Simultaneous statistical inference: with applications in the life sciences
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Heidelberg [u.a.]
Springer
2014
|
| Schlagwörter: | |
| Links: | http://deposit.dnb.de/cgi-bin/dokserv?id=4498148&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027079451&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | XIV, 180 S. graph. Darst. |
| ISBN: | 9783642451812 |
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Datensatz im Suchindex
| _version_ | 1819329448850227200 |
|---|---|
| adam_text | CONTENTS
1 THE PROBLEM OF SIMULTANEOUS INFERENCE 1
1.1 SOURCES OF MULTIPLICITY 3
1.2 MULTIPLE HYPOTHESES TESTING 4
1.2.1 MEASURING AND CONTROLLING ERRORS 4
1.2.2 STRUCTURED SYSTEMS OF HYPOTHESES 8
1.3 RELATIONSHIPS TO OTHER SIMULTANEOUS STATISTICAL
INFERENCE PROBLEMS 9
1.4 CONTRIBUTIONS OF THIS WORK 11
REFERENCES 12
PART I GENERAL THEORY
2 SOME THEORY OF P-VALUES 17
2.1 RANDOMIZED P-VALUES 20
2.1.1 RANDOMIZED P-VALUES IN DISCRETE MODELS 20
2.1.2 RANDOMIZED /^-VALUES FOR TESTING COMPOSITE
NULL HYPOTHESES 21
2.2 P-VALUE MODELS 22
2.2.1 THE IID.-UNIFORM MODEL 22
2.2.2 DIRAC-UNIFORM CONFIGURATIONS 24
2.2.3 TWO-CLASS MIXTURE MODELS 25
2.2.4 COPULA MODELS UNDER FIXED MARGINS 26
2.2.5 FURTHER JOINT MODELS 26
REFERENCES 27
3 CLASSES OF MULTIPLE TEST PROCEDURES 29
3.1 MARGIN-BASED MULTIPLE TEST PROCEDURES 30
3.1.1 SINGLE-STEP PROCEDURES 30
3.1.2 STEPWISE REJECTIVE MULTIPLE TESTS 32
3.1.3 DATA-ADAPTIVE PROCEDURES 35
3.2 MULTIVARIATE MULTIPLE TEST PROCEDURES 37
3.2.1 RESAMPLING-BASED METHODS 37
3.2.2 METHODS BASED ON CENTRAL LIMIT THEOREMS 38
HTTP://D-NB.INFO/1043933417
X CONTENTS
3.2.3 COPULA-BASED METHODS 38
3.3 CLOSED TEST PROCEDURES 40
REFERENCES 43
4 SIMULTANEOUS TEST PROCEDURES 47
4.1 THREE IMPORTANT FAMILIES OF MULTIVARIATE
PROBABILITY DISTRIBUTIONS 50
4.1.1 MULTIVARIATE NORMAL DISTRIBUTIONS 50
4.1.2 MULTIVARIATE F-DISTRIBUTIONS 51
4.1.3 MULTIVARIATE CHI-SQUARE DISTRIBUTIONS 51
4.2 PROJECTION METHODS UNDER ASYMPTOTIC NORMALITY 52
4.3 PROBABILITY BOUNDS AND EFFECTIVE NUMBERS OF TESTS 56
4.3.1 SUM-TYPE PROBABILITY BOUNDS 57
4.3.2 PRODUCT-TYPE PROBABILITY BOUNDS 58
4.3.3 EFFECTIVE NUMBERS OF TESTS 61
4.4 SIMULTANEOUS TEST PROCEDURES IN TERMS
OF P-VALUE COPULAE 62
4.5 EXPLOITING THE TOPOLOGICAL STRUCTURE OF THE SAMPLE
SPACE VIA RANDOM FIELD THEORY 65
REFERENCES 68
5 STEPWISE REJECTIVE MULTIPLE TESTS 71
5.1 SOME CONCEPTS OF DEPENDENCY 72
5.2 FWER-CONTROLLING STEP-DOWN TESTS 74
5.3 FWER-CONTROLLING STEP-UP TESTS 76
5.4 FDR-CONTROLLING STEP-UP TESTS 80
5.5 FDR-CONTROLLING STEP-UP-DOWN TESTS 82
REFERENCES 89
6 MULTIPLE TESTING AND BINARY CLASSIFICATION 91
6.1 BINARY CLASSIFICATION UNDER SPARSITY 93
6.2 BINARY CLASSIFICATION IN NON-SPARSE MODELS 96
6.3 FEATURE SELECTION FOR BINARY CLASSIFICATION
VIA HIGHER CRITICISM 99
REFERENCES 101
7 MULTIPLE TESTING AND MODEL SELECTION 103
7.1 MULTIPLE TESTING FOR MODEL SELECTION 104
7.2 MULTIPLE TESTING AND INFORMATION CRITERIA 106
7.3 MULTIPLE TESTING AFTER MODEL SELECTION 108
7.3.1 DISTRIBUTIONS OF REGULARIZED ESTIMATORS 108
7.3.2 TWO-STAGE PROCEDURES ILL
7.4 SELECTIVE INFERENCE 112
REFERENCES 114
CONTENTS
X1
8 SOFTWARE SOLUTIONS FOR MULTIPLE HYPOTHESES TESTING 117
8.1 THE
R
PACKAGE MULTCOMP 118
8.2 THE
R
PACKAGE MULTTEST 118
8.3 THE
R
-BASED /(TOSS SOFTWARE 119
8.3.1 THE /(TOSS SIMULATION TOOL 120
8.3.2 THE /(TOSS GRAPHICAL USER INTERFACE 122
REFERENCES 124
PART II FROM GENOTYPE TO PHENOTYPE
9 GENETIC ASSOCIATION STUDIES 129
9.1 STATISTICAL MODELING AND TEST STATISTICS 130
9.2 ESTIMATION OF THE PROPORTION OF INFORMATIVE LOCI 133
9.3 EFFECTIVE NUMBERS OF TESTS VIA LINKAGE DISEQUILIBRIUM 134
9.4 COMBINING EFFECTIVE NUMBERS OF TESTS
AND PRE-ESTIMATION OF 7IO 137
9.5 APPLICABILITY OF MARGIN-BASED METHODS 138
REFERENCES 139
10 GENE EXPRESSION ANALYSES 141
10.1 MARGINAL MODELS AND
P-
VALUES 141
10.2 DEPENDENCY CONSIDERATIONS 143
10.3 REAL DATA EXAMPLES 146
10.3.1 APPLICATION OF GENERIC MULTIPLE TESTS
TO LARGE-SCALE DATA 146
10.3.2 COPULA CALIBRATION FOR A BLOCK
OF CORRELATED GENES 147
10.4 LASSO AND STATISTICAL LEARNING METHODS 149
10.5 GENE SET ANALYSES AND GROUP STRUCTURES 150
REFERENCES 151
11 FUNCTIONAL MAGNETIC RESONANCE IMAGING 155
11.1 SPATIAL MODELING 156
11.2 FALSE DISCOVERY RATE CONTROL FOR GROUPED HYPOTHESES 157
11.2.1 CLUSTERS OF VOXELS 157
11.2.2 MULTIPLE ENDPOINTS PER LOCATION 159
11.3 EXPLOITING TOPOLOGICAL STRUCTURE BY RANDOM FIELD THEORY . . . 160
11.4 SPATIO-TEMPORAL MODELS VIA MULTIVARIATE TIME SERIES 161
11.4.1 WHICH OF THE SPECIFIC FACTORS HAVE
A NON-TRIVIAL AUTOCORRELATION STRUCTURE? 164
11.4.2 WHICH OF THE COMMON FACTORS HAVE A LAGGED
INFLUENCE ON WHICH
XP.
165
REFERENCES 165
XII CONTENTS
PART III FURTHER APPLICATIONS IN THE LIFE SCIENCES
12 FURTHER LIFE SCIENCE APPLICATIONS 169
12.1 BRAIN-COMPUTER INTERFACING 169
12.2 GEL ELECTROPHORESIS-BASED PROTEOME ANALYSIS 172
REFERENCES 174
INDEX 177
|
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| id | DE-604.BV041638607 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T16:51:11Z |
| institution | BVB |
| isbn | 9783642451812 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027079451 |
| oclc_num | 864657995 |
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| owner_facet | DE-11 DE-19 DE-BY-UBM DE-20 |
| physical | XIV, 180 S. graph. Darst. |
| publishDate | 2014 |
| publishDateSearch | 2014 |
| publishDateSort | 2014 |
| publisher | Springer |
| record_format | marc |
| spellingShingle | Dickhaus, Thorsten-Ingo Simultaneous statistical inference with applications in the life sciences Data Mining (DE-588)4428654-5 gnd Fehleranalyse (DE-588)4016608-9 gnd Simultane Inferenz (DE-588)1053480296 gnd Biowissenschaften (DE-588)4129772-6 gnd |
| subject_GND | (DE-588)4428654-5 (DE-588)4016608-9 (DE-588)1053480296 (DE-588)4129772-6 |
| title | Simultaneous statistical inference with applications in the life sciences |
| title_auth | Simultaneous statistical inference with applications in the life sciences |
| title_exact_search | Simultaneous statistical inference with applications in the life sciences |
| title_full | Simultaneous statistical inference with applications in the life sciences Thorsten Dickhaus |
| title_fullStr | Simultaneous statistical inference with applications in the life sciences Thorsten Dickhaus |
| title_full_unstemmed | Simultaneous statistical inference with applications in the life sciences Thorsten Dickhaus |
| title_short | Simultaneous statistical inference |
| title_sort | simultaneous statistical inference with applications in the life sciences |
| title_sub | with applications in the life sciences |
| topic | Data Mining (DE-588)4428654-5 gnd Fehleranalyse (DE-588)4016608-9 gnd Simultane Inferenz (DE-588)1053480296 gnd Biowissenschaften (DE-588)4129772-6 gnd |
| topic_facet | Data Mining Fehleranalyse Simultane Inferenz Biowissenschaften |
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