Introduction to graphical modelling:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
New York, NY [u.a.]
Springer
2000
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | Springer texts in statistics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 317 - 327 |
| Beschreibung: | XV, 333 S. Ill., graph. Darst. : 24 cm |
| ISBN: | 0387950540 |
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| 100 | 1 | |a Edwards, David |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Introduction to graphical modelling |c David Edwards |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a New York, NY [u.a.] |b Springer |c 2000 | |
| 300 | |a XV, 333 S. |b Ill., graph. Darst. : 24 cm | ||
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| 500 | |a Literaturverz. S. 317 - 327 | ||
| 650 | 7 | |a Grafentheorie |2 gtt | |
| 650 | 4 | |a Modèles graphiques (Statistique) | |
| 650 | 7 | |a Multivariate analyse |2 gtt | |
| 650 | 7 | |a Statistische modellen |2 gtt | |
| 650 | 4 | |a Graphical modeling (Statistics) | |
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Datensatz im Suchindex
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DAVID EDWARDS INTRODUCTION TO GRAPHICAL MODELLING SECOND EDITION WITH 83
ILLUSTRATIONS SPRINGER CONTENTS PREFACE TO THE SECOND EDITION VII
PREFACE TO THE FIRST EDITION IX 1 PRELIMINARIES 1 1.1 INDEPENDENCE AND
CONDITIONAL INDEPENDENCE 1 1.2 UNDIRECTED GRAPHS 4 1.3 DATA, MODELS, AND
GRAPHS . 6 1.4 SIMPSON'S PARADOX 8 1.5 OVERVIEW OF THE BOOK 11 2
DISCRETE MODELS 13 2.1 THREE-WAY TABLES 13 2.1.1 EXAMPLE: LIZARD
PERCHING BEHAVIOUR 17 2.2 MULTI-WAY TABLES 19 2.2.1 LIKELIHOOD EQUATIONS
20 2.2.2 DEVIANCE 21 2.2.3 GRAPHS AND FORMULAE 22 2.2.4 EXAMPLE: RISK
FACTORS FOR CORONARY HEART DISEASE 22 2.2.5 EXAMPLE: CHROMOSOME MAPPING
26 2.2.6 EXAMPLE: UNIVERSITY ADMISSIONS 32 3 CONTINUOUS MODELS 35 3.1
GRAPHICAL GAUSSIAN MODELS 35 3.1.1 LIKELIHOOD 38 3.1.2 MAXIMUM
LIKELIHOOD ESTIMATION 39 3.1.3 DEVIANCE 40 XII CONTENTS 3.1.4 EXAMPLE:
DIGOXIN CLEARANCE 41 3.1.5 EXAMPLE: ANXIETY AND ANGER 44 3.1.6 EXAMPLE:
MATHEMATICS MARKS 45 3.2 REGRESSION MODELS 50 3.2.1 EXAMPLE:
DETERMINANTS OF BONE MINERAL CONTENT 53 MIXED MODELS 59 4.1 HIERARCHICAL
INTERACTION MODELS 59 4.1.1 MODELS WITH ONE DISCRETE AND ONE CONTINUOUS
VARIABLE 60 4.1.2 A MODEL WITH TWO DISCRETE AND TWO CONTINUOUS VARIABLES
61 4.1.3 MODEL FORMULAE 63 4.1.4 FORMULAE AND GRAPHS 65 4.1.5 MAXIMUM
LIKELIHOOD ESTIMATION 67 4.1.6 DEVIANCE 68 4.1.7 A SIMPLE EXAMPLE 70
4.1.8 EXAMPLE: A DRUG TRIAL USING MICE 72 4.1.9 EXAMPLE: RATS' WEIGHTS
75 4.1.10 EXAMPLE: ESTROGEN AND LIPID METABOLISM 79 4.2 BREAKING MODELS
INTO SMALLER ONES 81 4.3 MEAN LINEARITY 88 4.4 DECOMPOSABLE MODELS 92
4.5 CG-REGRESSION MODELS 98 4.5.1 EXAMPLE: HEALTH STATUS INDICATORS 99
4.5.2 EXAMPLE: SIDE EFFECTS OF AN ANTIEPILEPTIC DRUG 101 4.6 INCOMPLETE
DATA 103 4.6.1 ASSUMPTIONS FOR MISSING DATA 104 4.6.2 SOME LATENT
VARIABLE MODELS 106 4.6.3 EXAMPLE: THE COMPONENTS OF A NORMAL MIXTURE
109 4.6.4 EXAMPLE: MATHEMATICS MARKS, REVISITED 113 4.7 DISCRIMINANT
ANALYSIS 117 4.7.1 EXAMPLE: BREAST CANCER 119 HYPOTHESIS TESTING 125 5.1
AN OVERVIEW 125 5.2 X 2 -TESTS 126 5.3 F-TESTS 128 5.4 EXACT CONDITIONAL
TESTS 130 5.5 DEVIANCE-BASED TESTS 134 5.6 PERMUTATION F-TEST 13 8 5.7
PEARSON X 2 -TEST 139 5.8 FISHER'S EXACT TEST 140 5.9 RANK TESTS 141
5.10 WILCOXONTEST 144| 5.11 KRUSKAL-WALLIS TEST 1481 CONTENTS XIII 5.12
JONCKHEERE-TERPSTRA TEST 150 5.13 TESTS FOR VARIANCE HOMOGENEITY 153
5.14 TESTS FOR EQUALITY OF MEANS GIVEN HOMOGENEITY 154 5.15 HOTELLING'S
T 2 155 MODEL SELECTION AND CRITICISM 157 6.1 STEPWISE SELECTION 158
6.1.1 FORWARD SELECTION 161 6.1.2 RESTRICTING SELECTION TO DECOMPOSABLE
MODELS 163 6.1.3 USING F-TESTS 164 6.1.4 COHERENCE 165 6.1.5 OTHER
VARIANTS OF STEPWISE SELECTION 166 6.2 THE EH-PROCEDURE 167 6.2.1
EXAMPLE: ESTROGEN AND LIPID METABOLISM, CONTINUED 169 6.3 SELECTION
USING INFORMATION CRITERIA 171 6.4 COMPARISON OF THE METHODS 172 .6.5
BOX-COX TRANSFORMATIONS 174 1.6.6 RESIDUAL ANALYSIS 176 DICHOTOMIZATION
184 CTED GRAPHS AND THEIR MODELS 189 ;7.1 DIRECTED ACYCLIC GRAPHS 191
7.1.1 MARKOV PROPERTIES OF DAGS 193 7.1.2 MODELLING WITH DAGS 196 7.1.3
EXAMPLE: SIDE EFFECTS OF NEUROLEPTICS 197 F$7.2 CHAIN GRAPHS 203 7.2.1
MARKOV PROPERTIES OF CHAIN GRAPHS 207 7.2.2 MODELLING WITH CHAIN GRAPHS
208 7.2.3 EXAMPLE: MEMBERSHIP OF THE "LEADING CROWD" 209 7.3 LOCAL
INDEPENDENCE GRAPHS 210 7.4 COVARIANCE GRAPHS 213 7.5 CHAIN GRAPHS WITH
ALTERNATIVE MARKOV PROPERTIES 215 7.6 RECIPROCAL GRAPHS 216 ^CAUSAL
INFERENCE 219 1.1 PHILOSOPHICAL ASPECTS 221 RUBIN'S CAUSAL MODEL 225
8.2.1 ESTIMATING CAUSAL EFFECTS 226 8.2.2 IGNORABILITY 228 8.2.3
PROPENSITY SCORE 230 8.2.4 CAUSAL HYPOTHESIS TESTING 231 PEARL'S CAUSAL
GRAPHS 234 8.3.1 A SIMPLE CAUSAL MODEL 234 8.3.2 CAUSAL GRAPHS 236 XIV
CONTENTS 8.3.3 THE BACK-DOOR CRITERION 238 8.3.4 THE FRONT-DOOR
CRITERION 240 8.4 DISCUSSION 241 8.4.1 COMPARISON OF THE TWO APPROACHES
241 8.4.2 OPERATIONAL IMPLICATIONS 242 THE MIM COMMAND LANGUAGE 245 A.I
INTRODUCTION 245 A.2 DECLARING VARIABLES 246 A.3 UNDIRECTED MODELS 248
A.3.1 DELETING EDGES 248 A.3.2 ADDING EDGES 249 A.3.3 OTHER
MODEL-CHANGING COMMANDS 250 A.3.4 MODEL PROPERTIES 250 A.4
BLOCK-RECURSIVE MODELS 251 A.4.1 DENNING THE BLOCK STRUCTURE 251 A.4.2
BLOCK MODE 252 A.4.3 DENNING BLOCK-RECURSIVE MODELS 252 A.4.4 WORKING
WITH COMPONENT MODELS 253 A.5 READING AND MANIPULATING DATA 254 A.5.1
READING CASEWISE DATA 254 A.5.2 READING COUNTS, MEANS, AND COVARIANCES
255 A.5.3 TRANSFORMING DATA 256 A.5.4 RESTRICTING OBSERVATIONS 257 A.5.5
GENERATING RAW DATA 258 A.5.6 DELETING VARIABLES 259 A.6 ESTIMATION 259
A.6.1 UNDIRECTED MODELS (COMPLETE DATA) 259 A.6.2 UNDIRECTED MODELS
(MISSING DATA) 261 A.6.3 CG-REGRESSION MODELS 265 A.7 HYPOTHESIS TESTING
267 A.7.1 X 2 -TESTS 267 A.7.2 TEST OF HOMOGENEITY 268 A.7.3 F-TESTS 268
A.7.4 EDGE DELETION TESTS 268 A.7.5 EDGE DELETION F-TESTS 269 A.7.6
EXACT TESTS 269 A.7.7 SYMMETRY TESTS 271 A.7.8 RANDOMISATION TESTS 271
A.8 MODEL SELECTION 272 A.8.1 STEPWISE SELECTION 272 A.8.2 THE
EH-PROCEDURE 275 A.8.3 SELECTION USING INFORMATION CRITERIA 277 A.9 THE
BOX-COX TRANSFORMATION 278 CONTENTS A.10 RESIDUALS 278 A. 11
DISCRIMINANT ANALYSIS 280 A.12 UTILITIES 281 A.12.1 FILE INPUT 281
A.12.2 THE WORKSPACE 281 A.12.3 PRINTING INFORMATION 282 A.12.4
DISPLAYING PARAMETER ESTIMATES 285 A.12.5 DISPLAYING SUMMARY STATISTICS
286 A.12.6 SETTING THE MAXIMUM MODEL 287 A.12.7 FIXING VARIABLES 287
A.12.8 MACROS 288 B IMPLEMENTATION SPECIFICS OF MIM 289 B.I CALLING MM
289 B.2 THE MAIN MENU 290 B.3 ENTERING COMMANDS AND NAVIGATING THE WORK
AREA 293 B.4 THE BUILT-IN EDITOR 294 B.5 INTERACTIVE DATA ENTRY 294 B.6
INDEPENDENCE GRAPHS 295 B.7 SIMPLE DATA GRAPHICS 296 B.7.1 SCATTER PLOTS
297 B.7.2 HISTOGRAMS 298 B.7.3 BOX PLOTS 298 1.8 GRAPHICS EXPORT FORMATS
299 1.9 DIRECT DATABASE ACCESS 299 1.10 PROGRAM INTERCOMMUNICATION 300 I
MULTIVARIATE SYMMETRY 301 T THE ESTIMATION ALGORITHMS 305 THE MIPS
ALGORITHM 305 D.I.I NOTATION 305 D.1.2 THE LIKELIHOOD EQUATIONS 307
D.1.3 THE GENERAL ALGORITHM 308 D.1.4 THE A-COLLAPSIBLE VARIANT 310
D.I.5 THE MEAN LINEAR VARIANT 311 D.I.6 THE Q-EQUIVALENT VARIANT 312
D.I.7 THE STEP-HALVING VARIANT 312 THE EM-ALGORITHM 313 THE ME-ALGORITHM
315 REFERENCES INDEX 317 329 |
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| illustrated | Illustrated |
| indexdate | 2024-12-06T09:03:27Z |
| institution | BVB |
| isbn | 0387950540 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009127667 |
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| physical | XV, 333 S. Ill., graph. Darst. : 24 cm |
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| series2 | Springer texts in statistics |
| spelling | Edwards, David Verfasser aut Introduction to graphical modelling David Edwards 2. ed. New York, NY [u.a.] Springer 2000 XV, 333 S. Ill., graph. Darst. : 24 cm txt rdacontent n rdamedia nc rdacarrier Springer texts in statistics Literaturverz. S. 317 - 327 Grafentheorie gtt Modèles graphiques (Statistique) Multivariate analyse gtt Statistische modellen gtt Graphical modeling (Statistics) Graphentheorie (DE-588)4113782-6 gnd rswk-swf Graph (DE-588)4021842-9 gnd rswk-swf Graphisches Modell (DE-588)4606156-3 gnd rswk-swf Statistisches Modell (DE-588)4121722-6 gnd rswk-swf Multivariate Analyse (DE-588)4040708-1 gnd rswk-swf Multivariate Analyse (DE-588)4040708-1 s Statistisches Modell (DE-588)4121722-6 s Graph (DE-588)4021842-9 s DE-604 Graphisches Modell (DE-588)4606156-3 s Graphentheorie (DE-588)4113782-6 s HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009127667&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Edwards, David Introduction to graphical modelling Grafentheorie gtt Modèles graphiques (Statistique) Multivariate analyse gtt Statistische modellen gtt Graphical modeling (Statistics) Graphentheorie (DE-588)4113782-6 gnd Graph (DE-588)4021842-9 gnd Graphisches Modell (DE-588)4606156-3 gnd Statistisches Modell (DE-588)4121722-6 gnd Multivariate Analyse (DE-588)4040708-1 gnd |
| subject_GND | (DE-588)4113782-6 (DE-588)4021842-9 (DE-588)4606156-3 (DE-588)4121722-6 (DE-588)4040708-1 |
| title | Introduction to graphical modelling |
| title_auth | Introduction to graphical modelling |
| title_exact_search | Introduction to graphical modelling |
| title_full | Introduction to graphical modelling David Edwards |
| title_fullStr | Introduction to graphical modelling David Edwards |
| title_full_unstemmed | Introduction to graphical modelling David Edwards |
| title_short | Introduction to graphical modelling |
| title_sort | introduction to graphical modelling |
| topic | Grafentheorie gtt Modèles graphiques (Statistique) Multivariate analyse gtt Statistische modellen gtt Graphical modeling (Statistics) Graphentheorie (DE-588)4113782-6 gnd Graph (DE-588)4021842-9 gnd Graphisches Modell (DE-588)4606156-3 gnd Statistisches Modell (DE-588)4121722-6 gnd Multivariate Analyse (DE-588)4040708-1 gnd |
| topic_facet | Grafentheorie Modèles graphiques (Statistique) Multivariate analyse Statistische modellen Graphical modeling (Statistics) Graphentheorie Graph Graphisches Modell Statistisches Modell Multivariate Analyse |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009127667&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT edwardsdavid introductiontographicalmodelling |