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September 1, 1977Journal of the American Statistical Association361 citations

Formalizing Subjective Notions about the Effect of Nonrespondents in Sample Surveys

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DRDonald B. Rubin

Key Points

  • The aim is to estimate the impact of nonresponse in sample surveys using subjective Bayesian methods.
  • Used Bayesian techniques to create a subjective probability interval for the potential statistic with responses from nonrespondents.
  • Utilized background information from both respondents and nonrespondents to refine the subjective interval.
  • Applied the method to real survey data from 660 schools with 188 nonrespondents.
  • The Bayesian method effectively estimates the statistic that would have been obtained if all nonrespondents had responded.
  • The subjective probability intervals demonstrate practical utility in addressing nonrespondent-related issues in surveys.
  • The framework is adaptable to various contexts involving missing data.

Abstract

Abstract A method is given for estimating, in a subjective sense, the effect of nonresponse in sample surveys. Based on Bayesian techniques, this method produces a subjective probability interval for the statistic that would have been calculated if all nonrespondents had responded. Background information which is recorded for both respondents and nonrespondents plays an important role in sharpening the subjective interval. Real survey data of 660 schools with 188 nonrespondents indicates that the method can be useful in practical problems. The general idea can be applied to any problem with nonrespondents or missing data.

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Cite This Study

Donald B. Rubin (1977) studied this question.

synapsesocial.com/papers/6a0f5d6d5725bbd5cc5fb2bbhttps://doi.org/10.1080/01621459.1977.10480610
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