GENERAL ASPECTS 133 CONTENTS 6.1.2
BIBLIOGRAPHIC NOTES 135 6.1.3 MAIN ASSUMPTIONS AND NOTATION 136 6.1.4
SOME COMMENTS 139 6.2 THE NONPARAMETRIC COMBINATION METHODOLOGY 140
6.2.1 ASSUMPTIONS ON PARTIAL TESTS 140 6.2.2 DESIRABLE PROPERTIES OF
COMBINING FUNCTIONS 141 6.2.3 A TWO-PHASE ALGORITHM FOR NONPARAMETRIC
COMBINATION 143 6.2.4 SOME USEFUL COMBINING FUNCTIONS 147 6.2.5 FOUR
EXAMPLES OF NONPARAMETRIC COMBINATION 155 6.2.6 PROBLEMS AND EXERCISES
163 6.3 CONSISTENCY AND UNBIASEDNESS OF COMBINED TESTS 165 6.3.1
CONSISTENCY 165 6.3.2 UNBIASEDNESS 166 6.3.3 A NOT CONSISTENT COMBINING
FUNCTION 168 6.3.4 PROBLEMS AND EXERCISES 170 6.4 SOME FURTHER
ASYMPTOTIC PROPERTIES 172 6.4.1 GENERAL CONDITIONS 172 6.4.2 FURTHER
ASYMPTOTIC PROPERTIES 173 6.5 COMMENTS ON NONPARAMETRIC COMBINATION 177
6.5.1 GENERAL COMMENTS 177 6.5.2 FINAL REMARKS 179 EXAMPLES OF
NONPARAMETRIC COMBINATION 181 7.1 INTRODUCTION 181 7.2 PERMUTATION
TESTING WITH MULTIVARIATE PAIRED OBSERVATIONS . . 182 7.2.1 FORMAL
DESCRIPTION OF TESTING PROBLEM 182 7.2.2 AN EXAMPLE 186 7.2.3 A
MULTIVARIATE EXTENSION OF MCNEMAR S TEST 188 7.2.4 ASYMPTOTIC BEHAVIOUR
OF MULTIVARIATE TESTS WITH PAIRED OBSERVATIONS 191 7.2.5 PROBLEMS AND
EXERCISES 192 7.3 PERMUTATION MANOVA WITH MIXED DATA 193 7.3.1 A FORMAL
DESCRIPTION 193 7.3.2 AN EXAMPLE WITH FOUR CATEGORICAL VARIABLES 196
7.3.3 A TWO-SAMPLE MULTIVARIATE TEST 198 7.3.4 A MULTIVARIATE EXTENSION
OF FISHER S EXACT PROBABILITY TEST 201 7.3.5 A CROSS-OVER DESIGN 202
7.3.6 PROBLEMS AND EXERCISES 204 7.4 GOODNESS-OF-FIT TESTS FOR ORDERED
CATEGORICAL VARIABLES . . . . 206 7.4.1 REVISITING THE PROBLEM 206 7.4.2
SOME EXTENSIONS 208 7.4.3 TWO EXAMPLES 210 7.4.4 SOME POWER EVALUATIONS
211 CONTENTS XI 7.5 A PROBLEM OF ISOTONIC INFERENCE 213 7.5.1
INTRODUCTION 213 7.5.2 CONDITIONS FOR NONPARAMETRIC COMBINATION 214
7.5.3 AN APPLICATION FROM GENETICS 216 7.5.4 AN EXAMPLE 217 7.5.5 A
MULTIVARIATE EXTENSION 217 7.6 A PROBLEM WITH MULTIVARIATE HOMOSCEDASTIC
REPEATED RESPONSES 219 7.6.1 A FORMAL DESCRIPTION 219 7.6.2 AN ALGORITHM
FOR CONDITIONAL SIMULATION 222 7.6.3 AN EXAMPLE 222 7.6.4 PROBLEMS AND
EXERCISES 223 7.7 POWER BEHAVIOUR AND REMARKS ON RESTRICTED ALTERNATIVES
. . . 224 7.7.1 POWER BEHAVIOUR OF COMBINED TESTS 224 7.7.2 REMARKS ON
RESTRICTED ALTERNATIVES 226 7.7.3 A FEW SIMULATION RESULTS 228 8
PERMUTATION ANALYSIS IN FACTORIAL DESIGNS 229 8.1 INTRODUCTION 229 8.1.1
GENERAL ASPECTS 229 8.1.2 SOLUTIONS BASED ON RESIDUALS 230 8.2 EXACT
SEPARATE TESTS FOR REPLICATED 2 2 FACTORIAL DESIGNS . . . . 232 8.2.1
SEPARATE SETS OF HYPOTHESES 232 8.2.2 SYNCHRONIZED PERMUTATIONS 233 8.3
EXACT TESTS FOR 2 2 UNBALANCED DESIGNS 237 8.3.1 WEIGHTING INTERMEDIATE
STATISTICS FOR FACTOR A 237 8.3.2 WEIGHTING INTERMEDIATE STATISTICS FOR
FACTORS B AND AB 239 8.3.3 AN EXTENSION OF WELCH S TEST FOR
HETEROSCEDASTIC MODELS 239 8.4 EXACT TESTS IN / X J BALANCED DESIGNS 241
8.4.1 BALANCED TWO-WAY LAYOUT 241 8.4.2 SEPARATE TESTING 241 8.4.3 SOME
COMMENTS 243 8.4.4 MULTIVARIATE EXTENSION OF / X J DESIGNS 243 8.4.5
EXTENSION TO A KIND OF UNBALANCED HETEROSCEDASTIC MODEL244 8.5
SYNCHRONIZED TESTS IN REPLICATED 2 K FACTORIALS 246 8.5.1 EXTENSION TO 2
K FACTORIAL DESIGNS 246 8.5.2 REALIGNMENTS 247 8.5.3 CONSTRUCTION OF
TEST STATISTICS 250 8.6 GENERAL CHARACTERIZATION OF SYNCHRONIZED TESTS
255 8.6.1 CHARACTERIZING SYNCHRONIZED PERMUTATIONS 255 8.6.2
SYNCHRONIZED PERMUTATION TESTS FOR FRACTIONAL DESIGNS OF DIFFERENT
RESOLUTION 256 8.7 A COMPARATIVE SIMULATION STUDY 259 8.7.1 COMPARING
SOLUTIONS IN HO 259 8.7.2 POWER RESULTS 261 XII CONTENTS 8.8 AN
APPLICATION 262 8.9 PERMUTATION TESTS IN UNREPLICATED FACTORIALS 264
8.9.1 INTRODUCTION 264 8.9.2 PAIRED PERMUTATION TESTS 267 8.9.3 PAIRED
PERMUTATION TESTING ALGORITHM 268 8.9.4 A SIMULATION STUDY 269 8.10
PROBLEMS AND EXERCISES 271 8.11 APPENDICES 272 8.11.1 SUFFICIENT
STATISTICS FOR REPLICATED 2 2 FACTORIAL DESIGNS . 272 8.11.2 A BRIEF
REVIEW OF TWO-LEVEL FACTORIAL DESIGNS 274 9 PERMUTATION TESTING WITH
MISSING DATA 279 9.1 INTRODUCTION 279 9.1.1 GENERAL ASPECTS 279 9.1.2
BIBLIOGRAPHIC NOTES 280 9.2 ON MISSING DATA PROCESSES 281 9.2.1
INTRODUCTION 281 9.2.2 DATA MISSING COMPLETELY AT RANDOM 281 9.2.3 DATA
MISSING NOT AT RANDOM 282 9.3 THE PERMUTATION APPROACH 282 9.3.1
INTRODUCTION 282 9.3.2 BREAKING DOWN THE HYPOTHESES 284 9.4 THE
STRUCTURE OF TESTING PROBLEMS 285 9.4.1 HYPOTHESES FOR NON-MAR MODELS
285 9.4.2 HYPOTHESES FOR MCAR MODELS 286 9.4.3 PERMUTATION STRUCTURE
WITH MISSING VALUES 287 9.5 PERMUTATION ANALYSIS OF MISSING VALUES 288
9.5.1 PARTITIONING THE PERMUTATION SAMPLE SPACE 288 9.5.2 SOLUTION FOR
TWO-SAMPLE MCAR PROBLEMS 290 9.5.3 EXTENSIONS TO MULTIVARIATE C-SAMPLE
PROBLEMS 292 9.5.4 EXTENSION TO NON-MAR MODELS 293 9.5.5 SOME COMMENTS
293 9.6 AN EXAMPLE OF A NON-MAR MODEL 295 9.6.1 INTRODUCTION 295 9.6.2
THE EXAMPLE 296 9.6.3 THE PERMUTATION SOLUTION 297 9.7 AN EXAMPLE WITH
MULTIVARIATE PAIRED OBSERVATIONS 299 9.7.1 THE PROBLEM 299 9.7.2 AN
EXAMPLE WITH FICTITIOUS DATA 300 9.8 POWER BEHAVIOUR OF SOME TESTS WITH
MISSING VALUES 301 9.8.1 INTRODUCTION 301 9.8.2 SIMULATION RESULTS AND
COMMENTS 302 9.9 PROBLEMS AND EXERCISES 303 CONTENTS XIII 10 THE
BEHRENS*FISHER PERMUTATION PROBLEM 305 10.1 INTRODUCTION 305 10.1.1
GENERAL ASPECTS 305 10.1.2 BIBLIOGRAPHIC NOTES 306 10.1.3 FORMAL
DESCRIPTION OF THE PROBLEM 307 10.2 PARAMETRIC SOLUTIONS 308 10.2.1
BASIC STATISTICS 308 10.2.2 KNOWN COVARIANCE MATRICES 309 10.2.3 UNKNOWN
PROPORTIONAL COVARIANCE MATRICES 309 10.2.4 UNKNOWN COVARIANCE MATRICES
309 10.3 A FIRST APPROXIMATE PERMUTATION SOLUTION 310 10.3.1 APPROXIMATE
SOLUTION BASED ON ASPIN AND WELCH STATISTICS 310 10.3.2 AN EXAMPLE 311
10.3.3 EXTENSION OF APPROXIMATE SOLUTION TO MULTIVARIATE SITUATIONS 312
10.4 AN ALMOST EXACT PERMUTATION SOLUTION 313 10.4.1 A UNIVARIATE
SOLUTION BY TESTING FOR SYMMETRY 313 10.4.2 COMBINING TWO TESTS OF
SYMMETRY 315 10.4.3 ASYMPTOTIC BEHAVIOUR 316 10.5 EXTENSION TO C 2
GROUPS 317 10.6 MULTIVARIATE PERMUTATION SOLUTIONS 318 10.6.1
MULTIVARIATE SOLUTIONS FOR SYMMETRIC DISTRIBUTIONS . . . 318 10.6.2
THREE MULTIVARIATE TESTING PROBLEMS 319 10.7 DISTRIBUTIONAL BEHAVIOUR
321 10.7.1 A SIMULATION STUDY IN H O 321 10.7.2 A SIMULATION STUDY IN HI
322 10.8 PERMUTATION TESTING FOR LOCATION AND SCALE COEFFICIENTS . . . .
324 10.8.1 AN APPROXIMATE SOLUTION FOR SCALE COEFFICIENTS 324 10.8.2
JOINT PERMUTATION TESTING FOR LOCATION AND SCALE COEFFICIENTS 325 10.9
PROBLEMS AND EXERCISES 326 11 PERMUTATION TESTING FOR REPEATED
MEASUREMENTS 329 11.1 INTRODUCTION 329 11.2 MODELLING REPEATED
MEASUREMENTS 330 11.2.1 A GENERAL ADDITIVE MODEL 330 11.2.2 THE
HYPOTHESES OF INTEREST 332 11.3 TESTING SOLUTIONS 333 11.3.1 SOLUTIONS
BY THE NONPARAMETRIC COMBINATION APPROACH 333 11.3.2 ANALYSIS OF
TWO-SAMPLE DOMINANCE PROBLEMS 335 11.3.3 AN EXAMPLE FROM THE LITERATURE
335 11.3.4 SOME POWER EVALUATIONS 337 11.4 TESTING FOR REPEATED
MEASUREMENTS WITH MISSING DATA 338 XIV CONTENTS 11.4.1 INTRODUCTION 338
11.4.2 A FORMAL DESCRIPTION OF THE PROBLEM 338 11.4.3 AN EXAMPLE 340
11.4.4 A COMPARATIVE SIMULATION STUDY 341 11.5 TESTS FOR BALANCED AND
UNBALANCED REPEATED MEASURES DESIGNS 343 11.5.1 REPEATED MEASURES ON 2 2
UNBALANCED FACTORIALS . . . . 343 11.5.2 ON I X J BALANCED DESIGNS 344
11.6 PROBLEMS AND EXERCISES 345 12 FURTHER APPLICATIONS 347 12.1
INTRODUCTION 347 12.2 MORPHOLOGICAL DIFFERENCES IN BITING FLIES 348
12.2.1 DESCRIPTION OF THE PROBLEM 348 12.2.2 RESULTS OF ANALYSIS 349
12.3 A CLINICAL TRIAL ON A RESPIRATORY DRUG 350 12.3.1 DESCRIPTION OF
THE PROBLEM 350 12.3.2 RESULTS OF ANALYSIS 351 12.4 A MEDICAL EXPERIMENT
ON DIABETIC PATIENTS 352 12.4.1 DESCRIPTION OF THE PROBLEM 352 12.4.2
RESULTS OF ANALYSIS 353 12.5 A CASE STUDY OF RECOVERY WARDS 355 12.5.1
DESCRIPTION OF THE PROBLEM 355 12.5.2 RESULTS OF ANALYSIS 357 12.6
ANALYSIS OF EXPERIMENTAL TUMOUR GROWTH CURVES 358 12.6.1 DESCRIPTION OF
THE PROBLEM 358 12.6.2 RESULTS OF ANALYSIS 360 12.7 AN EPIDEMIOLOGICAL
SURVEY 361 12.7.1 DESCRIPTION OF THE PROBLEM 361 12.7.2 RESULTS OF
ANALYSIS 363 12.8 APPENDIX: NPC TEST 2.0 SOFTWARE FOR MULTIVARIATE AND
MULTISTRATA PERMUTATION ANALYSIS 365 REFERENCES 371 INDEX 399
|
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| id | DE-604.BV014053604 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:56:48Z |
| institution | BVB |
| isbn | 0471496707 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009623471 |
| oclc_num | 45800058 |
| open_access_boolean | |
| owner | DE-19 DE-BY-UBM DE-29 DE-20 DE-355 DE-BY-UBR DE-11 DE-578 |
| owner_facet | DE-19 DE-BY-UBM DE-29 DE-20 DE-355 DE-BY-UBR DE-11 DE-578 |
| physical | XXVI, 408 S. Ill., graph. Darst. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Wiley |
| record_format | marc |
| spelling | Pesarin, Fortunato Verfasser aut Multivariate permutation tests with applications in biostatistics Fortunato Pesarin Chichester [u.a.] Wiley 2001 XXVI, 408 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Analyse multivariée Biometrie gtt Biométrie Multivariate analyse gtt Permutaties gtt Testen gtt Tests d'hypothèses (Statistique) Biometry Biometry methods Multivariate Analysis Multivariate analysis Statistical hypothesis testing Multivariate Analyse (DE-588)4040708-1 gnd rswk-swf Biostatistik (DE-588)4729990-3 gnd rswk-swf Multivariate Analyse (DE-588)4040708-1 s Biostatistik (DE-588)4729990-3 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009623471&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Pesarin, Fortunato Multivariate permutation tests with applications in biostatistics Analyse multivariée Biometrie gtt Biométrie Multivariate analyse gtt Permutaties gtt Testen gtt Tests d'hypothèses (Statistique) Biometry Biometry methods Multivariate Analysis Multivariate analysis Statistical hypothesis testing Multivariate Analyse (DE-588)4040708-1 gnd Biostatistik (DE-588)4729990-3 gnd |
| subject_GND | (DE-588)4040708-1 (DE-588)4729990-3 |
| title | Multivariate permutation tests with applications in biostatistics |
| title_auth | Multivariate permutation tests with applications in biostatistics |
| title_exact_search | Multivariate permutation tests with applications in biostatistics |
| title_full | Multivariate permutation tests with applications in biostatistics Fortunato Pesarin |
| title_fullStr | Multivariate permutation tests with applications in biostatistics Fortunato Pesarin |
| title_full_unstemmed | Multivariate permutation tests with applications in biostatistics Fortunato Pesarin |
| title_short | Multivariate permutation tests |
| title_sort | multivariate permutation tests with applications in biostatistics |
| title_sub | with applications in biostatistics |
| topic | Analyse multivariée Biometrie gtt Biométrie Multivariate analyse gtt Permutaties gtt Testen gtt Tests d'hypothèses (Statistique) Biometry Biometry methods Multivariate Analysis Multivariate analysis Statistical hypothesis testing Multivariate Analyse (DE-588)4040708-1 gnd Biostatistik (DE-588)4729990-3 gnd |
| topic_facet | Analyse multivariée Biometrie Biométrie Multivariate analyse Permutaties Testen Tests d'hypothèses (Statistique) Biometry Biometry methods Multivariate Analysis Multivariate analysis Statistical hypothesis testing Multivariate Analyse Biostatistik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009623471&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT pesarinfortunato multivariatepermutationtestswithapplicationsinbiostatistics |