Multivariate statistical inference and applications:
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New York [u.a.]
Wiley
1998
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Schriftenreihe: | Wiley series in probability and statistics : Texts and references section
A Wiley-interscience publication |
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Online-Zugang: | Publisher description Table of contents Inhaltsverzeichnis |
Beschreibung: | XX, 559 S. graph. Darst. Diskette (9 cm) |
ISBN: | 0471571512 |
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100 | 1 | |a Rencher, Alvin C. |d 1934- |e Verfasser |0 (DE-588)136269230 |4 aut | |
245 | 1 | 0 | |a Multivariate statistical inference and applications |c Alvin C. Rencher |
264 | 1 | |a New York [u.a.] |b Wiley |c 1998 | |
300 | |a XX, 559 S. |b graph. Darst. |e Diskette (9 cm) | ||
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490 | 0 | |a Wiley series in probability and statistics : Texts and references section | |
490 | 0 | |a A Wiley-interscience publication | |
650 | 7 | |a Analyse factorielle |2 ram | |
650 | 7 | |a Analyse multivariée |2 ram | |
650 | 7 | |a Multivariate analyse |2 gtt | |
650 | 7 | |a Statistique - Problèmes et exercices |2 ram | |
650 | 7 | |a Statistique - Tables |2 ram | |
650 | 7 | |a Statistique |2 ram | |
650 | 4 | |a Multivariate analysis | |
650 | 0 | 7 | |a Multivariate Analyse |0 (DE-588)4040708-1 |2 gnd |9 rswk-swf |
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adam_text | MULTIVARIATE STATISTICAL INFERENCE AND APPLICATIONS ALVIN C. RENCHER
DEPARTMENT OF STATISTICS BRIGHAM YOUNG UNIVERSITY A WILEY-INTERSCIENCE
PUBLICATION JOHN WILEY & SONS, INC. NEW YORK * CHICHESTER * WEINHEIM *
BRISBANE * SINGAPORE * TORONTO CONTENTS SOME PROPERTIES OF RANDOM
VECTORS AND MATRICES 1 1.1. INTRODUCTION, 1 1.2. UNIVARIATE AND
BIVARIATE RANDOM VARIABLES, 2 1.2.1. UNIVARIATE RANDOM VARIABLES, 2
1.2.2. BIVARIATE RANDOM VARIABLES, 4 1.3. MEAN VECTORS AND COVARIANCE
MATRICES FOR RANDOM VECTORS, 6 1.4. CORRELATION MATRICES, 11 1.5.
PARTITIONED MEAN VECTORS AND COVARIANCE MATRICES, 12 1.6. LINEAR
FUNCTIONS OF RANDOM VARIABLES, 14 1.6.1. SAMPLE MEANS, VARIANCES, AND
COVARIANCES, 14 1.6.2. POPULATION MEANS, VARIANCES, AND COVARIANCES, 19
1.7. MEASURING INTERCORRELATION, 20 1.8. MAHALANOBIS DISTANCE, 22 1.9.
MISSINGDATA, 23 1.10. ROBUST ESTIMATORS OF FI AND 2 , 27 THE
MULTIVARIATE NORMAL DISTRIBUTION 37 2.1. UNIVARIATE AND MULTIVARIATE
NORMAL DENSITY FUNCTIONS, 37 2.1.1. UNIVARIATE NORMAL, 37 2.1.2.
MULTIVARIATE NORMAL, 38 2.1.3. CONSTANT DENSITY ELLIPSOIDS, 40 2.1.4.
GENERATING MULTIVARIATE NORMAL DATA, 42 2.1.5. MOMENTS, 42 2.2.
PROPERTIES OF MULTIVARIATE NORMAL RANDOM VECTORS, 43 2.3. ESTIMATION OF
PARAMETERS IN THE MULTIVARIATE NORMAL DISTRIBUTION, 49 V VI CONTENTS
2.3.1. MAXIMUM LIKELIHOOD METHOD, 49 2.3.2. PROPERTIESOFYANDS, 52 2.3.3.
WISHART DISTRIBUTION, 53 2.4. ADDITIONAL TOPICS, 56 3. HOTELLING S T 2
-TESTS 60 3.1. INTRODUCTION, 60 3.2. TEST FOR HQ: FI = FI 0 WITH 2
KNOWN, 60 3.3. HOTELLING S T 2 -TEST FOR // 0 : FI = /X 0 WITH 2
UNKNOWN, 61 3.3.1. UNIVARIATE F-TEST FOR HO: IX * IM WITH A 2 UNKNOWN,
61 3.3.2. LIKELIHOOD RATIO METHOD OF TEST CONSTRUCTION, 62 3.3.3.
ONE-SAMPLE R 2 -TEST, 65 3.3.4. FORMAL DEFINITION OF T 2 AND
RELATIONSHIP TO F, 66 3.3.5. EFFECT ON 7 2 OF ADDING A VARIABLE, 67
3.3.6. PROPERTIESOFTHE7 2 -TEST, 70 3.3.7. LIKELIHOOD RATIO TEST, 71
3.3.8. UNION-INTERSECTION TEST, 72 3.4. CONFIDENCE INTERVALS AND TESTS
FOR LINEAR FUNCTIONS OF FI, 74 3.4.1. CONFIDENCE REGION FOR FT, 74
3.4.2. CONFIDENCE INTERVAL FOR A SINGLE LINEAR COMBINATION A FI, 74
3.4.3. SIMULTANEOUS CONFIDENCE INTERVALS FOR IJLJ AND A /M, 74 3.4.4.
BONFERRONI CONFIDENCE INTERVALS FOR /X, AND A /U,. 77 3.4.5. TESTS FOR H
0 : A /U, = A JTO AND H 0 : JU, 7 = /XO ; -, 79 3.4.6. TESTS FOR H 0 :
CP = 0, 83 3.5. TESTS OF H 0 : FX { = FT 2 ASSUMING 21 = 2 2 , 85 3.5.1.
REVIEW OF UNIVARIATE LIKELIHOOD RATIO TEST FOR H 0 : IX * N 2 WHEN A 2
= ER 2 , 85 3.5.2. TEST FOR H 0 : (JL { = FI 2 WHEN 21 = 2 2 , 87 3.5.3.
EFFECT ON T 2 OF ADDING A VARIABLE, 87 3.5.4. PROPERTIES OF
THETWO-SAMPLE R 2 -STATISTIC, 91 3.5.5. LIKELIHOOD RATIO AND
UNION-INTERSECTION TESTS, 91 3.6. CONFIDENCE INTERVALS AND TESTS FOR
LINEAR FUNCTIONS OF TWO MEAN VECTORS, 92 3.6.1. CONFIDENCE REGION FOR FN
X * FI, 2 , 93 3.6.2. SIMULTANEOUS CONFIDENCE INTERVALS FOR A IPI ~~ M2)
ANC ^ MI; - M2;, 93 3.6.3. BONFERRONI CONFIDENCE INTERVALS FOR A (/*I _
M2) ANC * MI; _ M2;, 9 4 CONTENTS VII 3.6.4. TESTS FOR H 0 :A (FI 1 *
FI 2 ) = A ^O AND H 0J : TNJ ~ MJ = 0, 94 3.6.5. TEST FOR H 0 : C(/A, -
FI 2 ) = 0, 95 3.7. ROBUSTNESS OF THE R 2 -TEST, 96 3.7.1. ROBUSTNESS TO
2, + X 2 , 96 3.7.2. ROBUSTNESS TO NONNORMALITY, 96 3.8. PAIRED
OBSERVATION TEST, 97 3.9. TESTING H 0 : MI = M 2 WHEN 21 = X 2 , 99
3.9.1. UNIVARIATE CASE , 99 3.9.2. MULTIVARIATE CASE, 100 3.10. POWER
AND SAMPLE SIZE, 104 3.11. TESTS ON A SUBVECTOR, 108 3.11.1. TWO-SAMPLE
CASE, 108 3.11.2. STEP-DOWN TEST, 110 3.11.3. SELECTIONOF VARIABLES, 111
3.11.4. ONE-SAMPLE CASE, 112 3.12. NONNORMAL APPROACHES TO HYPOTHESIS
TESTING, 112 3.12.1. ELLIPTICALLY CONTOURED DISTRIBUTIONS, 112 3.12.2.
NONPARAMETRIC TESTS, 113 3.12.3. ROBUST VERSIONS OF T 2 , 114 3.13.
APPLICATION OF T 2 IN MULTIVARIATE QUALITY CONTROL, 114 4. MULTIVARIATE
ANALYSIS OF VARIANCE 121 4.1. ONE-WAY CLASSIFICATION, 121 4.1.1. MODEL
FOR ONE-WAY MULTIVARIATE ANALYSIS OF VARIANCE, 121 4.1.2. WILKS
LIKELIHOOD RATIO TEST, 122 4.1.3. ROY S UNION-INTERSECTION TEST, 127
4.1.4. THE PILLAI AND LAWLEY-HOTELLING TEST STATISTICS, 130 4.1.5.
SUMMARY OF THE FOUR TEST STATISTICS, 131 4.1.6. EFFECT OF AN ADDITIONAL
VARIABLE ON WILKS A, 132 4.1.7. TESTS ON INDIVIDUAL VARIABLES, 134 4.2.
POWER AND ROBUSTNESS COMPARISONS FOR THE FOUR MANOVA TEST STATISTICS,
135 4.3. TESTS FOR EQUALITY OF COVARIANCE MATRICES, 138 4.4. POWER AND
SAMPLE SIZE FOR THE FOUR MANOVA TESTS, 140 4.5. CONTRASTS AMONG MEAN
VECTORS, 142 4.5.1. UNIVARIATE CONTRASTS, 142 4.5.2. MULTIVARIATE
CONTRASTS, 145 VIII CONTENTS 4.6. TWO-WAY MULTIVARIATE ANALYSIS OF
VARIANCE, 148 4.7. HIGHER ORDER MODELS, 151 4.8. UNBALANCED DATA, 152
4.8.1. INTRODUCTION, 152 4.8.2. UNIVARIATE ONE-WAY MODEL, 153 4.8.3.
MULTIVARIATE ONE-WAY MODEL, 155 4.8.4. UNIVARIATE TWO-WAY MODEL, 160
4.8.5. MULTIVARIATE TWO-WAY MODEL, 168 4.9. TESTS ON A SUBVECTOR, 174
4.9.1. TESTING A SINGLE SUBVECTOR, 174 4.9.2. STEP-DOWN TEST, 177 4.9.3.
STEPWISE SELECTION OF VARIABLES, 177 4.10. MULTIVARIATE ANALYSIS OF
COVARIANCE, 178 4.10.1. INTRODUCTION, 178 4.10.2. UNIVARIATE ANALYSIS OF
COVARIANCE: ONE-WAY MODEL WITH ONE COVARIATE, 179 4.10.3. UNIVARIATE
ANALYSIS OF COVARIANCE: TWO-WAY MODEL WITH ONE COVARIATE, 183 4.10.4.
ADDITIONAL TOPICS IN UNIVARIATE ANALYSIS OF COVARIANCE, 186 4.10.5.
MULTIVARIATE ANALYSIS OF COVARIANCE, 187 4.11. ALTERNATIVE APPROACHES TO
TESTING HO-T* I ~ J*2 = *** - PK 19 4 5. DISCRIMINANT FUNCTIONS FOR
DESCRIPTIVE GROUP SEPARATION 201 5.1. INTRODUCTION, 201 5.2. TWOGROUPS,
201 5.3. SEVERAL GROUPS, 202 5.3.1. DISCRIMINANT FUNCTIONS, 202 5.3.2.
ASSUMPTIONS, 205 5.4. STANDARDIZED COEFFICIENTS, 206 5.5. TESTS OF
HYPOTHESES, 207 5.5.1. TWOGROUPS, 207 5.5.2. SEVERAL GROUPS, 209 5.6.
DISCRIMINANT ANALYSIS FOR HIGHER ORDER DESIGNS, 210 5.7. INTERPRETATION
OF DISCRIMINANT FUNCTIONS, 210 5.7.1. STANDARDIZED COEFFICIENTS AND
PARTIAL F-VALUES, 211 5.7.2. CORRELATIONS BETWEEN VARIABLES AND
DISCRIMINANT FUNCTIONS, 211 CONTENTS IX 5.7.3. OTHER APPROACHES, 215
5.8. CONFIDENCE INTERVALS, 216 5.9. SUBSET SELECTION, 216 5.9.1.
DISCRIMINANT FUNCTION APPROACH TO SELECTION, 217 5.9.2. STEPWISE
SELECTION, 217 5.9.3. ALL POSSIBLE SUBSETS, 218 5.9.4. SELECTION IN
HIGHER ORDER DESIGNS, 218 5.10. BIAS IN SUBSET SELECTION, 219 5.11.
OTHER ESTIMATORS OF DISCRIMINANT FUNCTIONS, 221 5.11.1. RIDGE
DISCRIMINANT ANALYSIS AND RELATED TECHNIQUES, 222 5.11.2. ROBUST
DISCRIMINANT ANALYSIS, 223 6. CLASSIFICATION OF OBSERVATIONS INTO GROUPS
230 6.1. INTRODUCTION, 230 6.2. TWO GROUPS, 230 6.2.1. EQUAL POPULATION
COVARIANCE MATRICES, 230 6.2.2. UNEQUAL POPULATION COVARIANCE MATRICES,
232 6.2.3. UNEQUAL COSTS OF MISCLASSIFICATION, 233 6.2.4. POSTERIOR
PROBABILITY APPROACH, 234 6.2.5. ROBUSTNESS TO DEPARTURES FROM THE
ASSUMPTIONS, 234 6.2.6. ROBUST PROCEDURES, 235 6.3. SEVERAL GROUPS, 236
6.3.1. EQUAL POPULATION COVARIANCE MATRICES, 236 6.3.2. UNEQUAL
POPULATION COVARIANCE MATRICES, 237 6.3.3. USE OF LINEAR DISCRIMINANT
FUNCTIONS FOR CLASSIFICATION, 239 6.4. ESTIMATION OF ERROR RATES, 240
6.5. CORRECTING FOR BIAS IN THE APPARENT ERROR RATE, 244 6.5.1.
PARTITIONING THE SAMPLE, 244 6.5.2. HOLDOUT METHOD, 244 6.5.3. BOOTSTRAP
ESTIMATOR, 245 6.5.4. COMPARISON OF ERROR ESTIMATORS, 245 6.6. SUBSET
SELECTION, 247 6.6.1. SELECTION BASED ON SEPARATION OF GROUPS, 247
6.6.2. SELECTION BASED ON ALLOCATION, 249 6.6.3. SELECTION IN THE
HETEROSCEDASTIC CASE, 250 6.7. BIAS IN STEPWISE CLASSIFICATION ANALYSIS,
251 6.8. LOGISTIC AND PROBIT CLASSIFICATION, 254 X CONTENTS 6.8.1. THE
LOGISTIC MODEL FOR TWO GROUPS WITH 2, = 2 2 254 6.8.2. COMPARISON OF
LOGISTIC CLASSIFICATION WITH LINEAR CLASSIFICATION FUNCTIONS, 256 6.8.3.
QUADRATIC LOGISTIC FUNCTIONS WHEN X I = X2, 258 6.8.4. LOGISTIC
CLASSIFICATION FOR SEVERAL GROUPS, 258 6.8.5. ADDITIONAL TOPICS IN
LOGISTIC CLASSIFICATION, 259 6.8.6. PROBIT CLASSIFICATION, 259 6.9.
ADDITIONAL TOPICS IN CLASSIFICATION, 261 7. MULTIVARIATE REGRESSION 266
7.1. INTRODUCTION, 266 7.2. MULTIPLE REGRESSION: FIXEDX S, 267 7.2.1.
LEAST SQUARES ESTIMATORS AND PROPERTIES, 267 7.2.2. AN ESTIMATOR FOR ER
2 , 268 7.2.3. THE MODEL IN CENTERED FORM, 269 7.2.4. HYPOTHESIS TESTS
AND CONFIDENCE INTERVALS, 271 7.2.5. R 2 IN FIXED-JT REGRESSION, 275
7.2.6. MODEL VALIDATION, 275 7.3. MULTIPLE REGRESSION: RANDOM X S, 276
7.3.1. MODEL FOR RANDOM X S, 276 7.3.2. ESTIMATION OF SSO SS , AND CT 2 ,
277 7.3.3. R 2 IN RANDOM-X REGRESSION, 278 7.3.4. TESTS AND CONFIDENCE
INTERVALS, 279 7.4. ESTIMATION IN THE MULTIVARIATE MULTIPLE REGRESSION
MODEL: FIXEDX S, 279 7.4.1. THE MULTIVARIATE MODEL, 279 7.4.2. LEAST
SQUARES ESTIMATOR FOR B, 281 7.4.3. PROPERTIES OF B, 283 7.4.4. AN
ESTIMATOR FOR X, 285 7.4.5. NORMAL MODEL FOR THE Y, S, 286 7.4.6. THE
MULTIVARIATE MODEL IN CENTERED FORM, 288 7.4.7. MEASURES OF MULTIVARIATE
ASSOCIATION, 289 7.5. HYPOTHESIS TESTS IN THE MULTIVARIATE MULTIPLE
REGRESSION MODEL: FIXEDX S, 289 7.5.1. TEST FOR SIGNIFICANCE OF
REGRESSION, 289 7.5.2. TEST ONASUBSETOF THE ROWSOFB, 293 7.5.3. GENERAL
LINEAR HYPOTHESES CB = O AND CBM = O, 295 7.5.4. TESTS AND CONFIDENCE
INTERVALS FOR A SINGLE SSSS AND A BILINEAR FUNCTION A BB, 297 CONTENTS XI
7.5.5. SIMULTANEOUS TESTS AND CONFIDENCE INTERVALS FOR THE SS JK S AND
BILINEAR FUNCTIONS A BB, 298 7.5.6. TESTS IN THE PRESENCE OF MISSING
DATA, 299 7.6. MULTIVARIATE MODEL VALIDATION: FIXEDX S, 300 7.6.1.
LACK-OF-FIT TESTS, 300 7.6.2. RESIDUAIS, 300 7.6.3. INFLUENCE AND
OUTLIERS, 301 7.6.4. MEASUREMENT ERRORS, 303 7.7. MULTIVARIATE
REGRESSION: RANDOM X S, 303 7.7.1. MULTIVARIATE NORMAL MODEL FOR RANDOM
X S, 303 7.7.2. ESTIMATIONOFSSO, BI.ANDX, 304 7.7.3. TESTS AND CONFIDENCE
INTERVALS IN THE MULTIVARIATE RANDOM-X CASE, 305 7.8. ADDITIONAL TOPICS,
305 7.8.1. CORRELATED RESPONSE METHODS, 305 7.8.2. CATEGORICAL DATA, 306
7.8.3. SUBSET SELECTION, 307 7.8.4. OTHER TOPICS, 307 8. CANONICAL
CORRELATION 312 8.1. INTRODUCTION, 312 8.2. CANONICAL CORRELATIONS AND
CANONICAL VARIATES, 312 8.3. PROPERTIES OF CANONICAL CORRELATIONS AND
VARIATES, 318 8.3.1. PROPERTIES OF CANONICAL CORRELATIONS, 318 8.3.2.
PROPERTIES OF CANONICAL VARIATES, 320 8.4. TESTS OF SIGNIFICANCE FOR
CANONICAL CORRELATIONS, 320 8.4.1. TESTS OF INDEPENDENCE OF Y AND X, 320
8.4.2. TEST OF DIMENSION OF RELATIONSHIP BETWEEN THE Y S AND THE X S,
324 8.5. VALIDATION, 326 8.6. INTERPRETATION OF CANONICAL VARIATES, 328
8.6.1. STANDARDIZED COEFFICIENTS, 328 8.6.2. ROTATION OF CANONICAL
VARIATE COEFFICIENTS, 328 8.6.3. CORRELATIONS BETWEEN VARIABLES AND
CANONICAL VARIATES, 329 8.7. REDUNDANCY ANALYSIS, 331 8.8. ADDITIONAL
TOPICS, 333 XII CONTENTS 9. PRINCIPAL COMPONENT ANALYSIS 337 9.1.
INTRODUCTION, 337 9.2. DEFINITION AND PROPERTIES OF PRINCIPAL
COMPONENTS, 338 9.2.1. MAXIMUM VARIANCE PROPERTY, 338 9.2.2. PRINCIPAL
COMPONENTS AS PROJECTIONS, 340 9.2.3. PROPERTIES OF PRINCIPAL
COMPONENTS, 341 9.3. PRINCIPAL COMPONENTS AS A ROTATION OF AXES, 343
9.4. PRINCIPAL COMPONENTS FROM THE CORRELATION MATRIX, 344 9.5. METHODS
FOR DISCARDING COMPONENTS, 347 9.5.1. PERCENT OF VARIANCE, 347 9.5.2.
AVERAGE EIGENVALUE, 348 9.5.3. SCREE GRAPH, 348 9.5.4. SIGNIFICANCE
TESTS, 349 9.5.5. OTHER METHODS, 352 9.6. INFORMATION IN THE LAST FEW
PRINCIPAL COMPONENTS, 352 9.7. INTERPRETATION OF PRINCIPAL COMPONENTS,
353 9.7.1. SPECIAL PATTERNS IN S OR R, 353 9.7.2. TESTING H 0 : X = ER 2
[(1 - P)I + PJ] AND P P = (1 - P)I + PJ, 357 9.7.3. ADDITIONAL ROTATION,
359 9.7.4. CORRELATIONS BETWEEN VARIABLES AND PRINCIPAL COMPONENTS, 361
9.8. RELATIONSHIP BETWEEN PRINCIPAL COMPONENTS AND REGRESSION, 363
9.8.1. PRINCIPAL COMPONENT REGRESSION, 364 9.8.2. LATENT ROOT
REGRESSION, 370 9.9. PRINCIPAL COMPONENT ANALYSIS WITH GROUPED DATA, 371
9.10. ADDITIONAL TOPICS, 372 10. FACTOR ANALYSIS 377 10.1. INTRODUCTION,
377 10.2. BASIC FACTOR MODEL, 377 10.2.1. MODEL AND ASSUMPTIONS, 377
10.2.2. SCALE INVARIANCE OF THE MODEL, 379 10.2.3. ROTATION OF FACTOR
LOADINGS IN THE MODEL, 380 10.3. ESTIMATION OF LOADINGS AND
COMMUNALITIES, 381 10.3.1. PRINCIPAL COMPONENT METHOD, 381 10.3.2.
PRINCIPAL FACTOR METHOD, 383 10.3.3. ITERATED PRINCIPAL FACTOR METHOD,
384 CONTENTS XIII 10.3.4. MAXIMUM LIKELIHOOD METHOD, 384 10.3.5. OTHER
METHODS, 385 10.3.6. COMPARISON OF METHODS, 385 10.4. DETERMINING THE
NUMBER OF FACTORS, M, 386 10.5. ROTATION OF FACTOR LOADINGS, 387 10.5.1.
INTRODUCTION, 387 10.5.2. ORTHOGONAL ROTATION, 388 10.5.3. OBLIQUE
ROTATIONS, 389 10.5.4. INTERPRETATION OF THE FACTORS, 390 10.6. FACTOR
SCORES, 391 10.7. APPLICABILITY OF THE FACTOR ANALYSIS MODEL, 392 10.8.
FACTOR ANALYSIS AND GROUPED DATA, 393 10.9. ADDITIONAL TOPICS, 394
APPENDIX A. REVIEW OF MATRIX ALGEBRA 399 A.L. INTRODUCTION, 399 A.L.L.
BASIC DEFINITIONS, 399 A.1.2. MATRICES WITH SPECIAL PATTERNS, 400 A.2.
PROPERTIES OF MATRIX ADDITION AND MULTIPHCATION, 401 A.3. PARTITIONED
MATRICES, 404 A.4. RANK OF MATRICES, 406 A.5. INVERSE MATRICES, 407 A.6.
POSITIVE DEFINITE AND POSITIVE SEMIDEFINITE MATRICES, 408 A.7.
DETERMINANTS, 409 A.8. TRACEOFA MATRIX, 410 A.9. ORTHOGONAL VECTORS AND
MATRICES, 410 A.10. EIGENVALUES AND EIGENVECTORS, 411 A. 11.
EIGENSTRUCTURE OF SYMMETRIE AND POSITIVE DEFINITE MATRICES, 412 A.12.
IDEMPOTENT MATRICES, 414 A.B. DIFFERENTIATION, 414 APPENDIX B. TABLES
417 APPENDIX C. ANSWERS AND HINTS TO SELECTED PROBLEMS 449 APPENDIX D.
ABOUT THE DISKETTE 505 BIBLIOGRAPHY 507 INDEX 549
|
any_adam_object | 1 |
author | Rencher, Alvin C. 1934- |
author_GND | (DE-588)136269230 |
author_facet | Rencher, Alvin C. 1934- |
author_role | aut |
author_sort | Rencher, Alvin C. 1934- |
author_variant | a c r ac acr |
building | Verbundindex |
bvnumber | BV012024084 |
callnumber-first | Q - Science |
callnumber-label | QA278 |
callnumber-raw | QA278.R453 1998 |
callnumber-search | QA278.R453 1998 |
callnumber-sort | QA 3278 R453 41998 |
callnumber-subject | QA - Mathematics |
classification_rvk | SK 830 |
classification_tum | MAT 627f |
ctrlnum | (OCoLC)45727371 (DE-599)BVBBV012024084 |
dewey-full | 519.5/3521 519.5/35 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 519 - Probabilities and applied mathematics |
dewey-raw | 519.5/35 21 519.5/35 |
dewey-search | 519.5/35 21 519.5/35 |
dewey-sort | 3519.5 235 221 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Book |
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genre | (DE-588)4123623-3 Lehrbuch gnd-content |
genre_facet | Lehrbuch |
id | DE-604.BV012024084 |
illustrated | Illustrated |
indexdate | 2024-07-09T18:20:23Z |
institution | BVB |
isbn | 0471571512 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008138902 |
oclc_num | 45727371 |
open_access_boolean | |
owner | DE-824 DE-384 DE-19 DE-BY-UBM DE-91G DE-BY-TUM DE-83 DE-11 DE-188 |
owner_facet | DE-824 DE-384 DE-19 DE-BY-UBM DE-91G DE-BY-TUM DE-83 DE-11 DE-188 |
physical | XX, 559 S. graph. Darst. Diskette (9 cm) |
publishDate | 1998 |
publishDateSearch | 1998 |
publishDateSort | 1998 |
publisher | Wiley |
record_format | marc |
series2 | Wiley series in probability and statistics : Texts and references section A Wiley-interscience publication |
spelling | Rencher, Alvin C. 1934- Verfasser (DE-588)136269230 aut Multivariate statistical inference and applications Alvin C. Rencher New York [u.a.] Wiley 1998 XX, 559 S. graph. Darst. Diskette (9 cm) txt rdacontent n rdamedia nc rdacarrier Wiley series in probability and statistics : Texts and references section A Wiley-interscience publication Analyse factorielle ram Analyse multivariée ram Multivariate analyse gtt Statistique - Problèmes et exercices ram Statistique - Tables ram Statistique ram Multivariate analysis Multivariate Analyse (DE-588)4040708-1 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Multivariate Analyse (DE-588)4040708-1 s DE-604 http://www.loc.gov/catdir/description/wiley034/97005255.html Publisher description http://www.loc.gov/catdir/toc/wiley022/97005255.html Table of contents GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008138902&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Rencher, Alvin C. 1934- Multivariate statistical inference and applications Analyse factorielle ram Analyse multivariée ram Multivariate analyse gtt Statistique - Problèmes et exercices ram Statistique - Tables ram Statistique ram Multivariate analysis Multivariate Analyse (DE-588)4040708-1 gnd |
subject_GND | (DE-588)4040708-1 (DE-588)4123623-3 |
title | Multivariate statistical inference and applications |
title_auth | Multivariate statistical inference and applications |
title_exact_search | Multivariate statistical inference and applications |
title_full | Multivariate statistical inference and applications Alvin C. Rencher |
title_fullStr | Multivariate statistical inference and applications Alvin C. Rencher |
title_full_unstemmed | Multivariate statistical inference and applications Alvin C. Rencher |
title_short | Multivariate statistical inference and applications |
title_sort | multivariate statistical inference and applications |
topic | Analyse factorielle ram Analyse multivariée ram Multivariate analyse gtt Statistique - Problèmes et exercices ram Statistique - Tables ram Statistique ram Multivariate analysis Multivariate Analyse (DE-588)4040708-1 gnd |
topic_facet | Analyse factorielle Analyse multivariée Multivariate analyse Statistique - Problèmes et exercices Statistique - Tables Statistique Multivariate analysis Multivariate Analyse Lehrbuch |
url | http://www.loc.gov/catdir/description/wiley034/97005255.html http://www.loc.gov/catdir/toc/wiley022/97005255.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008138902&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT rencheralvinc multivariatestatisticalinferenceandapplications |