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- Genre: Masters Thesis
Description
Researchers are often interested in estimating interactions in multilevel models, but many researchers assume that the same procedures and interpretations for interactions in single-level models apply to multilevel models. However, estimating interactions in multilevel models is much more complex than in single-level models. Because uncentered (RAS) or grand mean centered (CGM) level-1 predictors in two-level models contain two sources of variability (i.e., within-cluster variability and between-cluster variability), interactions involving RAS or CGM level-1 predictors also contain more than one source of variability. In this Master’s thesis, I use simulations to demonstrate that ignoring the four sources of variability in a total level-1 interaction effect can lead to erroneous conclusions. I explain how to parse a total level-1 interaction effect into four specific interaction effects, derive equivalencies between CGM and centering within context (CWC) for this model, and describe how the interpretations of the fixed effects change under CGM and CWC. Finally, I provide an empirical example using diary data collected from working adults with chronic pain.
ContributorsMazza, Gina L (Author) / Enders, Craig K. (Thesis advisor) / Aiken, Leona S. (Thesis advisor) / West, Stephen G. (Committee member) / Arizona State University (Publisher)
Created2015
Description
ABSTRACT
This cross-sectional study examined whether the temperament dimensions of negative emotionality, positive emotionality, and impulsivity moderated the relation between interparental conflict and children’s internalizing and externalizing problems. The sample consisted of 355 divorced mothers and their children (9-12 years old) who participated in a randomized controlled trial of a preventive parenting intervention for divorcing families. Children provided reports of their experiences of interparental conflict and internalizing and externalizing problems; mothers provided reports of children’s temperament and internalizing and externalizing problems. The relations were examined separately for child report and mother report of outcomes using multiple regression analyses. Results found no support for the interactive effect of interparental conflict and temperament dimensions on children’s internalizing or externalizing problems. Consistent with an additive model of their effects, interparental conflict and temperament dimensions were directly and independently related to the outcomes. There was a significant, positive effect of interparental conflict and negative emotionality on children’s internalizing and externalizing problems. Positive emotionality was significantly, negatively related to internalizing and externalizing problems. Impulsivity was significantly, positively related to externalizing problems only. The patterns of results varied somewhat across mother and child report of interparental conflict on externalizing problems and positive emotionality on internalizing problems. The results of this study are consistent with the previous research on the significant main effects of interparental conflict and temperament dimensions on children’s internalizing and externalizing problems. These findings suggest that children’s environment and intrapersonal characteristics, represented by children’s experiences of interparental conflict and temperament, both uniquely contribute to children’s post-divorce internalizing and externalizing problems.
This cross-sectional study examined whether the temperament dimensions of negative emotionality, positive emotionality, and impulsivity moderated the relation between interparental conflict and children’s internalizing and externalizing problems. The sample consisted of 355 divorced mothers and their children (9-12 years old) who participated in a randomized controlled trial of a preventive parenting intervention for divorcing families. Children provided reports of their experiences of interparental conflict and internalizing and externalizing problems; mothers provided reports of children’s temperament and internalizing and externalizing problems. The relations were examined separately for child report and mother report of outcomes using multiple regression analyses. Results found no support for the interactive effect of interparental conflict and temperament dimensions on children’s internalizing or externalizing problems. Consistent with an additive model of their effects, interparental conflict and temperament dimensions were directly and independently related to the outcomes. There was a significant, positive effect of interparental conflict and negative emotionality on children’s internalizing and externalizing problems. Positive emotionality was significantly, negatively related to internalizing and externalizing problems. Impulsivity was significantly, positively related to externalizing problems only. The patterns of results varied somewhat across mother and child report of interparental conflict on externalizing problems and positive emotionality on internalizing problems. The results of this study are consistent with the previous research on the significant main effects of interparental conflict and temperament dimensions on children’s internalizing and externalizing problems. These findings suggest that children’s environment and intrapersonal characteristics, represented by children’s experiences of interparental conflict and temperament, both uniquely contribute to children’s post-divorce internalizing and externalizing problems.
ContributorsIngram, Alexandra Marie (Author) / Wolchik, Sharlene (Thesis advisor) / Lemery, Kathryn (Committee member) / Suk, Hye Won (Committee member) / Arizona State University (Publisher)
Created2016
Description
For this thesis a Monte Carlo simulation was conducted to investigate the robustness of three latent interaction modeling approaches (constrained product indicator, generalized appended product indicator (GAPI), and latent moderated structural equations (LMS)) under high degrees of nonnormality of the exogenous indicators, which have not been investigated in previous literature. Results showed that the constrained product indicator and LMS approaches yielded biased estimates of the interaction effect when the exogenous indicators were highly nonnormal. When the violation of nonnormality was not severe (symmetric with excess kurtosis < 1), the LMS approach with ML estimation yielded the most precise latent interaction effect estimates. The LMS approach with ML estimation also had the highest statistical power among the three approaches, given that the actual Type-I error rates of the Wald and likelihood ratio test of interaction effect were acceptable. In highly nonnormal conditions, only the GAPI approach with ML estimation yielded unbiased latent interaction effect estimates, with an acceptable actual Type-I error rate of both the Wald test and likelihood ratio test of interaction effect. No support for the use of the Satorra-Bentler or Yuan-Bentler ML corrections was found across all three methods.
ContributorsCham, Hei Ning (Author) / West, Stephen G. (Thesis advisor) / Aiken, Leona S. (Committee member) / Enders, Craig K. (Committee member) / Arizona State University (Publisher)
Created2010