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Semiparametric Bayes Multiple Imputation for Regression Models with Missing Mixed Continuous-Discrete Covariates

Author

Listed:
  • Ryo Kato

    (Research Institute for Economics & Business Administration (RIEB), Kobe University, Japan)

  • Takahiro Hoshino

    (Department of Economics, Keio University, Japan and RIKEN Center for Advanced Intelligence Project, Japan)

Abstract

Issues regarding missing data are critical in observational and experimental research, as they induce loss of information and biased result. Recently, for datasets with mixed continuous and discrete variables in various study areas, multiple imputation by chained equation (MICE) has been more widely used, although MICE may yield severely biased estimates. We propose a new semiparametric Bayes multiple imputation approach that can deal with continuous and discrete variables. This enables us to overcome the shortcomings of multiple imputation by MICE; they must satisfy strong conditions (known as compatibility) to guarantee that obtained estimators are consistent. Our exhaustive simulation studies show thatthe coverage probability of 95 % interval calculated using MICE can be less than 1 %, while the MSE of the proposed one can be less than one-fiftieth. We also applied our method to the Alzheimer's Disease Neuroimaging Initiative (ADNI) dataset, and the results are consistent with those of the previous research works that used panel data other than ADNI database, whereas the existing methods such as MICE, resulted in entirely inconsistent results.

Suggested Citation

  • Ryo Kato & Takahiro Hoshino, 2018. "Semiparametric Bayes Multiple Imputation for Regression Models with Missing Mixed Continuous-Discrete Covariates," Discussion Paper Series DP2018-15, Research Institute for Economics & Business Administration, Kobe University.
    • Handle: RePEc:kob:dpaper:dp2018-15
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    File URL: https://www.rieb.kobe-u.ac.jp/academic/ra/dp/English/DP2018-15.pdf
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    References listed on IDEAS

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    Cited by:

    1. Ryo Kato & Takahiro Hoshino, 2020. "Semiparametric Bayesian Instrumental Variables Estimation for Nonignorable Missing Instruments," Discussion Paper Series DP2020-06, Research Institute for Economics & Business Administration, Kobe University.

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    Keywords

    Full conditional specification; Missing data; Multiple imputation; Probit stickbreaking process mixture; Semiparametric Bayes model;
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