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Stop or Continue Data Collection: A Nonignorable Missing Data Approach for Continuous Variables

Author

Listed:
  • Paiva Thais

    (Department of Statistics, Federal University of Minas Gerais, Av. Pres. Antônio Carlos, 6627 - Pampulha, Belo Horizonte, Brazil.)

  • Reiter Jerome P.

    (Department of Statistical Science, Duke University, Durham, NC, 27708, United States of America.)

Abstract

We present an approach to inform decisions about nonresponse follow-up sampling. The basic idea is (i) to create completed samples by imputing nonrespondents’ data under various assumptions about the nonresponse mechanisms, (ii) take hypothetical samples of varying sizes from the completed samples, and (iii) compute and compare measures of accuracy and cost for different proposed sample sizes. As part of the methodology, we present a new approach for generating imputations for multivariate continuous data with nonignorable unit nonresponse. We fit mixtures of multivariate normal distributions to the respondents’ data, and adjust the probabilities of the mixture components to generate nonrespondents’ distributions with desired features. We illustrate the approaches using data from the 2007 U.S. Census of Manufactures.

Suggested Citation

  • Paiva Thais & Reiter Jerome P., 2017. "Stop or Continue Data Collection: A Nonignorable Missing Data Approach for Continuous Variables," Journal of Official Statistics, Sciendo, vol. 33(3), pages 579-599, September.
    • Handle: RePEc:vrs:offsta:v:33:y:2017:i:3:p:579-599:n:2
    DOI: 10.1515/jos-2017-0028
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    References listed on IDEAS

    as
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    4. Jared S. Murray & Jerome P. Reiter, 2016. "Multiple Imputation of Missing Categorical and Continuous Values via Bayesian Mixture Models With Local Dependence," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 111(516), pages 1466-1479, October.
    5. Schouten, Barry & Shlomo, Natalie & Skinner, Chris J., 2011. "Indicators for monitoring and improving representativeness of response," LSE Research Online Documents on Economics 39121, London School of Economics and Political Science, LSE Library.
    6. Barry Schouten & Jelke Bethlehem & Koen Beullens & Øyvin Kleven & Geert Loosveldt & Annemieke Luiten & Katja Rutar & Natalie Shlomo & Chris Skinner, 2012. "Evaluating, Comparing, Monitoring, and Improving Representativeness of Survey Response Through R-Indicators and Partial R-Indicators," International Statistical Review, International Statistical Institute, vol. 80(3), pages 382-399, December.
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