Publication Date

2013

Document Type

Dissertation

Committee Members

Gary Burns (Committee Member), David Lahuis (Advisor), Valerie Shalin (Committee Member), Debra Steele-Johnson (Committee Member)

Degree Name

Doctor of Philosophy (PhD)

Abstract

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.

Page Count

83

Department or Program

Department of Psychology

Year Degree Awarded

2013


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