SEVEN. Application of Weighting with Probability Sampling and Nonresponse

  1. Mari Palta

Published Online: 11 AUG 2003

DOI: 10.1002/0471467979.ch7

Quantitative Methods in Population Health: Extensions of Ordinary Regression

Quantitative Methods in Population Health: Extensions of Ordinary Regression

How to Cite

Palta, M. (2003) Application of Weighting with Probability Sampling and Nonresponse, in Quantitative Methods in Population Health: Extensions of Ordinary Regression, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/0471467979.ch7

Author Information

  1. Madison, Wisconsin, USA

Publication History

  1. Published Online: 11 AUG 2003
  2. Published Print: 15 AUG 2003

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: 9780471455059

Online ISBN: 9780471467977

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Keywords:

  • sampling;
  • complex survey;
  • bias;
  • probability sampling;
  • inverse probability weight;
  • empirical variance;
  • Huber;
  • non-response;
  • missing data;
  • MAR;
  • MCAR

Summary

Unequal probability sampling leads to mean of sample being a biased estimator. Application of inverse probability weights to obtain unbiased estimators. Detailed presentation of how this works for estimation of mean. Example of unequal probability sampling to assemble sleep cohort, and inverse probability weights in PROC MIXED. Application of empirical variance to obtain standard errors.

Non-response as an example of unequal probability weights. Definition of missing completely at random and missing at random. Calculation of weights under assumption of missing at random. Recommendations for presenting data with non-response in publications. Application to follow-up study of very low birth weight to determine and analyze social function at age 5.

We discuss the issue of weighting versus adjustment by including the weighting variable as a covariate.