Sample Survey Theory

Some Pythagorean Perspectives

  • Paul Knottnerus

Part of the Springer Series in Statistics book series (SSS)

Table of contents

  1. Front Matter
    Pages i-xix
  2. Introduction and Outline of the Book

    1. Paul Knottnerus
      Pages 1-6
  3. Elementary Statistics

    1. Paul Knottnerus
      Pages 7-55
  4. Sampling Theory and Autocorrelations

    1. Front Matter
      Pages 57-57
    2. Paul Knottnerus
      Pages 77-103
    3. Paul Knottnerus
      Pages 105-145
    4. Paul Knottnerus
      Pages 147-187
    5. Paul Knottnerus
      Pages 189-213
  5. Variance Estimation in Complex Surveys

    1. Front Matter
      Pages 215-215
    2. Paul Knottnerus
      Pages 217-259
    3. Paul Knottnerus
      Pages 261-285
    4. Paul Knottnerus
      Pages 287-300
  6. Minimum Variance Estimators

    1. Front Matter
      Pages 301-301
    2. Paul Knottnerus
      Pages 303-323
    3. Paul Knottnerus
      Pages 391-402
  7. Back Matter
    Pages 403-419

About this book


This volume deals primarily with the classical question of how to draw conclusions about the population mean of a variable, given a sample with observations on that variable. Another classical question is how to use prior knowledge of an economic or definitional relationship between the popu­ lation means of several variables, provided that the variables are observed in a sample. The present volume is a compilation of two discussion papers and some additional notes on these two basic questions. The discussion papers and notes were prepared for a 15-hour course at Statistics Nether­ lands in Voorburg in February 2000. The first discussion paper is entitled "A Memoir on Sampling and Rho, the Generalized Intrasample Correlation Coefficient" (1999). It describes a new approach to the problem of unequal probability sampling. The second discussion paper "The General Restric­ tion Estimator" (2000), deals with the problem of how to find constrained estimators that obey a given set of restrictions imposed on the parameters to be estimated. Parts I and II of the volume provide a novel and systematic treatment of sampling theory considered from the angle of the sampling autocorrelation coefficient p (rho). The same concept plays an important role in the analysis of time series. Although this concept is also well known in sampling theory, for instance in cluster sampling and systematic sampling, generalizations of p for an arbitrary sampling design are to my knowledge not readily found in the literature.


Estimator Multinomial distribution Normal distribution Random variable Regression analysis Survey Sampling Variance correlation

Authors and affiliations

  • Paul Knottnerus
    • 1
  1. 1.Department of Methods and InformaticsStatistics NetherlandsVoorburgThe Netherlands

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag New York 2003
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-2988-4
  • Online ISBN 978-0-387-21764-2
  • Series Print ISSN 0172-7397
  • Buy this book on publisher's site
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