Methods for Mediation Analysis with Missing Data

Psychometrika

Volumn 78, Issue 1, 2013, Pages 154-184

  Zhang, Zhiyong ^a   Wang, Lijuan ^a  

^a UNIVERSITY OF NOTRE DAME   (United States)

Author keywords

auxiliary variables; bootstrap; mediation analysis; MI; missing data; TS ML

Indexed keywords

BIOSTATISTICS; HUMAN; PROCEDURES; PSYCHOMETRY; STATISTICAL ANALYSIS; STATISTICAL MODEL;

BIOSTATISTICS; DATA INTERPRETATION, STATISTICAL; HUMANS; MODELS, STATISTICAL; PSYCHOMETRICS;

EID: 84872342551     PISSN: 00333123     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11336-012-9301-5     Document Type: Article

References (47)

1. Azen, S., & van Guilder, M. (1981). Conclusions regarding algorithms for handling incomplete data. In Proceedings of the survey research methods section (pp. 53-56).
2. Bauer, D. J., Preacher, K. J., & Gil, K. M. (2006). Conceptualizing and testing random indirect effects and moderated mediation in multilevel models: new procedures and recommendations. Psychological Methods, 11(2), 142-163.
3. Bentler, P. M., & Weeks, D. G. (1980). Linear structural equations with latent variables. Psychometrika, 45, 289-308.
4. Best, N. G., Spiegelhalter, D. J., Thomas, A., & Brayne, C. E. (1996). Bayesian analysis of realistically complex models. Journal of the Royal Statistical Society. Series A, 159, 323-342.
5. Bollen, K. A., & Stine, R. A. (1990). Direct and indirect effects: classical and bootstrap estimates of variability. Sociological Methodology, 20, 115-140.
6. Brandt, J. (1991). The Hopkins verbal learning test: development of a new memory test with six equivalent forms. Clinical Neuropsychology, 5, 125-142.
7. Chen, Z. X., Aryee, S., & Lee, C. (2005). Test of a mediation model of perceived organizational support. Journal of Vocational Behavior, 66(3), 457-470.
8. Center for Human Resource Research (2006). NLSY79 child & young adult data users guide: a guide to the 1986-2004 child data (Computer software manual). Columbus.
9. Cladwell, B. M., & Bradley, R. H. (1979). Home observation for measurement of the environment. Little Rock: University of Arkansas.
10. Cole, D. A., & Maxwell, S. E. (2003). Testing mediational models with longitudinal data: questions and tips in the use of structural equation modeling. Journal of Abnormal Psychology, 112, 558-577.
11. Davis-Kean, P. E. (2005). The influence of parent education and family income on child achievement: the indirect role of parental expectations and the home environment. Journal of Family Psychology, 19, 294-304.
12. Efron, B. (1979). Bootstrap methods: another look at the jackknife. The Annals of Statistics, 7(1), 1-26.
13. Efron, B. (1987). Better bootstrap confidence intervals. Journal of the American Statistical Association, 82(397), 171-185.
14. Efron, B. (1994). Missing data, imputation, and the bootstrap. Journal of the American Statistical Association, 89(426), 463-478.
15. Efron, B., & Tibshirani, R. (1993). An introduction to the bootstrap. New York: CRC Press.
16. Ekstrom, R. B., French, J. W., Harman, H. H., & Derman, D. (1976). Kit of factor-referenced cognitive tests. Princeton: Educational Testing Service.
17. Enders, C. K. (2003). Using the expectation maximization algorithm to estimate coefficient alpha for scales with item-level missing data. Psychological Methods, 8, 322-337.
18. Fox, J. (2006). Structural equation modeling with the sem package in r. Structural Equation Modeling, 13, 465-486.
19. Gonda, J., & Schaie, K. W. (1985). Schaie-Thurstone mental abilities test: word series test. Palo Alto: Consulting Psychologists Press.
20. Grimm, K. J. (2008). Longitudinal associations between reading and mathematics. Developmental Neuropsychology, 33, 410-426.
21. Jelicic, H., Phelps, E., & Lerner, R. M. (2009). Use of missing data methods in longitudinal studies: the persistence of bad practices in developmental psychology. Developmental Neuropsychology, 45, 1195-1199.
22. Jobe, J. B., Smith, D. M., Ball, K., Tennstedt, S. L., Marsiske, M., Willis, S. L., & Kleinman, K. (2001). Active: a cognitive intervention trial to promote independence in older adults. Controlled Clinical Trials, 22(4), 453-479.
23. Leppard, P., & Tallis, G. M. (1989). Evaluation of the mean and covariance of the truncated multinormal. Applied Statistics, 38, 543-553.
24. Little, R. J. A., & Rubin, D. B. (2002). Statistical analysis with missing data (2nd ed.). New York: Wiley-Interscience.
25. Lu, Z., Zhang, Z., & Lubke, G. (2011). Bayesian inference for growth mixture models with non-ignorable missing data. Multivariate Behavioral Research, 46, 567-597.
26. MacKinnon, D. P. (2008). Introduction to statistical mediation analysis. London: Taylor & Francis.
27. MacKinnon, D. P., Lockwood, C. M., Hoffman, J. M., West, S. G., & Sheets, V. (2002). A comparison of methods to test mediation and other intervening variable effects. Psychological Methods, 7, 83-104.
28. MacKinnon, D. P., Lockwood, C. M., & Williams, J. (2004). Confidence limits for the indirect effect: distribution of the product and resampling methods. Multivariate Behavioral Research, 39(1), 99-128.
29. McArdle, J. J., & Boker, S. M. (1990). Rampath. Hillsdale: Lawrence Erlbaum.
30. Preacher, K. J., & Hayes, A. F. (2004). SPSS and sas procedures for estimating indirect effects in simple mediation models. Behavior Research Methods, Instruments, & Computers, 36, 717-731.
31. Preacher, K. J., & Hayes, A. F. (2008). Asymptotic and resampling strategies for assessing and comparing indirect effects in multiple mediator models. Behavior Research Methods, 40, 879-891.
32. Rubin, D. B. (1976). Inference and missing data. Biometrika, 63(3), 581-592.
33. Rubin, D. B. (1996). Multiple imputation after 18+ years. Journal of the American Statistical Association, 91, 473-489.
34. Savalei, V., & Bentler, P. M. (2009). A two-stage approach to missing data: theory and application to auxiliary variables. Structural Equation Modeling, 16, 477-497.
35. Savalei, V., & Falk, C. (in press). Robust two-stage approach outperforms robust FIML with incomplete nonnormal data. Structural Equation Modeling.
36. Schafer, J. L. (1997). Analysis of incomplete multivariate data. London: Chapman & Hall/CRC.
37. Shrout, P. E., & Bolger, N. (2002). Mediation in experimental and nonexperimental studies: new procedures and recommendations. Psychological Methods, 7, 422-445.
38. Sobel, M. E. (1982). Asymptotic confidence intervals for indirect effects in structural equation models. In S. Leinhardt (Ed.), Sociological methodology (pp. 290-312). San Francisco: Jossey-Bass.
39. Tallis, G. M. (1961). The moment generating function of the truncated multinormal distribution. Journal of the Royal Statistical Society. Series B, 23, 223-229.
40. Tang, M.-L., & Bentler, P. M. (1997). Maximum likelihood estimation in covariance structure analysis with truncated data. British Journal of Mathematical & Statistical Psychology, 50(2), 339-349. doi: 10. 1111/j. 2044-8317. 1997. tb01149. x. Available from http://dx. doi. org/10. 1111/j. 2044-8317. 1997. tb01149. x.
41. Thurstone, L. L., & Thurstone, T. G. (1949). Examiner manual for the SRA primary mental abilities test (form 10-14). Chicago: Science Research Associates.
42. Wilhelm, S., & Manjunath, B. G. (2010). tmvtnorm: truncated multivariate normal and Student t distribution [Computer software manual]. Available from http://CRAN. R-project. org/package=tmvtnorm (R package version 1. 2-3).
43. Willis, S. L., & Marsiske, M. (1993). Manual for the everyday problems test. University Park: Pennsylvania State University.
44. Yuan, K.-H. (2009). Identifying variables responsible for data not missing at random. Psychometrika, 74, 233-256.
45. Yuan, K.-H., & Bentler, P. M. (2000). Three likelihood-based methods for mean and covariance structure analysis with nonnormal missing data. Sociological Methodology, 30, 165-200.
46. Yung, Y.-F. (1996). Bootstrapping techniques in analysis of mean and covariance structures. In G. A. Marcoulides & R. E. Schumacker (Eds.), Advanced structural equation modeling: issues and techniques (pp. 195-226). Mahwah: Erlbaum.
47. Zhang, Z., & Yuan, K.-H. (2012). WebSEM manual [Computer software manual]. Available from https://websem. psychstat. org.