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Description
Daily dairies and other intensive measurement methods are increasingly used to study the relationships between two time varying variables X and Y. These data are commonly analyzed using longitudinal multilevel or bivariate growth curve models that allow for random effects of intercept (and sometimes also slope) but which do not

Daily dairies and other intensive measurement methods are increasingly used to study the relationships between two time varying variables X and Y. These data are commonly analyzed using longitudinal multilevel or bivariate growth curve models that allow for random effects of intercept (and sometimes also slope) but which do not address the effects of weekly cycles in the data. Three Monte Carlo studies investigated the impact of omitting the weekly cycles in daily dairy data under the multilevel model framework. In cases where cycles existed in both the time-varying predictor series (X) and the time-varying outcome series (Y) but were ignored, the effects of the within- and between-person components of X on Y tended to be biased, as were their corresponding standard errors. The direction and magnitude of the bias depended on the phase difference between the cycles in the two series. In cases where cycles existed in only one series but were ignored, the standard errors of the regression coefficients for the within- and between-person components of X tended to be biased, and the direction and magnitude of bias depended on which series contained cyclical components.
ContributorsLiu, Yu (Author) / West, Stephen G. (Thesis advisor) / Enders, Craig K. (Committee member) / Reiser, Mark R. (Committee member) / Arizona State University (Publisher)
Created2013
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Description
The purpose of this study was to investigate the attitudes of high band directors in the United States toward solo and ensemble activities. Independent variables such as teaching experience, level of education, MENC region in which directors taught, personal solo and ensemble activity experience, teaching assignment, and director-centered external factors

The purpose of this study was to investigate the attitudes of high band directors in the United States toward solo and ensemble activities. Independent variables such as teaching experience, level of education, MENC region in which directors taught, personal solo and ensemble activity experience, teaching assignment, and director-centered external factors (supplemental contracts, teaching evaluations, program awards) were used to investigate potential differences in attitudinal responses. Subjects were high school band directors (N = 557) chosen through a stratified random sample by state. Participation in the study included completing an online researcher-designed questionnaire that gathered demographic information as well as information regarding directors' attitudes towards benefits from student participation in solo and ensemble activities, the importance of such activities to directors, and attitudes towards student participation in local, regional, and state solo and ensemble festivals and contests. One-way analyses of variance and two-way multivariate analyses of variance were conducted to investigate potential differences in responses according to various independent variables. Significant differences were found in responses to statements of the importance of solo and ensemble to directors and of solo and ensemble festivals and contests according to region, solo and ensemble experience, and director-centered external factors. No significant differences were found for statements of director's attitudes toward benefits of student participation in solo and ensemble activities according to any independent variables. Results indicate that directors understand and believe strongly in the benefits of solo and ensemble activities to students, but factors such as time, job demands, band program expectations, and festival and contest adjudication, format, and timing may hinder directors' inclusion of solo and ensemble activities as an integral part of their program. Further research is suggested to investigate directors' attitudes within individual states as well as ways to integrate solo and ensemble activities into daily band rehearsals.
ContributorsMeyers, Brian D (Author) / Sullivan, Jill (Thesis advisor) / Busg, Jeffrey (Committee member) / Schmidt, Margaret (Committee member) / Stauffer, Sandra (Committee member) / Tobias, Evan (Committee member) / Arizona State University (Publisher)
Created2011
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Description
The comparison of between- versus within-person relations addresses a central issue in psychological research regarding whether group-level relations among variables generalize to individual group members. Between- and within-person effects may differ in magnitude as well as direction, and contextual multilevel models can accommodate this difference. Contextual multilevel models have been

The comparison of between- versus within-person relations addresses a central issue in psychological research regarding whether group-level relations among variables generalize to individual group members. Between- and within-person effects may differ in magnitude as well as direction, and contextual multilevel models can accommodate this difference. Contextual multilevel models have been explicated mostly for cross-sectional data, but they can also be applied to longitudinal data where level-1 effects represent within-person relations and level-2 effects represent between-person relations. With longitudinal data, estimating the contextual effect allows direct evaluation of whether between-person and within-person effects differ. Furthermore, these models, unlike single-level models, permit individual differences by allowing within-person slopes to vary across individuals. This study examined the statistical performance of the contextual model with a random slope for longitudinal within-person fluctuation data.

A Monte Carlo simulation was used to generate data based on the contextual multilevel model, where sample size, effect size, and intraclass correlation (ICC) of the predictor variable were varied. The effects of simulation factors on parameter bias, parameter variability, and standard error accuracy were assessed. Parameter estimates were in general unbiased. Power to detect the slope variance and contextual effect was over 80% for most conditions, except some of the smaller sample size conditions. Type I error rates for the contextual effect were also high for some of the smaller sample size conditions. Conclusions and future directions are discussed.
ContributorsWurpts, Ingrid Carlson (Author) / Mackinnon, David P (Thesis advisor) / West, Stephen G. (Committee member) / Grimm, Kevin J. (Committee member) / Suk, Hye Won (Committee member) / Arizona State University (Publisher)
Created2016