© 2007

Introduction to Variance Estimation


Table of contents

  1. Front Matter
    Pages I-XIV
  2. Kirk M. Wolter
    Pages 1-20
  3. Kirk M. Wolter
    Pages 21-106
  4. Kirk M. Wolter
    Pages 151-193
  5. Kirk M. Wolter
    Pages 194-225
  6. Kirk M. Wolter
    Pages 226-271
  7. Kirk M. Wolter
    Pages 272-297
  8. Kirk M. Wolter
    Pages 298-353
  9. Kirk M. Wolter
    Pages 354-366
  10. Kirk M. Wolter
    Pages 367-368
  11. Kirk M. Wolter
    Pages 369-383
  12. Kirk M. Wolter
    Pages 384-397
  13. Kirk M. Wolter
    Pages 410-415
  14. Back Matter
    Pages 433-448

About this book


We live in the information age. Statistical surveys are used every day to determine or evaluate public policy and to make important business decisions. Correct methods for computing the precision of the survey data and for making inferences to the target population are absolutely essential to sound decision making. Now in its second edition, Introduction to Variance Estimation has for more than twenty years provided the definitive account of the theory and methods for correct precision calculations and inference, including examples of modern, complex surveys in which the methods have been used successfully.

The book provides instruction on the methods that are vital to data-driven decision making in business, government, and academe. It will appeal to survey statisticians and other scientists engaged in the planning and conduct of survey research, and to those analyzing survey data and charged with extracting compelling information from such data. It will appeal to graduate students and university faculty who are focused on the development of new theory and methods and on the evaluation of alternative methods. Software developers concerned with creating the computer tools necessary to enable sound decision-making will find it essential.

Prerequisites include knowledge of the theory and methods of mathematical statistics and graduate coursework in survey statistics. Practical experience with real surveys is a plus and may be traded off against a portion of the requirement for graduate coursework.

This second edition reflects shifts in the theory and practice of sample surveys that have occurred since the content of the first edition solidified in the early 1980’s. Additional replication type methods appeared during this period and have featured prominently journal publications. Reflecting these developments, the second edition now includes a new major chapter on the bootstrap method of variance estimation. This edition also includes extensive new material on Taylor series methods, especially as they apply to newer methods of analysis such as logistic regression or the generalized regression estimator. An introductory section on survey weighting has been added. Sections on Hadamard matrices and computer software have been substantially scaled back. Fresh material on these topics is now readily available on the Internet or from commercial sources.

Kirk Wolter is a Senior Fellow at NORC, Director of the Center for Excellence in Survey Research, and Professor in the Department of Statistics, University of Chicago. He is a Fellow of the American Statistical Association and a Member of the International Statistical Institute. He is a past president of the International Association of Survey Statisticians and a past chair of the Survey Research Methods Section of the American Statistical Association. During the last 35 years, he has participated in the planning, execution, and analysis of large-scale complex surveys and has provided instruction in survey statistics both in America and around the world.


Estimator Evaluation Excel Logistic Regression Statistik mathematical statistics

Authors and affiliations

  1. 1.NORC and University of ChicagoChicagoUSA

Bibliographic information

  • Book Title Introduction to Variance Estimation
  • Authors Kirk Wolter
  • Series Title Statistics for Social and Behavioral Sciences
  • DOI
  • Copyright Information Springer 2007
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Hardcover ISBN 978-0-387-32917-8
  • Softcover ISBN 978-1-4419-2197-0
  • eBook ISBN 978-0-387-35099-8
  • Edition Number 1
  • Number of Pages XIV, 448
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Statistical Theory and Methods
  • Buy this book on publisher's site
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From the reviews:

"The main purpose of this book is to describe a number of techniques for variance estimation that have been suggested in recent years, and to demonstrate how they may be used in the context of modern complex sample surveys. The various techniques to be described are widely scattered through the statistical literature; currently, there is no systematic treatment of this methodology that brings together the state of the art in one manuscript. The book accomplishes this objective." (Dmitry Ostrouchov, Zentralblatt MATH, Vol. 1050, 2005)