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Variable-based missing mechanism for an incomplete contingency table with unit missingness

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  • Jeon, Saebom
  • Kwon, Tae Yeon
  • Park, Yousung

Abstract

For an incomplete two-way contingency table including cases of missing units (i.e., unobserved data for both variables), we show that every pair of missing mechanisms posited for bivariate categorical variables is uniquely reproduced by an extended missing at random (EMAR) model with exactly equal fit. A condition is thus proposed to identify EMAR from the other missing mechanisms.

Suggested Citation

  • Jeon, Saebom & Kwon, Tae Yeon & Park, Yousung, 2019. "Variable-based missing mechanism for an incomplete contingency table with unit missingness," Statistics & Probability Letters, Elsevier, vol. 146(C), pages 90-96.
    • Handle: RePEc:eee:stapro:v:146:y:2019:i:c:p:90-96
    DOI: 10.1016/j.spl.2018.11.006
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    References listed on IDEAS

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    1. Geert Molenberghs & Caroline Beunckens & Cristina Sotto & Michael G. Kenward, 2008. "Every missingness not at random model has a missingness at random counterpart with equal fit," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 70(2), pages 371-388, April.
    2. Yousung Park & Bo-Seung Choi, 2010. "Bayesian analysis for incomplete multi-way contingency tables with nonignorable nonresponse," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(9), pages 1439-1453.
    3. Park, Yousung & Kim, Daeyoung & Kim, Seongyong, 2014. "Identification of the occurrence of boundary solutions in a contingency table with nonignorable nonresponse," Statistics & Probability Letters, Elsevier, vol. 93(C), pages 34-40.
    4. Kim, Seongyong & Park, Yousung & Kim, Daeyoung, 2015. "On missing-at-random mechanism in two-way incomplete contingency tables," Statistics & Probability Letters, Elsevier, vol. 96(C), pages 196-203.
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