10. Design and Model

  1. Steven K. Thompson

Published Online: 10 FEB 2012

DOI: 10.1002/9781118162934.ch10

Sampling, Third Edition

Sampling, Third Edition

How to Cite

Thompson, S. K. (2012) Design and Model, in Sampling, Third Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118162934.ch10

Author Information

  1. Simon Fraser University, Canada

Publication History

  1. Published Online: 10 FEB 2012
  2. Published Print: 23 FEB 2012

Book Series:

  1. Wiley Series in Probability and Statistics

Book Series Editors:

  1. Walter A. Shewhart and
  2. Samuel S. Wilks

ISBN Information

Print ISBN: 9780470402313

Online ISBN: 9781118162934



  • likelihood function;
  • sampling design


This chapter first discusses the uses of design and model in sampling. In the design-based approach to survey sampling, the values of a variable of interest of the population are viewed as fixed quantities and the selection probabilities introduced with the design are used in determining the expectations, variances, biases, and other properties of estimators. In the model-based approach, on the other hand, the values of the variables of interest in the population are viewed as random variables, and the properties of estimators depend on the joint distribution of these random variables. The chapter then describes connections between the design and model approaches. Finally, it discusses likelihood function in sampling.

Controlled Vocabulary Terms

likelihood; random variables; sampling; Sampling design