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

Research output: Contribution to journalResearch articleContributedpeer-review

Contributors

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.

Details

Original languageEnglish
Pages (from-to)568-579
Number of pages12
JournalEducational and psychological measurement : EPM ; a bimonthly journal devoted to the development and application of measures of individual differences
Volume82
Issue number3
Early online dateApr 2021
Publication statusPublished - Jun 2022
Peer-reviewedYes

External IDs

PubMed 35444342
Scopus 85104760103
ORCID /0000-0003-1106-474X/work/151436748

Keywords

Keywords

  • Exhaustive population study, Interval estimation, Multilevel analysis, Proportion second-level variance, Proportion third-level variance, Three-level design, Two-level design, multilevel analysis, two-level design, proportion third-level variance, three-level design, interval estimation, exhaustive population study, proportion second-level variance