14. Double or Two-Phase Sampling

  1. Steven K. Thompson

Published Online: 10 FEB 2012

DOI: 10.1002/9781118162934.ch14

Sampling, Third Edition

Sampling, Third Edition

How to Cite

Thompson, S. K. (2012) Double or Two-Phase Sampling, in Sampling, Third Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118162934.ch14

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



  • double-phase sampling;
  • nonsampling errors;
  • ratio estimation;
  • two-phase sampling


Double sampling refers to designs in which initially a sample of units is selected for obtaining auxiliary information only, and then a second sample is selected in which the variable of interest is observed in addition to the auxiliary information. The second sample is often selected as a subsample of the first. The purpose of double sampling is to obtain better estimators by using the relationship between auxiliary variables and the variable of interest. Double sampling is also known as two-phase sampling. Double sampling for stratification, the units in the initial sample are classified into strata. The second sample is then selected by stratified sampling from the initial sample. An important special use of this method is adjustment for nonresponse in surveys.

Controlled Vocabulary Terms

double sampling plan; ratio distribution