Evaluation of Second- and Third-Level Variance Proportions in Multilevel Designs With Completely Observed Populations: A Note on a Latent Variable Modeling Procedure. (June 2022)

• Record Type: Journal Article
• Authors: Raykov, Tenko; Menold, Natalja; Leer, Jane
• Is Part Of: Educational and psychological measurement. Volume 82:Number 3(2022)
• Page Start: 568
• Page End: 579
• Publication Date: 2022-06
• Subjects: exhaustive population study -- interval estimation -- multilevel analysis -- proportion second-level variance -- proportion third-level variance -- two-level design -- three-level design; Educational tests and measurements -- Periodicals; Psychological tests -- Periodicals; 151.205
• DOI: 10.1177/00131644211008643
• Languages: English
• ISSNs: 0013-1644

Abstract

Two- and three-level designs in educational and psychological research can involve entire populations of Level-3 and possibly Level-2 units, such as schools and educational districts nested within a given state, or neighborhoods and counties in a state. Such a design is of increasing relevance in empirical research owing to the growing popularity of large-scale studies in these and cognate disciplines. The present note discusses a readily applicable procedure for point-and-interval estimation of the proportions of second- and third-level variances in such multilevel settings, which may also be employed in model choice considerations regarding ensuing analyses for response variables of interest. The method is developed within the framework of the latent variable modeling methodology, is readily utilized with widely used software, and is illustrated with an example.