11. Cluster Sampling in Which Clusters Are Sampled with Unequal Probability: Probability Proportional to Size Sampling

  1. Paul S. Levy1 and
  2. Stanley Lemeshow2

Published Online: 30 SEP 2011

DOI: 10.1002/9780470374597.ch11

Sampling of Populations: Methods and Applications, Fourth Edition

Sampling of Populations: Methods and Applications, Fourth Edition

How to Cite

Levy, P. S. and Lemeshow, S. (2008) Cluster Sampling in Which Clusters Are Sampled with Unequal Probability: Probability Proportional to Size Sampling, in Sampling of Populations: Methods and Applications, Fourth Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470374597.ch11

Author Information

  1. 1

    RTI International, Statistical Research Division, Research Triangle Park, North Carolina

  2. 2

    The Ohio State University, College of Public Health, Columbus, Ohio

Publication History

  1. Published Online: 30 SEP 2011
  2. Published Print: 15 JUL 2008

ISBN Information

Print ISBN: 9780470040072

Online ISBN: 9780470374597

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Keywords:

  • cluster sampling;
  • unequal probability;
  • equal probability;
  • Horvitz-Thompson estimator;
  • Hansen-Hurwitz estimator

Summary

This chapter contains sections titled:

  • Motivation for Not Sampling Clusters with Equal Probability

  • Two General Classes of Estimators Valid for Sample Designs in Which Units Are Selected with Unequal Probability

  • Probability Proportional to Size Sampling

  • Further Comment on PPS Sampling

  • Summary