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    Semiparametric approach for non-monotone missing covariates in a parametric regression model

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    Type
    Article
    Authors
    Sinha, Samiran
    Saha, Krishna K.
    Wang, Suojin
    KAUST Grant Number
    KUS-CI-016-04
    Date
    2014-02-26
    Online Publication Date
    2014-02-26
    Print Publication Date
    2014-06
    Permanent link to this record
    http://hdl.handle.net/10754/599588
    
    Metadata
    Show full item record
    Abstract
    Missing covariate data often arise in biomedical studies, and analysis of such data that ignores subjects with incomplete information may lead to inefficient and possibly biased estimates. A great deal of attention has been paid to handling a single missing covariate or a monotone pattern of missing data when the missingness mechanism is missing at random. In this article, we propose a semiparametric method for handling non-monotone patterns of missing data. The proposed method relies on the assumption that the missingness mechanism of a variable does not depend on the missing variable itself but may depend on the other missing variables. This mechanism is somewhat less general than the completely non-ignorable mechanism but is sometimes more flexible than the missing at random mechanism where the missingness mechansim is allowed to depend only on the completely observed variables. The proposed approach is robust to misspecification of the distribution of the missing covariates, and the proposed mechanism helps to nullify (or reduce) the problems due to non-identifiability that result from the non-ignorable missingness mechanism. The asymptotic properties of the proposed estimator are derived. Finite sample performance is assessed through simulation studies. Finally, for the purpose of illustration we analyze an endometrial cancer dataset and a hip fracture dataset.
    Citation
    Sinha S, Saha KK, Wang S (2014) Semiparametric approach for non-monotone missing covariates in a parametric regression model. Biom 70: 299–311. Available: http://dx.doi.org/10.1111/biom.12159.
    Sponsors
    The authors thank the Editor, an Associate Editor, and two referees for their constructive and helpful comments and suggestions which have led to a much improved version of the manuscript, and Hua Yun Chen for kindly providing the hip fracture dataset. This research was partially supported by NSF grant SES 0961618, NIH grant R03CA176760, and Award Number KUS-CI-016-04 made by King Abdullah University of Science and Technology (KAUST). Part of the work was carried out while Wang was visiting Australian National University supported by the Mathematical Sciences Research Visitor Program.
    Publisher
    Wiley
    Journal
    Biometrics
    DOI
    10.1111/biom.12159
    PubMed ID
    24571224
    PubMed Central ID
    PMC4061254
    ae974a485f413a2113503eed53cd6c53
    10.1111/biom.12159
    Scopus Count
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