Methods for mediation analysis with missing data.

Zhiyong Zhang, Lijuan Wang
Author Information
  1. Zhiyong Zhang: University of Notre Dame, Notre Dame, IN, USA, zzhang4@nd.edu.

Abstract

Despite wide applications of both mediation models and missing data techniques, formal discussion of mediation analysis with missing data is still rare. We introduce and compare four approaches to dealing with missing data in mediation analysis including listwise deletion, pairwise deletion, multiple imputation (MI), and a two-stage maximum likelihood (TS-ML) method. An R package bmem is developed to implement the four methods for mediation analysis with missing data in the structural equation modeling framework, and two real examples are used to illustrate the application of the four methods. The four methods are evaluated and compared under MCAR, MAR, and MNAR missing data mechanisms through simulation studies. Both MI and TS-ML perform well for MCAR and MAR data regardless of the inclusion of auxiliary variables and for AV-MNAR data with auxiliary variables. Although listwise deletion and pairwise deletion have low power and large parameter estimation bias in many studied conditions, they may provide useful information for exploring missing mechanisms.

References

  1. Behav Res Methods. 2008 Aug;40(3):879-91 [PMID: 18697684]
  2. J Fam Psychol. 2005 Jun;19(2):294-304 [PMID: 15982107]
  3. Am J Ment Defic. 1979 Nov;84(3):235-44 [PMID: 93417]
  4. Control Clin Trials. 2001 Aug;22(4):453-79 [PMID: 11514044]
  5. Br J Math Stat Psychol. 1997 Nov;50 ( Pt 2):339-49 [PMID: 9421954]
  6. Psychol Methods. 2002 Mar;7(1):83-104 [PMID: 11928892]
  7. Multivariate Behav Res. 2011 Jul 1;46(4):567-597 [PMID: 24790248]
  8. Psychol Methods. 2003 Sep;8(3):322-37 [PMID: 14596494]
  9. Dev Neuropsychol. 2008;33(3):410-26 [PMID: 18473206]
  10. Behav Res Methods Instrum Comput. 2004 Nov;36(4):717-31 [PMID: 15641418]
  11. Multivariate Behav Res. 2004 Jan 1;39(1):99 [PMID: 20157642]
  12. Psychol Methods. 2002 Dec;7(4):422-45 [PMID: 12530702]
  13. Dev Psychol. 2009 Jul;45(4):1195-9 [PMID: 19586189]
  14. J Abnorm Psychol. 2003 Nov;112(4):558-77 [PMID: 14674869]
  15. Psychol Methods. 2006 Jun;11(2):142-63 [PMID: 16784335]

MeSH Term

Biostatistics
Data Interpretation, Statistical
Humans
Models, Statistical
Psychometrics

Word Cloud

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