Survey sampling: theory and methods
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York u.a.
Dekker
1992
|
| Series: | Statistics
130 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVIII, 349 S. |
| ISBN: | 0824786890 |
Staff View
MARC
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| 100 | 1 | |a Chaudhuri, Arijit |d 1940- |e Verfasser |0 (DE-588)170310973 |4 aut | |
| 245 | 1 | 0 | |a Survey sampling |b theory and methods |c Arijit Chaudhuri ; Horst Stenger |
| 264 | 1 | |a New York u.a. |b Dekker |c 1992 | |
| 300 | |a XVIII, 349 S. | ||
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Record in the Search Index
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Contents
Foreword v
Preface vii
Chapter 1 1
Estimation in finite populations: a unified theory
1.1. Introduction 1
1.1.1. Elementary definitions 1
1.1.2. Design—based inference 5
1.1.3. Sampling scheme 7
1.1.4. Controlled sampling 9
1.2. Choosing good sampling strategies: 11
Fixed population approach
1.2.1. Non existence results 11
1.2.2. Rao Blackwellization 14
1.2.3. Admissibility 19
1.2.4. Minimaxity 23
1.3. Choosing good sampling strategies: 29
Superpopulation approach
1.3.1. The model M1 29
1.3.2. The models J^, M2 32
1.3.3. The equi—correlation model 35
1.3.4. Further model—based optimality results 38
and robustness
1.4. Choosing good sampling strategies: 43
Estimating equation approach
1.4.1. Estimating functions and equations 43
1.4.2. Application to survey sampling 48
1.5. General remarks 54
xiii
xiv Contents
Chapter 2 55
A few sampling strategies
2.1. Representative strategies 55
2.2. A general method of estimation for M (t) 57
2.3. Estimation of M (t) for specific strategies 58
2.3.1. The ratio estimator tj 58
2.3.2. Hansen Hurwitz estimator t« 60
2.3.3. RHC estimator tg 61
2.3.4. HT estimator t4 63
2.3.5. Murthy's estimator tg 64
2.3.6. Raj's estimator tg 66
2.3.7. Hartley Ross estimator 70
2.4. A comparison of RHCE and 71
HTE under model M
Chapter 3 74
Predictors
3.1. Model dependent estimation 74
3.1.1. BLU predictors 74
3.1.2. Purposive selection 78
3.1.3. Balancing and robustness 82
3.1.4. Characterization of best predictors 88
under superpopulation modelling and
robustness against model failures
3.2. Bayes and empirical Bayes estimators, 89
James Stein estimators
3.2.1. Bayes estimation 89
3.2.2. James—Stein and empirical Bayes estimators 91
3.2.3. Applications to sampling of similar groups 92
3.2.4. Applications to multi stage sampling 95
Contents xv
Chapter 4 100
Asymptotic approaches
4.1. Strategies with good model and 100
design properties
4.1.1. Linear models in matrix notation 100
4.1.2. A general class of predictors: QR predictors 102
4.1.3. Asymptotic design unbiasedness and consistency 105
4.1.4. Some general results on QR predictors 111
4.1.5. Bestness under a model 113
4.1.6. Concluding remarks 117
4.2. Asymptotic minimaxity 118
4.2.1. Asymptotic approximation of the minimax value 119
4.2.2. Asymptotically minimax strategies 124
4.3. More general asymptotic approaches 126
Chapter 5 128
Design— and model—based variance estimation
5.1. Ratio estimator 130
5.1.1. Ratio and regression adjusted estimators 131
5.1.2. Model derived and Jackknife estimators 135
5.1.3. Global empirical studies 140
5.1.4. Conditional empirical studies 141
5.2. Regression estimator 144
5.2.1. Design—based variance estimation 144
5.2.2. Model—based variance estimation 145
5.2.3. Empirical studies 149
5.3. HT estimator 152
5.4. GREG predictor 155
5.5. Systematic sampling 157
xvi Contents
Chapter 6 163
Multi stage, multi phase and repetitive sampling
6.1. Variance estimators due to Raj and Rao in multi— 163
stage sampling: more recent developments
6.1.1. Unbiased estimation of Y 164
6.1.2. PPSWR sampling of first stage units 167
6.1.3. Sub—sampling of second stage units to 170
simplify variance estimation
6.1.4. Estimation of Y 172
6.2. Double sampling with equal and varying probabilities: 178
design—unbiased and regression estimators
6.3. Sampling on successive occasions with varying 183
probabilities
Chapter 7 187
Re—sampling and variance estimation in complex surveys
7.1. Linearization 187
7.2 Jackknife 192
7.3. Inter penetrating network of sub sampling 195
and replicated sampling
7.4. Balanced repeated replication 197
7.5. Bootstrap 201
Chapter 8 205
Sampling from inadequate frames
8.1. Domain estimation 206
8.2. Post stratification 209
8.3. Estimation from multiple frames 210
8.4. Small area estimation 213
8.4.1. Small domains and post—stratification 213
Contents xvii
8.4.2. Synthetic estimators 216
8.4.3. Model—based estimation 219
8.5. Conditional inference 220
Chapter 9 224
Analytic studies of survey data
9.1. Design effects on categorical data analysis 226
9.1.1. Goodness of fit, conservative design based tests 226
9.1.2. Goodness of fit, approximative design based tests 232
9.1.3. Goodness of fit tests, based on superpopulation 235
models
9.1.4. Tests of independence 237
9.1.5. Tests of homogeneity 239
9.2. Regression analysis from complex survey data 242
9.2.1. Design—based regression analysis 242
9.2.2. Model— and design—based regression analysis 244
9.2.3. Model—based regression analysis 248
9.2.4. Design variables 251
9.2.5. Varying regression coefficients for clusters 254
Chapter 10 257
Randomized response
10.1. SRSWR for qualitative and quantitative data 257
10.1.1. The Warner model 257
10.1.2. The unrelated question model 260
10.1.3. Polychotomous populations 262
10.1.4. Quantitative characters 264
10.2. A general approach 266
10.2.1. Linear unbiased estimators 266
10.2.2. A few specific strategies 270
10.2.3. Use of superpopulations 273
xvjjj Contents
Chapter 11 277
Incomplete data
11.1. Non—sampling errors 277
11.2. Non—response 279
11.3. Call backs 283
11.4. Weight adjustments 286
11.5. Use of superpopulation models 290
11.6. Network sampling 293
11.7. Imputation 296
Chapter 12 302
An epilogue
Abbreviations used in the references 309
References 311
List of abbreviations, special notations and 333
symbols
Author index 337
Subject index 343 |
| any_adam_object | 1 |
| author | Chaudhuri, Arijit 1940- Stenger, Horst 1935-2017 |
| author_GND | (DE-588)170310973 (DE-588)170099326 |
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| dewey-full | 519.5/2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.5/2 |
| dewey-search | 519.5/2 |
| dewey-sort | 3519.5 12 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
| format | Book |
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| id | DE-604.BV005590184 |
| illustrated | Not Illustrated |
| indexdate | 2024-10-10T22:00:08Z |
| institution | BVB |
| isbn | 0824786890 |
| language | English |
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| physical | XVIII, 349 S. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Dekker |
| record_format | marc |
| series | Statistics |
| series2 | Statistics |
| spelling | Chaudhuri, Arijit 1940- Verfasser (DE-588)170310973 aut Survey sampling theory and methods Arijit Chaudhuri ; Horst Stenger New York u.a. Dekker 1992 XVIII, 349 S. txt rdacontent n rdamedia nc rdacarrier Statistics 130 Steekproeven gtt Sampling (Statistics) Datenerhebung (DE-588)4155272-6 gnd rswk-swf Umfrage (DE-588)4005227-8 gnd rswk-swf Stichprobe (DE-588)4057502-0 gnd rswk-swf Umfrage (DE-588)4005227-8 s Stichprobe (DE-588)4057502-0 s DE-604 Datenerhebung (DE-588)4155272-6 s 1\p DE-604 Stenger, Horst 1935-2017 Verfasser (DE-588)170099326 aut Statistics 130 (DE-604)BV000003265 130 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003501589&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Chaudhuri, Arijit 1940- Stenger, Horst 1935-2017 Survey sampling theory and methods Statistics Steekproeven gtt Sampling (Statistics) Datenerhebung (DE-588)4155272-6 gnd Umfrage (DE-588)4005227-8 gnd Stichprobe (DE-588)4057502-0 gnd |
| subject_GND | (DE-588)4155272-6 (DE-588)4005227-8 (DE-588)4057502-0 |
| title | Survey sampling theory and methods |
| title_auth | Survey sampling theory and methods |
| title_exact_search | Survey sampling theory and methods |
| title_full | Survey sampling theory and methods Arijit Chaudhuri ; Horst Stenger |
| title_fullStr | Survey sampling theory and methods Arijit Chaudhuri ; Horst Stenger |
| title_full_unstemmed | Survey sampling theory and methods Arijit Chaudhuri ; Horst Stenger |
| title_short | Survey sampling |
| title_sort | survey sampling theory and methods |
| title_sub | theory and methods |
| topic | Steekproeven gtt Sampling (Statistics) Datenerhebung (DE-588)4155272-6 gnd Umfrage (DE-588)4005227-8 gnd Stichprobe (DE-588)4057502-0 gnd |
| topic_facet | Steekproeven Sampling (Statistics) Datenerhebung Umfrage Stichprobe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003501589&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003265 |
| work_keys_str_mv | AT chaudhuriarijit surveysamplingtheoryandmethods AT stengerhorst surveysamplingtheoryandmethods |