11. Stratified Sampling

  1. Steven K. Thompson

Published Online: 10 FEB 2012

DOI: 10.1002/9781118162934.ch11

Sampling, Third Edition

Sampling, Third Edition

How to Cite

Thompson, S. K. (2012) Stratified Sampling, in Sampling, Third Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118162934.ch11

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



  • confidence intervals;
  • population mean;
  • poststratification;
  • stratified random sampling


In stratified sampling, the population is partitioned into regions or strata, and a sample is selected by some design within each stratum. The design is called stratified random sampling if the design within each stratum is simple random sampling. This chapter first explains estimation of the population total and population mean. It then discusses confidence intervals and the stratification principle. Next, the chapter describes allocation in stratified random sampling. A simple model for a stratified population assumes that the population Y -values are independent random variables, each having a normal distribution, and with means and variances depending on stratum membership. Finally, the chapter presents derivations for stratified sampling and illustrates calculations and a simulation for stratification.

Controlled Vocabulary Terms

confidence interval; mean; random sampling; stratified sampling