This book contains 116 exercises of sampling methods solved in detail. The exercises are grouped into chapters and are preceded by a brief theoretical review specifying the notation and the principal results that are useful for understanding the solutions. Some exercises develop the theoretical aspects of surveys, while others deal with more applied problems. Intended for instructors, graduate students and survey practitioners, this book addresses in a lively and progressive way the techniques of sampling, the use of estimators and the methods of appropriate calibration, and the understanding of problems pertaining to non-response. Pascal Ardilly is the Head of the Department of Sampling and Treatment of Statistical Data at the Institut National de la Statistique et des Études Économiques, (INSEE, France). Yves Tillé is a professor at the University of Neuchâtel (Switzerland). Whenweagreedtoshareallofourpreparationofexercisesinsamplingtheory to create a book, we were not aware of the scope of the work. It was indeed necessary to compose the information, type out the compilations, standardise the notations and correct the drafts. It is fortunate that we have not yet measured the importance of this project, for this work probably would never have been attempted! In making available this collection of exercises, we hope to promote the teaching of sampling theory for which we wanted to emphasise its diversity. The exercises are at times purely theoretical while others are originally from real problems, enabling us to approach the sensitive matter of passing from theory to practice that so enriches survey statistics. The exercises that we present were used as educational material at the École Nationale de la Statistique et de l'Analyse de l'Information (ENSAI), where we had successively taught sampling theory. We are not the authors of all the exercises. In fact, some of them are due to Jean-Claude Deville and Laurent Wilms. We thank them for allowing us to reproduce their exercises. It is also possible that certain exercises had been initially conceived by an author that we have not identi?ed. Beyondthe contribution of our colleagues, and in all cases, we do not consider ourselves to be the lone authors of these exercises:they actually form part of a common heritagefrom ENSAI that has been enriched and improved due to questions from students and the work of all the demonstrators of the sampling course at ENSAI. Preface......Page 5 Contents......Page 7 1.1 References......Page 13 1.3 Sample and sampling design......Page 14 1.4 Horvitz-Thompson estimator......Page 15 2.1 Simple random sampling without replacement......Page 17 2.2 Simple random sampling with replacement......Page 18 EXERCISES......Page 19 3.2 Estimation and variance......Page 71 EXERCISES......Page 72 4.2 Estimation and variance......Page 133 EXERCISES......Page 135 5.2 Estimator, variance decomposition, and variance......Page 171 5.4 Cluster e.ect......Page 173 EXERCISES......Page 174 6.1 Calibration with a qualitative variable......Page 221 6.2 Calibration with a quantitative variable......Page 222 EXERCISES......Page 224 7.1 Calibration estimation......Page 275 7.3 Marginal calibration......Page 276 EXERCISES......Page 277 8.1 Principal techniques of variance estimation......Page 305 8.2 Method of estimator linearisation......Page 306 EXERCISES......Page 307 9.1 Reweighting methods......Page 331 EXERCISES......Page 332 Table of Notations......Page 373 Normal Distribution Tables......Page 377 List of Tables......Page 381 List of Figures......Page 383 References......Page 385 Author Index......Page 389 Index......Page 391
This book contains 116 exercises of sampling methods solved in detail. The exercises are grouped into chapters and are preceded by a brief theoretical review specifying the notation and the principal results that are useful for understanding the solutions. Some exercises develop the theoretical aspects of surveys, while others deal with more applied problems.
Intended for instructors, graduate students and survey practitioners, this book addresses in a lively and progressive way the techniques of sampling, the use of estimators and the methods of appropriate calibration, and the understanding of problems pertaining to non-response.
"This book contains 116 exercises of sampling methods solved in detail. The exercises are grouped into chapters and are preceded by a brief theoretical review specifying the notation and the principal results that are useful for understanding the solutions. Some exercises develop the theoretical aspects of surveys, while others deal with more applied problems."--Jacket
