Robust Means Modeling: An Alternative to Hypothesis Testing Of Mean Equality in the Between-Subjects Design under Variance Heterogeneity and Nonnormality

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dc.contributor.advisorHancock, Gregory R.en_US
dc.contributor.authorFAN, WEIHUAen_US
dc.contributor.departmentMeasurement, Statistics and Evaluationen_US
dc.contributor.publisherDigital Repository at the University of Marylanden_US
dc.contributor.publisherUniversity of Maryland (College Park, Md.)en_US
dc.date.accessioned2006-09-12T05:45:14Z
dc.date.available2006-09-12T05:45:14Z
dc.date.issued2006-07-23en_US
dc.description.abstractThe study describes the various alternatives to the between-subjects ANOVA F test that have been performing reasonably well in the literature under different experimental conditions of sample sizes, variance ratios or nonnormality. Drawing from structural equation modeling (SEM), the robust means modeling (RMM) approach is developed, in which the assumption of variance homogeneity is not part of the model or its estimation. Specifically, univariate structured means modeling (SMM) is applied to the independent groups design with robust estimation strategies such as the Browne's asymptotic distribution free (ADF) estimator (1982, 1984) and its alternatives for non-normal continuous variables in order to achieve robustness to the biasing effects of nonnormality. A Monte Carlo simulation investigation is conducted to compare the Type I error rate and the power of the ANOVA-based methods as well as the proposed RMM approaches. Various factors including variance inequality, sample-size pairings with group variances, and degree of nonnormality are manipulated in the simulation. The results show that the proposed RMM methods are indeed superior to the ANOVA-based methods across conditions, especially when the distribution is asymmetric nonnormal.en_US
dc.format.extent769939 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/1903/3786
dc.language.isoen_US
dc.subject.pqcontrolledEducation, Tests and Measurementsen_US
dc.subject.pqcontrolledStatisticsen_US
dc.subject.pqcontrolledEducation, Tests and Measurementsen_US
dc.subject.pquncontrollededucational tests and measurementen_US
dc.subject.pquncontrolledhypothesis testing of mean equalityen_US
dc.subject.pquncontrolledvariance heterogeneityen_US
dc.subject.pquncontrollednonnormalityen_US
dc.subject.pquncontrolledrobust means modelingen_US
dc.subject.pquncontrolledstructured means modelingen_US
dc.titleRobust Means Modeling: An Alternative to Hypothesis Testing Of Mean Equality in the Between-Subjects Design under Variance Heterogeneity and Nonnormalityen_US
dc.typeDissertationen_US

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