Offering a concise account of the most appropriate and efficient procedures for analyzing data from queries dealing with sensitive and confidential issues- including the first book-length treatment of infinite and finite population set-ups - this volume begins with the simplest problems, complete with their properties and solutions, and proceeds to incrementally more difficult topics. Randomized Response is mandatory reading for statisticians and biostatisticians, market researchers, operations researchers, pollsters, sociologists, political scientists, economists and advanced undergraduate and graduate students in these areas.
Autorentext
Arijit Chaudhuri is a Professor serving in the Computer Science Unit of Applied Statitsics Surveys and Computing Division at the Indian Statisitical Institute in Calcutta. Rahul Mukerjee is a faculty member in the Divison of Theoretical Statistics and Mathematics at the Indian Statistical Institure in Calcultta.
Inhalt
Foreword (Pranab Kumar Sen)
Preface
Acknowledgements
Introduction to Randomized Response: The Warner Model
Introduction: Why Randomized Response?
The Warner Model
Exercises
References
Appendix 1: Supplementary Remarks on the Warner Model
A1.1 Randomized Response Versus Direct Response
A1.2 Unbiased Estimation in the Warner Model
A1.3 Maximum Likelihood Estimation with the Warner Model
A1.4 Simple Random Sampling Without Replacement (SRSWOR) and the Warner Model
A1.5 Augmentation Modeling
Exercises
References
The Unrelated-Question Model
Introduction
The Case of Known py.
The Case of the Unknown py
Optimal Choice of Design Parameters
Comparison of the Warner Model and the Unrelated Question Model
Model with Two Unrelated Characters
Implicit Randomization
Exercises
References
Appendix 2: Supplementary Remarks on the Unrelated Question Model
A2.1 Unbiased and Maximum Likelihood Estimation
A2.2 SRSWOR with Simmons' RRT
A2.3 Symmetry of Response
Exercises
References
Polychotomous Population and Multiattribute Situations
Introduction
Some Techniques for a Polychotomous Population
Use of Vector Response
Techniques for Multiattribute Situations
Exercises
References
Appendix 3 Supplementary Remarks on the Polychotomous and Multiattribute Models
A3.1 Augmentation Modeling
A3.2 Two-Stage Schemes
A3.3 Some Remarks
References
Techniques for Quantitative Characters
Introduction
The Unrelated-Question Model
Some Additional Techniques
Estimation of a D