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INFERENTIAL STATISTICS FOR MULTILEVEL ANALYSIS

The purpose of this study was to compare alternative models for analyzing student learning outcomes. The models were: (a) single equation approach, (b) separate equation approach using actual within-group intercept (actual b(,oj)) and (c) separate equation approach using adjusted within-group intercept (adjusted b(,oj)). The models were compared first under an additive model assumption and then under an interactive model assumption. Basic models, assumptions and procedures were discussed. Data were generated using computer simulation. / The simulation model assumed that the within-group process is represented by the within-group slope and intercept. Those parameters were assumed to be a linear function of the group mean. / One hundred, 500 and 1,000 replications were generated for the additive model, the interactive model assuming an intraclass correlation of 0.2 and the interactive model assuming an intraclass correlation of 0.4, respectively. Each set of replications was analyzed using the three approaches. Sampling distributions for the additive constant (b(,o)), the individual (b(,s)), group (b(,c)) and interaction (b(,sc)) effects were compared. / The results suggested that, for the additive model, the single equation approach and the separate equation approach using adjusted b(,oj) provided unbiased estimates of b(,o), b(,s), and b(,c) with approximately equal sizes for the actual standard errors of the estimates. However, only the separate equation approach using adjusted b(,oj) provided an accurate picture of the actual precision of the estimates. / Results for the interactive model suggested that the separate equation approaches are superior to the single equation approach, in terms of providing equal and unbiased, estimates. However, only the separate equation approach using actual b(,oj) is recommended because it is less costly, both in computer time and personnel time. / Source: Dissertation Abstracts International, Volume: 43-01, Section: A, page: 0147. / Thesis (Ph.D.)--The Florida State University, 1982.

Identiferoai:union.ndltd.org:fsu.edu/oai:fsu.digital.flvc.org:fsu_74725
ContributorsWONGBUNDHIT, YUWADEE., Florida State University
Source SetsFlorida State University
Detected LanguageEnglish
TypeText
Format108 p.
RightsOn campus use only.
RelationDissertation Abstracts International

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