IDEAS home Printed from https://ideas.repec.org/a/spr/psycho/v78y2013i1p154-184.html
   My bibliography  Save this article

Methods for Mediation Analysis with Missing Data

Author

Listed:
  • Zhiyong Zhang
  • Lijuan Wang

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. Copyright The Psychometric Society 2013

Suggested Citation

  • Zhiyong Zhang & Lijuan Wang, 2013. "Methods for Mediation Analysis with Missing Data," Psychometrika, Springer;The Psychometric Society, vol. 78(1), pages 154-184, January.
    • Handle: RePEc:spr:psycho:v:78:y:2013:i:1:p:154-184
    DOI: 10.1007/s11336-012-9301-5
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s11336-012-9301-5
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s11336-012-9301-5?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Ke-Hai Yuan, 2009. "Identifying Variables Responsible for Data not Missing at Random," Psychometrika, Springer;The Psychometric Society, vol. 74(2), pages 233-256, June.
    2. P. Bentler & David Weeks, 1980. "Linear structural equations with latent variables," Psychometrika, Springer;The Psychometric Society, vol. 45(3), pages 289-308, September.
    3. N. G. Best & D. J. Spiegelhalter & A. Thomas & C. E. G. Brayne, 1996. "Bayesian Analysis of Realistically Complex Models," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 159(2), pages 323-342, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. D. Gunzler & W. Tang & N. Lu & P. Wu & X. Tu, 2014. "A Class of Distribution-Free Models for Longitudinal Mediation Analysis," Psychometrika, Springer;The Psychometric Society, vol. 79(4), pages 543-568, October.
    2. Zhou, Wubiao, 2017. "Institutional environment, public-private hybrid forms, and entrepreneurial reinvestment in a transition economy," Journal of Business Venturing, Elsevier, vol. 32(2), pages 197-214.
    3. Antonio Calcagnì & Luigi Lombardi & Lorenzo Avanzi & Eduardo Pascali, 2020. "Multiple mediation analysis for interval-valued data," Statistical Papers, Springer, vol. 61(1), pages 347-369, February.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jeffrey J. Hoogland & Anne Boomsma, 1998. "Robustness Studies in Covariance Structure Modeling," Sociological Methods & Research, , vol. 26(3), pages 329-367, February.
    2. Neil Spencer, 2002. "Combining Modelling Strategies to Analyse Teaching Styles Data," Quality & Quantity: International Journal of Methodology, Springer, vol. 36(2), pages 113-127, May.
    3. Junmin Lee & Keungoui Kim & Hyunha Shin & Junseok Hwang, 2018. "Acceptance Factors of Appropriate Technology: Case of Water Purification Systems in Binh Dinh, Vietnam," Sustainability, MDPI, vol. 10(7), pages 1-20, June.
    4. Tsonaka, R. & Moustaki, I., 2007. "Parameter constraints in generalized linear latent variable models," Computational Statistics & Data Analysis, Elsevier, vol. 51(9), pages 4164-4177, May.
    5. Esteban Alberdi, C. & Rubio Andrada, L. & Rodríguez Antón, J. M., 2005. "Causal Relationships Between Intangibles and Overall Assessment of the Service Received in a Travel Agency/Calidad e Intangibles. Relaciones de causalidad en los servicios de intermediación. Aplicació," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 23, pages 323-334, Agosto.
    6. Fionn Murtagh & R. Curnow & J. Felsenstein & P. Sneath & Margaret Wright & A. Bowman & P. Altham & J. Jeffers & Martin Crowder & P. Bentler & Šarnas Raudys, 1991. "Book reviews," Journal of Classification, Springer;The Classification Society, vol. 8(1), pages 115-148, January.
    7. Wai Chan & Peter M. Bentler, 1993. "The Covariance Structure Analysis of Ipsative Data," Sociological Methods & Research, , vol. 22(2), pages 214-247, November.
    8. Roderick McDonald, 1986. "Describing the elephant: Structure and function in multivariate data," Psychometrika, Springer;The Psychometric Society, vol. 51(4), pages 513-534, December.
    9. Lawrence S. Mayer & Steven S. Carroll, 1988. "Measures of Dependence for Cross-Lagged Panel Models," Sociological Methods & Research, , vol. 17(1), pages 93-120, August.
    10. Bergeron, François & Raymond, Louis & Rivard, Suzanne, 2001. "Fit in strategic information technology management research: an empirical comparison of perspectives," Omega, Elsevier, vol. 29(2), pages 125-142, April.
    11. Hugo Horta & João M. Santos, 2016. "An instrument to measure individuals’ research agenda setting: the multi-dimensional research agendas inventory," Scientometrics, Springer;Akadémiai Kiadó, vol. 108(3), pages 1243-1265, September.
    12. Clement Stone & Michael Sobel, 1990. "The robustness of estimates of total indirect effects in covariance structure models estimated by maximum," Psychometrika, Springer;The Psychometric Society, vol. 55(2), pages 337-352, June.
    13. Luzar, E. Jane & Gan, Christopher E.C. & Kanjilal, Barun & Messonnier, Mark L., 1992. "Quality As A Latent Variable In Recreation Access Analysis," Southern Journal of Agricultural Economics, Southern Agricultural Economics Association, vol. 24(2), pages 1-8, December.
    14. Muhammad Waqas & Qian-li Dong & Naveed Ahmad & Yuming Zhu & Muhammad Nadeem, 2018. "Critical Barriers to Implementation of Reverse Logistics in the Manufacturing Industry: A Case Study of a Developing Country," Sustainability, MDPI, vol. 10(11), pages 1-25, November.
    15. Higgs, Megan Dailey & Hoeting, Jennifer A., 2010. "A clipped latent variable model for spatially correlated ordered categorical data," Computational Statistics & Data Analysis, Elsevier, vol. 54(8), pages 1999-2011, August.
    16. David Kaplan, 1994. "Estimator Conditioning Diagnostics for Covariance Structure Models," Sociological Methods & Research, , vol. 23(2), pages 200-229, November.
    17. Muhammad Waqas & Qian-li Dong & Naveed Ahmad & Yuming Zhu & Muhammad Nadeem, 2018. "Understanding Acceptability towards Sustainable Transportation Behavior: A Case Study of China," Sustainability, MDPI, vol. 10(10), pages 1-24, October.
    18. Opher Baron & Iman Hajizadeh & Joseph Milner, 2011. "Now Playing: DVD Purchasing for a Multilocation Rental Firm," Manufacturing & Service Operations Management, INFORMS, vol. 13(2), pages 209-226, April.
    19. Paul C. Lambert & Lucinda J. Billingham & Nicola J. Cooper & Alex J. Sutton & Keith R. Abrams, 2008. "Estimating the cost‐effectiveness of an intervention in a clinical trial when partial cost information is available: a Bayesian approach," Health Economics, John Wiley & Sons, Ltd., vol. 17(1), pages 67-81, January.
    20. H. Kiiveri, 1987. "An incomplete data approach to the analysis of covariance structures," Psychometrika, Springer;The Psychometric Society, vol. 52(4), pages 539-554, December.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:psycho:v:78:y:2013:i:1:p:154-184. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.