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A flexible marginal modelling strategy for non‐monotone missing data

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  • Ivy Jansen
  • Geert Molenberghs

Abstract

Summary. Much research has been devoted to modelling strategies for longitudinal data with missingness, recently especially within the missingness not at random context. In this paper, the relatively unexplored but practically highly relevant domain of non‐monotone missingness with multivariate ordinal responses is broached. For this, a dedicated version of the multivariate Dale model is formulated. Furthermore, we also assess the sensitivity of these models to their assumptions, by using the technique of global influence.

Suggested Citation

  • Ivy Jansen & Geert Molenberghs, 2008. "A flexible marginal modelling strategy for non‐monotone missing data," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 171(2), pages 347-373, April.
    • Handle: RePEc:bla:jorssa:v:171:y:2008:i:2:p:347-373
    DOI: 10.1111/j.1467-985X.2007.00524.x
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    References listed on IDEAS

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    1. Jansen, Ivy & Hens, Niel & Molenberghs, Geert & Aerts, Marc & Verbeke, Geert & Kenward, Michael G., 2006. "The nature of sensitivity in monotone missing not at random models," Computational Statistics & Data Analysis, Elsevier, vol. 50(3), pages 830-858, February.
    2. Ivy Jansen & Geert Molenberghs & Marc Aerts & Herbert Thijs & Kristel Van Steen, 2003. "A Local Influence Approach Applied to Binary Data from a Psychiatric Study," Biometrics, The International Biometric Society, vol. 59(2), pages 410-419, June.
    3. Geert Verbeke & Geert Molenberghs & Herbert Thijs & Emmanuel Lesaffre & Michael G. Kenward, 2001. "Sensitivity Analysis for Nonrandom Dropout: A Local Influence Approach," Biometrics, The International Biometric Society, vol. 57(1), pages 7-14, March.
    4. Geert Molenberghs & Michael G. Kenward & Els Goetghebeur, 2001. "Sensitivity analysis for incomplete contingency tables: the Slovenian plebiscite case," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 50(1), pages 15-29.
    5. Molenberghs, Geert & Verbeke, Geert & Thijs, Herbert & Lesaffre, Emmanuel & Kenward, Michael G., 2001. "Influence analysis to assess sensitivity of the dropout process," Computational Statistics & Data Analysis, Elsevier, vol. 37(1), pages 93-113, July.
    6. D. R. Cox, 1972. "The Analysis of Multivariate Binary Data," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 21(2), pages 113-120, June.
    7. Holt, D. Tim, 2007. "The Official Statistics Olympic Challenge: Wider, Deeper, Quicker, Better, Cheaper," The American Statistician, American Statistical Association, vol. 61, pages 1-8, February.
    8. Geert Molenberghs & Herbert Thijs & Michael G. Kenward & Geert Verbeke, 2003. "Sensitivity Analysis of Continuous Incomplete Longitudinal Outcomes," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 57(1), pages 112-135, February.
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    Cited by:

    1. Roula Tsonaka & Dimitris Rizopoulos & Geert Verbeke & Emmanuel Lesaffre, 2010. "Nonignorable Models for Intermittently Missing Categorical Longitudinal Responses," Biometrics, The International Biometric Society, vol. 66(3), pages 834-844, September.

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