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Large-scale inference: empirical Bayes methods for estimation, testing, and prediction

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Bibliographic Details
Main Author:	Efron, Bradley 1938- (Author)
Format:	Book
Language:	English
Published:	Cambridge [u.a.] Cambridge Univ. Press 2013
Edition:	1. paperback ed.
Series:	Institute of Mathematical Statistics monographs 1
Subjects:	Bayes-Entscheidungstheorie Schätztheorie Statistischer Test Statistische Schlussweise
Links:	http://digitool.hbz-nrw.de:1801/webclient/DeliveryManager?pid=3924165&custom%5Fatt%5F2=simple%5Fviewer http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021194372&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Physical Description:	XII, 263 S. graph. Darst.
ISBN:	9780521192491 0521192498 9781107619678

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Record in the Search Index

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adam_text	Titel: Large scale inference Autor: Efron, Bradley Jahr: 2010 Contents Prologue ix Acknowledgments xii 1 Empirical Bayes and the James-Stein Estimator 1 1.1 Bayes Rule and Multivariate Normal Estimation 2 1.2 Empirical Bayes Estimation 4 1.3 Estimating the Individual Components 7 1.4 Learning from the Experience of Others 10 1.5 Empirical Bayes Confidence Intervals 12 Notes 14 2 Large-Scale Hypothesis Testing 15 2.1 A Microarray Example 15 2.2 Bayesian Approach 17 2.3 Empirical Bayes Estimates 20 2.4 Fdr(Z) as a Point Estimate 22 2.5 Independence versus Correlation 26 2.6 Learning from the Experience of Others II 27 Notes 28 3 Significance Testing Algorithms 30 3.1 p-Values and z-Values 31 3.2 Adjusted p-Values and the FWER 34 3.3 Stepwise Algorithms 37 3.4 Permutation Algorithms 39 3.5 Other Control Criteria 43 Notes 45 4 False Discovery Rate Control 46 4.1 True and False Discoveries 46 4.2 Benjamini and Hochberg s FDR Control Algorithm 48 4.3 Empirical Bayes Interpretation 52 Contents 4.4 Is FDR Control Hypothesis Testing ? 58 4.5 Variations on the Benjamini-Hochberg Algorithm 59 4.6 Fdr and Simultaneous Tests of Correlation 64 Notes 69 5 Local False Discovery Rates 70 5.1 Estimating the Local False Discovery Rate 70 5.2 Poisson Regression Estimates for f(z) 74 5.3 Inference and Local False Discovery Rates 77 5.4 Power Diagnostics 83 Notes 88 6 Theoretical, Permutation, and Empirical Null Distributions 89 6.1 Four Examples 90 6.2 Empirical Null Estimation 97 6.3 The MLE Method for Empirical Null Estimation 102 6.4 Why the Theoretical Null May Fail 105 6.5 Permutation Null Distributions 109 Notes 112 7 Estimation Accuracy 113 7.1 Exact Covariance Formulas 115 7.2 Rms Approximations 121 7.3 Accuracy Calculations for General Statistics 126 7.4 The Non-Null Distribution of z-Values 132 7.5 Bootstrap Methods 138 Notes 139 8 Correlation Questions 141 8.1 Row and Column Correlations 141 8.2 Estimating the Root Mean Square Correlation 145 8.3 Are a Set of Microarrays Independent of Each Other? 149 8.4 Multivariate Normal Calculations 153 8.5 Count Correlations 159 Notes 162 9 Sets of Cases (Enrichment) 163 9.1 Randomization and Permutation 164 9.2 Efficient Choice of a Scoring Function 170 9.3 A Correlation Model 174 9.4 Local Averaging 181 Notes 184 Contents vii 10 Combination, Relevance, and Comparability 185 10.1 The Multi-Class Model 187 10.2 Small Subclasses and Enrichment 192 10.3 Relevance 196 10.4 Are Separate Analyses Legitimate? 199 10.5 Comparability 206 Notes 209 11 Prediction and Effect Size Estimation 211 11.1 A Simple Model 213 11.2 Bayes and Empirical Bayes Prediction Rules 217 11.3 Prediction and Local False Discovery Rates 223 11.4 Effect Size Estimation 227 11.5 The Missing Species Problem 233 Notes 240 Appendix A Exponential Families 243 A. 1 Multiparameter Exponential Families 245 A.2 Lindsey s Method 247 Appendix B Data Sets and Programs 249 References 251 Index 258
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spellingShingle	Efron, Bradley 1938- Large-scale inference empirical Bayes methods for estimation, testing, and prediction Institute of Mathematical Statistics monographs Bayes-Entscheidungstheorie (DE-588)4144220-9 gnd Schätztheorie (DE-588)4121608-8 gnd Statistischer Test (DE-588)4077852-6 gnd Statistische Schlussweise (DE-588)4182963-3 gnd
subject_GND	(DE-588)4144220-9 (DE-588)4121608-8 (DE-588)4077852-6 (DE-588)4182963-3
title	Large-scale inference empirical Bayes methods for estimation, testing, and prediction
title_alt	large scale
title_auth	Large-scale inference empirical Bayes methods for estimation, testing, and prediction
title_exact_search	Large-scale inference empirical Bayes methods for estimation, testing, and prediction
title_full	Large-scale inference empirical Bayes methods for estimation, testing, and prediction Bradley Efron
title_fullStr	Large-scale inference empirical Bayes methods for estimation, testing, and prediction Bradley Efron
title_full_unstemmed	Large-scale inference empirical Bayes methods for estimation, testing, and prediction Bradley Efron
title_short	Large-scale inference
title_sort	large scale inference empirical bayes methods for estimation testing and prediction
title_sub	empirical Bayes methods for estimation, testing, and prediction
topic	Bayes-Entscheidungstheorie (DE-588)4144220-9 gnd Schätztheorie (DE-588)4121608-8 gnd Statistischer Test (DE-588)4077852-6 gnd Statistische Schlussweise (DE-588)4182963-3 gnd
topic_facet	Bayes-Entscheidungstheorie Schätztheorie Statistischer Test Statistische Schlussweise
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volume_link	(DE-604)BV037337077
work_keys_str_mv	AT efronbradley largescaleinferenceempiricalbayesmethodsforestimationtestingandprediction AT efronbradley largescale

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