Sample Design and Sample Size for Single-Stage Surveys

  • Richard Valliant
  • Jill A. Dever
  • Frauke Kreuter
Part of the Statistics for Social and Behavioral Sciences book series (SSBS)


Chapter  3 covers the problem of determining a sample size for single-stage surveys with targets for coefficients of variation, margins of error, and cost constraints. Determining sample sizes based on means, totals, and proportions are emphasized in this chapter. Designs covered are simple random samples selected without replacement, stratified simple random samples, and samples selected with varying probabilities (e.g., probability proportional to size samples, pps). Models are especially useful when analyzing pps sampling as discussed in Sect. 3.2.2. The chapter also covers more specialized topics, including systematic, Poisson, and some other sampling methods, and the estimation of population parameters that are needed in sample size formulas. R code examples are given to illustrate calculations.


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Richard Valliant
    • 1
    • 2
  • Jill A. Dever
    • 3
  • Frauke Kreuter
    • 2
    • 4
  1. 1.University of MichiganAnn ArborUSA
  2. 2.University of MarylandCollege ParkUSA
  3. 3.RTI InternationalWashington, DCUSA
  4. 4.University of MannheimMannheimGermany

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