The Variance of Intraclass Correlations in Three- and Four-Level Models

Larry V. Hedges, E. C C Hedberg, Arend M. Kuyper

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

Intraclass correlations are used to summarize the variance decomposition in populations with multilevel hierarchical structure. There has recently been considerable interest in estimating intraclass correlations from surveys or designed experiments to provide design parameters for planning future large-scale randomized experiments. The large sample distribution of estimates of the intraclass correlation in two-level situations is well known. Contemporary educational and social experiments often involve sampling designs with three or four levels of nesting, leading to three- and four-level intraclass correlation structures. The present article provides expressions for the large sample variances and covariances of estimates of three- and four-level intraclass correlation structures.

Original languageEnglish (US)
Pages (from-to)893-909
Number of pages17
JournalEducational and Psychological Measurement
Volume72
Issue number6
DOIs
StatePublished - 2012
Externally publishedYes

Fingerprint

Intraclass Correlation
Population
Correlation Structure
Experiments
experiment
Variance Decomposition
Randomized Experiments
Sample variance
Model
Sampling Design
Sampling
Decomposition
Planning
Hierarchical Structure
Parameter Design
Estimate
Experiment
Surveys and Questionnaires
planning

Keywords

  • intraclass correlation
  • multilevel models
  • standard errors

ASJC Scopus subject areas

  • Applied Mathematics
  • Applied Psychology
  • Developmental and Educational Psychology
  • Education

Cite this

The Variance of Intraclass Correlations in Three- and Four-Level Models. / Hedges, Larry V.; Hedberg, E. C C; Kuyper, Arend M.

In: Educational and Psychological Measurement, Vol. 72, No. 6, 2012, p. 893-909.

Research output: Contribution to journalArticle

Hedges, Larry V. ; Hedberg, E. C C ; Kuyper, Arend M. / The Variance of Intraclass Correlations in Three- and Four-Level Models. In: Educational and Psychological Measurement. 2012 ; Vol. 72, No. 6. pp. 893-909.
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