Statistical meta-analysis with applications:
"Statistical Meta-Analysis with Applications presents the necessary statistical methodologies that allow readers to tackle the four main stages of meta-analysis: problem formulation, data collection, data evaluation, and data analysis and interpretation. Combining the authors' expertise on...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Hoboken, NJ [u.a.]
Wiley
2008
|
| Schriftenreihe: | Wiley series in probability and statistics
|
| Schlagworte: | |
| Online-Zugang: | Publisher description Inhaltsverzeichnis |
| Zusammenfassung: | "Statistical Meta-Analysis with Applications presents the necessary statistical methodologies that allow readers to tackle the four main stages of meta-analysis: problem formulation, data collection, data evaluation, and data analysis and interpretation. Combining the authors' expertise on the topic with a wealth of up-to-date information, this book successfully introduces the essential statistical practices for making thorough and accurate discoveries across a wide array of diverse fields, such as business, public health, biostatistics, and environmental studies."--BOOK JACKET. |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | XV, 247 S. graph. Darst. |
| ISBN: | 9780470290897 |
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| 245 | 1 | 0 | |a Statistical meta-analysis with applications |c Joachim Hartung ; Guido Knapp ; Bimal K. Sinha |
| 246 | 1 | 3 | |a Statistical meta analysis with applications |
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| 500 | |a Includes bibliographical references and index | ||
| 520 | 1 | |a "Statistical Meta-Analysis with Applications presents the necessary statistical methodologies that allow readers to tackle the four main stages of meta-analysis: problem formulation, data collection, data evaluation, and data analysis and interpretation. Combining the authors' expertise on the topic with a wealth of up-to-date information, this book successfully introduces the essential statistical practices for making thorough and accurate discoveries across a wide array of diverse fields, such as business, public health, biostatistics, and environmental studies."--BOOK JACKET. | |
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| 650 | 4 | |a Meta-analysis | |
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Datensatz im Suchindex
| _version_ | 1804138053758877696 |
|---|---|
| adam_text | CONTENTS
Preface xiii
1 Introduction 1
2 Various Measures of Effect Size 13
2.1 Effect Size Based on Means 13
2.2 Effect Size Based on Proportions 17
2.3 Effect Size Based on ip Coefficient and Odds Ratio 19
2.4 Effect Size Based on Correlation 22
3 Combining Independent Tests 25
3.1 Introduction 25
3.2 Description of Combined Tests 27
4 Methods of Combining Effect Sizes 35
vii
ViH CONTENTS
5 Inference about a Common Mean of Several Univariate Normal
Populations 43
5.1 Results on Common Mean Estimation 45
5.1.1 Small-Sample Comparison of fiGD with Other
Estimators 45
5.1.2 Properties of p,GD 48
5.2 Asymptotic Comparison of Some Estimates of Common Mean
for k = 2 Populations 52
5.3 Confidence Intervals for the Common Mean 54
5.3.1 Approximate Confidence Intervals 55
5.3.2 Exact Confidence Intervals 56
5.4 Applications 59
Appendix: Theory of Fisher s Method 60
6 Tests of Homogeneity in Meta-Analysis 63
6.1 Model and Test Statistics 64
6.2 An Exact Test of Homogeneity 67
6.3 Applications 68
7 One-Way Random Effects Model 73
7.1 Introduction 73
7.2 Homogeneous Error Variances 76
7.2.1 Test for o2a=Q 76
7.2.2 Approximate Tests for H$ : a = 6 0 and
Confidence Intervals for a2a 11
7.2.3 Exact Test and Confidence Interval for a Based on a
Generalized P-value Approach 81
7.2.4 Tests and Confidence Intervals for n 85
7.3 Heterogeneous Error Variances 85
7.3.1 Tests for Ho : a = 0 85
7.3.2 Tests for Ho : o = 5 0 85
7.3.3 Nonnegative Estimation of a and Confidence Intervals 87
7.3.4 Inference about /x 93
CONTENTS iX
8 Combining Controlled Trials with Normal Outcomes 97
8.1 Difference of Means 98
8.1.1 Approximate Confidence Intervals for the Common
Mean Difference 100
8.1.2 Exact Confidence Intervals for the Common Mean
Difference 100
8.1.3 Testing Homogeneity 102
8.1.4 Analysis in the Random Effects Model 103
8.2 Standardized Difference of Means 107
8.3 Ratio of Means 110
9 Combining Controlled Trials with Discrete Outcomes 113
9.1 Binary Data 116
9.1.1 Effect Size Estimates 116
9.1.2 Homogeneity Tests 118
9.1.3 Binomial-Normal Hierarchical Models in Meta-
Analysis 118
9.1.4 An Example for Combining Results from Controlled
Clinical Trials 120
9.1.5 An Example for Combining Results from Observational
Studies 121
9.2 Ordinal Data 122
9.2.1 Proportional Odds Model 123
9.2.2 Agresti sa 124
9.2.3 An Example of Combining Results from Controlled
Clinical Trials 124
10 Meta-Regression 127
10.1 Model with One Covariate 128
10.2 Model with More Than One Covariate 132
10.3 Further Extensions and Applications 136
11 Multivariate Meta-Analysis 139
11.1 Combining Multiple Dependent Variables from a Single Study 141
11.2 Modeling Multivariate Effect Sizes 143
11.2.1 Multiple-Endpoint Studies 144
11.2.2 Multiple-Treatment studies 149
X CONTENTS
12 Bayesian Meta-Analysis 155
12.1 A General Bayesian Model for Meta-Analysis under Normality 156
12.2 Further Examples of Bayesian Analyses 159
12.3 A Unified Bayesian Approach to Meta-Analysis 164
12.4 Further Results on Bayesian Meta-Analysis 167
13 Publication Bias 171
14 Recovery of Interblock Information 179
14.1 Notation and Test Statistics 180
14.2 BIBD with Fixed Treatment Effects 183
14.2.1 Combined Tests When b v 184
14.2.2 Combined Tests When b = v 187
14.2.3 A Numerical Example 188
15 Combination of Polls 191
15.1 Formulation of the Problem 192
15.2 Meta-Analysis of Polls 196
15.2.1 Estimation of 6 196
15.2.2 Confidence Interval for 6 198
15.2.3 Hypothesis Testing for 6 200
16 Vote Counting Procedures 203
17 Computational Aspects 213
17.1 Extracting Summary Statistics 213
17.2 Combining Tests 214
17.3 Generalized P- values 215
17.4 Combining Effect Sizes 217
17.4.1 Graphics 218
17.4.2 Sample Program in R 218
17.4.3 Sample Program in SAS 220
CONTENTS Xi
18 Data Sets 225
18.1 Validity Studies 225
18.2 Effects of Teacher Expectance on Pupil IQ 226
18.3 Dentifrice Data 227
18.4 Effectiveness of Amlodipine on Work Capacity 228
18.5 Effectiveness of Cisapride on the Treatment of Nonulcer
Dyspepsia 229
18.6 Second-hand Smoking 230
18.7 Effectiveness of Misoprostol in Preventing Gastrointestinal
Damage 230
18.8 Prevention of Tuberculosis 230
References 233
Index 245
|
| adam_txt |
CONTENTS
Preface xiii
1 Introduction 1
2 Various Measures of Effect Size 13
2.1 Effect Size Based on Means 13
2.2 Effect Size Based on Proportions 17
2.3 Effect Size Based on ip Coefficient and Odds Ratio 19
2.4 Effect Size Based on Correlation 22
3 Combining Independent Tests 25
3.1 Introduction 25
3.2 Description of Combined Tests 27
4 Methods of Combining Effect Sizes 35
vii
ViH CONTENTS
5 Inference about a Common Mean of Several Univariate Normal
Populations 43
5.1 Results on Common Mean Estimation 45
5.1.1 Small-Sample Comparison of fiGD with Other
Estimators 45
5.1.2 Properties of p,GD 48
5.2 Asymptotic Comparison of Some Estimates of Common Mean
for k = 2 Populations 52
5.3 Confidence Intervals for the Common Mean 54
5.3.1 Approximate Confidence Intervals 55
5.3.2 Exact Confidence Intervals 56
5.4 Applications 59
Appendix: Theory of Fisher's Method 60
6 Tests of Homogeneity in Meta-Analysis 63
6.1 Model and Test Statistics 64
6.2 An Exact Test of Homogeneity 67
6.3 Applications 68
7 One-Way Random Effects Model 73
7.1 Introduction 73
7.2 Homogeneous Error Variances 76
7.2.1 Test for o2a=Q 76
7.2.2 Approximate Tests for H$ : a\ = 6 0 and
Confidence Intervals for a2a 11
7.2.3 Exact Test and Confidence Interval for a\ Based on a
Generalized P-value Approach 81
7.2.4 Tests and Confidence Intervals for n 85
7.3 Heterogeneous Error Variances 85
7.3.1 Tests for Ho : a\ = 0 85
7.3.2 Tests for Ho : o\ = 5 0 85
7.3.3 Nonnegative Estimation of a\ and Confidence Intervals 87
7.3.4 Inference about /x 93
CONTENTS iX
8 Combining Controlled Trials with Normal Outcomes 97
8.1 Difference of Means 98
8.1.1 Approximate Confidence Intervals for the Common
Mean Difference 100
8.1.2 Exact Confidence Intervals for the Common Mean
Difference 100
8.1.3 Testing Homogeneity 102
8.1.4 Analysis in the Random Effects Model 103
8.2 Standardized Difference of Means 107
8.3 Ratio of Means 110
9 Combining Controlled Trials with Discrete Outcomes 113
9.1 Binary Data 116
9.1.1 Effect Size Estimates 116
9.1.2 Homogeneity Tests 118
9.1.3 Binomial-Normal Hierarchical Models in Meta-
Analysis 118
9.1.4 An Example for Combining Results from Controlled
Clinical Trials 120
9.1.5 An Example for Combining Results from Observational
Studies 121
9.2 Ordinal Data 122
9.2.1 Proportional Odds Model 123
9.2.2 Agresti'sa 124
9.2.3 An Example of Combining Results from Controlled
Clinical Trials 124
10 Meta-Regression 127
10.1 Model with One Covariate 128
10.2 Model with More Than One Covariate 132
10.3 Further Extensions and Applications 136
11 Multivariate Meta-Analysis 139
11.1 Combining Multiple Dependent Variables from a Single Study 141
11.2 Modeling Multivariate Effect Sizes 143
11.2.1 Multiple-Endpoint Studies 144
11.2.2 Multiple-Treatment studies 149
X CONTENTS
12 Bayesian Meta-Analysis 155
12.1 A General Bayesian Model for Meta-Analysis under Normality 156
12.2 Further Examples of Bayesian Analyses 159
12.3 A Unified Bayesian Approach to Meta-Analysis 164
12.4 Further Results on Bayesian Meta-Analysis 167
13 Publication Bias 171
14 Recovery of Interblock Information 179
14.1 Notation and Test Statistics 180
14.2 BIBD with Fixed Treatment Effects 183
14.2.1 Combined Tests When b v 184
14.2.2 Combined Tests When b = v 187
14.2.3 A Numerical Example 188
15 Combination of Polls 191
15.1 Formulation of the Problem 192
15.2 Meta-Analysis of Polls 196
15.2.1 Estimation of 6 196
15.2.2 Confidence Interval for 6 198
15.2.3 Hypothesis Testing for 6 200
16 Vote Counting Procedures 203
17 Computational Aspects 213
17.1 Extracting Summary Statistics 213
17.2 Combining Tests 214
17.3 Generalized P- values 215
17.4 Combining Effect Sizes 217
17.4.1 Graphics 218
17.4.2 Sample Program in R 218
17.4.3 Sample Program in SAS 220
CONTENTS Xi
18 Data Sets 225
18.1 Validity Studies 225
18.2 Effects of Teacher Expectance on Pupil IQ 226
18.3 Dentifrice Data 227
18.4 Effectiveness of Amlodipine on Work Capacity 228
18.5 Effectiveness of Cisapride on the Treatment of Nonulcer
Dyspepsia 229
18.6 Second-hand Smoking 230
18.7 Effectiveness of Misoprostol in Preventing Gastrointestinal
Damage 230
18.8 Prevention of Tuberculosis 230
References 233
Index 245 |
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| illustrated | Illustrated |
| index_date | 2024-07-02T22:11:51Z |
| indexdate | 2024-07-09T21:22:05Z |
| institution | BVB |
| isbn | 9780470290897 |
| language | English |
| lccn | 2008009435 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016762925 |
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| spelling | Hartung, Joachim 1948-2014 Verfasser (DE-588)130106410 aut Statistical meta-analysis with applications Joachim Hartung ; Guido Knapp ; Bimal K. Sinha Statistical meta analysis with applications Hoboken, NJ [u.a.] Wiley 2008 XV, 247 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Wiley series in probability and statistics Includes bibliographical references and index "Statistical Meta-Analysis with Applications presents the necessary statistical methodologies that allow readers to tackle the four main stages of meta-analysis: problem formulation, data collection, data evaluation, and data analysis and interpretation. Combining the authors' expertise on the topic with a wealth of up-to-date information, this book successfully introduces the essential statistical practices for making thorough and accurate discoveries across a wide array of diverse fields, such as business, public health, biostatistics, and environmental studies."--BOOK JACKET. Statistical hypothesis testing Meta-analysis Statistische Hypothese (DE-588)4182959-1 gnd rswk-swf Metaanalyse (DE-588)4169552-5 gnd rswk-swf Statistische Hypothese (DE-588)4182959-1 s Metaanalyse (DE-588)4169552-5 s DE-604 Knapp, Guido Verfasser (DE-588)114688788 aut Sinha, Bimal K. Verfasser aut http://www.loc.gov/catdir/enhancements/fy0811/2008009435-d.html Publisher description HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016762925&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hartung, Joachim 1948-2014 Knapp, Guido Sinha, Bimal K. Statistical meta-analysis with applications Statistical hypothesis testing Meta-analysis Statistische Hypothese (DE-588)4182959-1 gnd Metaanalyse (DE-588)4169552-5 gnd |
| subject_GND | (DE-588)4182959-1 (DE-588)4169552-5 |
| title | Statistical meta-analysis with applications |
| title_alt | Statistical meta analysis with applications |
| title_auth | Statistical meta-analysis with applications |
| title_exact_search | Statistical meta-analysis with applications |
| title_exact_search_txtP | Statistical meta-analysis with applications |
| title_full | Statistical meta-analysis with applications Joachim Hartung ; Guido Knapp ; Bimal K. Sinha |
| title_fullStr | Statistical meta-analysis with applications Joachim Hartung ; Guido Knapp ; Bimal K. Sinha |
| title_full_unstemmed | Statistical meta-analysis with applications Joachim Hartung ; Guido Knapp ; Bimal K. Sinha |
| title_short | Statistical meta-analysis with applications |
| title_sort | statistical meta analysis with applications |
| topic | Statistical hypothesis testing Meta-analysis Statistische Hypothese (DE-588)4182959-1 gnd Metaanalyse (DE-588)4169552-5 gnd |
| topic_facet | Statistical hypothesis testing Meta-analysis Statistische Hypothese Metaanalyse |
| url | http://www.loc.gov/catdir/enhancements/fy0811/2008009435-d.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016762925&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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