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The Effects of Multicollinearity in Multilevel Models

Clark, Patrick Carl, Jr.

Abstract Details

2013, Doctor of Philosophy (PhD), Wright State University, Human Factors and Industrial/Organizational Psychology PhD.
This study examined a method for calculating the impact of multicollinearity on multilevel modeling. The major research questions concerned a) how the simulation design factors affect (multilevel variance inflation factor) MVIF, b) how MVIF affects standard errors of regression coefficients, and c) how MVIF affects significance of regression coefficients. Monte Carlo simulations were conducted to address these questions. Predictor relationships were manipulated in order to simulate multicollinearity. Findings indicate that a) increases in relationships among Level 1 predictors and also relationships among Level 2 predictors led to increased MVIF for those specific variables, b) as MVIF increases for a predictor, the standard errors for the regression coefficients also increase., and c) when MVIF values for the regression coefficients were 5 or higher, margins of error were around .20, and therefore any coefficients around .20 or lower will become non-significant.
David LaHuis, Ph.D. (Advisor)
Debra Steele-Johnson, Ph.D. (Committee Member)
Gary Burns, Ph.D. (Committee Member)
Valerie Shalin, Ph.D. (Committee Member)
83 p.

Recommended Citations

Citations

  • Clark, Jr., P. C. (2013). The Effects of Multicollinearity in Multilevel Models [Doctoral dissertation, Wright State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=wright1375956788

    APA Style (7th edition)

  • Clark, Jr., Patrick. The Effects of Multicollinearity in Multilevel Models. 2013. Wright State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=wright1375956788.

    MLA Style (8th edition)

  • Clark, Jr., Patrick. "The Effects of Multicollinearity in Multilevel Models." Doctoral dissertation, Wright State University, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=wright1375956788

    Chicago Manual of Style (17th edition)