Robust mixed model analysis:
Saved in:
| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
New Jersey
World Scientific
2019
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | xii, 256 Seiten Illustrationen, Diagramme |
| ISBN: | 9789814733830 |
Staff View
MARC
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Contents Preface 1. 2. vii Introduction 1 1.1 1.2 1.3 1.4 1 3 4 5 Illustrative example. Outline of approaches to robust mixed model analysis . . A roadmap . Exercises. Generalized Estimating Equations 2.1 2.2 2.3 2.4 2.5 2.6 2.7 Method of moments . Generalized estimating equations(GEE). Iterative estimating equations. Robust estimation in GLMM. Robust GEE. Real-data examples. 2.6.1 Hip replacement data revisited. 2.6.2 Salamander-mating data. 2.6.3 Epileptic seizure data. Exercises. 3. Non-Gaussian Linear Mixed Models 3.1 3.2 3.3 Types of models. Quasi-likelihood method. Measure of uncertainty. 3.3.1 Empirical method of moments. 3.3.2 Partially observed
information. ix 7 7 14 21 28 34 38 38 39 42 44 47 47 49 52 53 56
x Robust Mixed Model Analysis 3.4 3.5 4. Robust Tests 4.1 4.2 4.3 4.4 4.5 4.6 5. 3.3.3 Hypothesis testing: A simulated example. 3.3.4 Consistency of POI. Real-data example. Exercises. 61 64 65 66 69 Robust dispersion tests. 69 Robust versions of classical tests . 72 4.2.1 Basic idea, assumptions, and examples . 73 4.2.2 The W-, S-, and L-test statistics. 76 4.2.3 Asymptotic theory. 78 Robust classical tests for mixedANOVA model. 82 A unified robust goodness-of-fittest . 85 4.4.1 Tailoring. 87 4.4.2 Application to SAE. 90 4.4.3 Empirical results. 95 Real-data examples. 98 4.5.1 TVSFP data. 98 4.5.2 Median income data. 100 Exercises. 101 Observed Best Prediction 103 5.1 5.2 5.3 5.4 103 104 108 109 110 110 113 113 115 117 119 121 121 5.5 5.6 5.7
Best linear unbiased prediction. Observed best prediction: Anotherlook at the BLUP . . . Example. OBP for two classes of SAE models. 5.4.1 Fay-Herriot model. 5.4.2 Nested-error regression model . OBP for small area counts. 5.5.1 Best prediction under a two-stage model. 5.5.2 Derivation of OBP. 5.5.3 Extensions. Asymptotic property of BPE . Examples with simulations. 5.7.1 A simple example. 5.7.2 Cases when the assumed model is correct, or partially correct. 5.7.3 Comparison of OBP and EBP under an LN model 123 127
Contents 6. 5.8 5.9 Estimation of area-specific MSPE. Real-data examples. 5.9.1 Hospital data. 5.9.2 TVSFP data revisited. 5.9.3 Minnesota county data. 5.10 Exercises. 129 136 136 140 143 147 Model Selection 149 6.1 150 151 154 159 164 166 169 171 174 175 182 183 184 185 190 6.2 6.3 6.4 7. xi Generalized information criteria. 6.1.1 Selecting the fixed covariates only. 6.1.2 Selecting fixed covariates and random effect factors 6.1.3 A robust approximation to BIC . 6.1.4 A robust conditional AIC for LMM. The fence methods. 6.2.1 Adaptive fence. 6.2.2 Invisible fence. 6.2.3 Model selection with incomplete data. 6.2.4 Examples. Shrinkage mixed model selection . 6.3.1 An E-M based approach. 6.3.2 Predictive shrinkage selection. 6.3.3 Real-data example: Analysis of high-speed network
Exercises. Other Topics 7.1 7.2 7.3 7.4 193 Mixed model diagnostics. 193 Nonparametric/semiparametric methods . 196 7.2.1 A P-spline nonparametric model. 196 7.2.2 Nonparametric model selection. 197 7.2.3 Examples. 199 7.2.4 Functional and semiparametric mixed models . . . 204 7.2.5 Nonparametric bootstrapping. 208 Bayesian analysis. 210 7.3.1 A robust hierarchical Bayes method.210 7.3.2 Real-data example: Iowacrops data. 211 7.3.3 Bayesian empirical likelihood. 213 7.3.4 Bayesian model diagnostics. 214 More about outliers. . . 215
Robust Mixed Model Analysis xii 7.5 7.6 7.7 Benchmarking. 217 More about prediction. 221 7.6.1 Prediction of futureobservation. 221 7.6.2 Classified mixed model prediction. 227 Exercises. 240 Bibliography 243 Index 253 |
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| illustrated | Illustrated |
| indexdate | 2024-12-06T09:04:06Z |
| institution | BVB |
| isbn | 9789814733830 |
| language | English |
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| owner | DE-703 DE-739 |
| owner_facet | DE-703 DE-739 |
| physical | xii, 256 Seiten Illustrationen, Diagramme |
| publishDate | 2019 |
| publishDateSearch | 2019 |
| publishDateSort | 2019 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Jiang, Jiming Verfasser (DE-588)131582119 aut Robust mixed model analysis Jiming Jiang New Jersey World Scientific 2019 xii, 256 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Robuste Statistik (DE-588)4451047-0 gnd rswk-swf Lineares Modell (DE-588)4134827-8 gnd rswk-swf Gemischtes Modell (DE-588)4156565-4 gnd rswk-swf Statistisches Modell (DE-588)4121722-6 gnd rswk-swf Gemischtes Modell (DE-588)4156565-4 s Lineares Modell (DE-588)4134827-8 s Robuste Statistik (DE-588)4451047-0 s Statistisches Modell (DE-588)4121722-6 s DE-604 Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030687739&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jiang, Jiming Robust mixed model analysis Robuste Statistik (DE-588)4451047-0 gnd Lineares Modell (DE-588)4134827-8 gnd Gemischtes Modell (DE-588)4156565-4 gnd Statistisches Modell (DE-588)4121722-6 gnd |
| subject_GND | (DE-588)4451047-0 (DE-588)4134827-8 (DE-588)4156565-4 (DE-588)4121722-6 |
| title | Robust mixed model analysis |
| title_auth | Robust mixed model analysis |
| title_exact_search | Robust mixed model analysis |
| title_full | Robust mixed model analysis Jiming Jiang |
| title_fullStr | Robust mixed model analysis Jiming Jiang |
| title_full_unstemmed | Robust mixed model analysis Jiming Jiang |
| title_short | Robust mixed model analysis |
| title_sort | robust mixed model analysis |
| topic | Robuste Statistik (DE-588)4451047-0 gnd Lineares Modell (DE-588)4134827-8 gnd Gemischtes Modell (DE-588)4156565-4 gnd Statistisches Modell (DE-588)4121722-6 gnd |
| topic_facet | Robuste Statistik Lineares Modell Gemischtes Modell Statistisches Modell |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030687739&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT jiangjiming robustmixedmodelanalysis |