Lavallée Indirect Sampling

2007
ISBN: 978-0-387-70782-2
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 256 Seiten

Reihe: Springer Series in Statistics

This book is the reference on indirect sampling and the generalised weight share method. It reviews the different developments done by the author on these subjects. In addition to the underlying theory, the book presents different possible applications that drive its interest. The reader will find in this book the answer to questions that come, inevitably, when working in a context of indirect sampling.

Autoren/Hrsg.

Lavallée, Pierre

Inhaltsverzeichnis

1;FOREWORD;7
2;PREFACE;9
3;TABLE OF CONTENTS;13
4;INTRODUCTION;17
4.1;1.1 REVIEW OF SAMPLING THEORY AND WEIGHTING;17
4.2;1.2 CLUSTER SAMPLING;20
4.3;1.3 INDIRECT SAMPLING;23
4.4;1.4 GENERALISED WEIGHT SHARE METHOD;26
5;DESCRIPTION AND USE OF THE GWSM;28
5.1;2.1 DESCRIPTION;28
5.2;2.2 USE;33
5.2.1;2.2.1 Indirect sampling for rare populations;34
5.2.2;2.2.2 Weighting using only the selection probabilities of the selected units;35
5.2.3;2.2.3 Weighting of populations related by complex links;35
5.2.4;2.2.4 Weighting of unlinked units;36
6;LITERATURE REVIEW;37
6.1;3.1 FIRST STEPS;37
6.2;3.2 FAIR SHARE METHOD;38
6.3;3.3 CONTRIBUTION OF ERNST (1989);42
6.4;3.4 NETWORK SAMPLING;46
6.5;3.5 ADAPTIVE CLUSTER SAMPLING;51
6.6;3.6 SNOWBALL SAMPLING;56
7;PROPERTIES;58
7.1;4.1 BIAS AND VARIANCE;58
7.2;4.2 PARTICULAR CASE 1: CLUSTER SAMPLING;63
7.3;4.3 PARTICULAR CASE 2: CENSUS OF POPULATION UA;66
7.4;4.4 PARTICULAR CASE 3: CENSUS OF POPULATION UB;67
7.5;4.5 USE OF WEIGHTED LINKS;69
7.6;4.6 IMPROVEMENT OF THE ESTIMATOR;72
7.6.1;4.6.1 Conditional approach;72
7.6.2;4.6.2 Use of sufficient statistics;76
7.6.3;4.6.3 Obtaining optimal weighted links;78
8;OTHER GENERALISATIONS;90
8.1;5.1 TWO-STAGE INDIRECT SAMPLING;90
8.2;5.2 ARBITRARY ASPECT IN THE FORMATION OF CLUSTERS;96
8.2.1;5.2.1 Extreme case (i): population UB with a single cluster of size MB;97
8.2.2;5.2.2 Extreme case (ii): population UB with MB clusters of size 1;99
8.2.3;5.2.3 General case and discussion;102
9;APPLICATION IN LONGITUDINAL SURVEYS;117
9.1;6.1 SAMPLING DESIGN OF SLID;118
9.1.1;6.1.1 Initial sample;119
9.1.2;6.1.2 Supplementary sample;121
9.2;6.2 ESTIMATION WEIGHTS;123
9.3;6.3 USE OF THE GWSM IN OBTAINING ESTIMATION WEIGHTS;125
9.4;6.4 VARIANCE ESTIMATION;129
9.5;6.5 USE OF ANOTHER TYPE OF LINKS;130
10;GWSM AND CALIBRATION;133
10.1;7.1 REVIEW OF CALIBRATION;133
10.2;7.2 GWSM WITH CALIBRATION;140
10.3;7.3 PARTICULAR CASE 1: AUXILIARY VARIABLES COMING FROM UA;144
10.4;7.4 PARTICULAR CASE 2: AUXILIARY VARIABLES COMING FROM UB;148
10.4.1;7.4.1 Application of calibration before GWSM;148
10.4.2;7.4.2 Application of calibration after GWSM;150
10.4.3;7.4.3 Comparison of the two approaches;154
10.4.4;7.4.4 Simulation study;157
11;NON · RESPONSE;163
11.1;8.1 TYPES OF NON·RESPONSE;164
11.2;8.2 CORRECTING RESPONSE RATES;167
11.3;8.3 RESPONSE PROBABILITIES;169
11.4;8.4 TREATMENT OF NON-RESPONSE WITHIN SA;172
11.5;8.5 TREATMENT OF CLUSTER NON-RESPONSE;178
11.6;8.6 TREATMENT OF UNIT NON-RESPONSE;186
11.7;8.7 TREATMENT OF ERRORS IN LINKS IDENTIFICATION;195
11.7.1;8.7.1 Record linkage;198
11.7.2;8.7.2 Modelling;199
12;GWSM AND RECORD LINKAGE;206
12.1;9.1 RECORD LINKAGE;207
12.2;9.2 GWSM ASSOCIATED WITH RECORD LINKAGE;210
12.2.1;9.2.1 Approach 1: use all non-zero links with their respective linkage weights;212
12.2.2;9.2.2 Approach 2: use all non- zero links above a given threshold;215
12.2.3;9.2.3 Approach 3: choose the links randomly;217
12.2.4;9.2.4 Some remarks;221
12.3;9.3 SIMULATION STUDY;222
12.3.1;9.3.1 Data used;223
12.3.2;9.3.2 Sampling plan;225
12.3.3;9.3.3 Results and discussion;226
13;CONCLUSION;236
14;NOTATIONS;241
15;BIBLIOGRAPHY;245
16;INDEX;253