Open AccessMULTIVARIATE VARIANCE COMPONENT ANALYSIS: AN APPLICATION IN TEST DEVELOPMENT
Author(s) -
Longford Nicholas T.
Publication year - 1982
Publication title -
ets research report series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.235
H-Index - 5
ISSN - 2330-8516
DOI - 10.1002/j.2333-8504.1982.tb01332.x
Subject(s) - multivariate analysis of variance , multivariate statistics , statistics , variance (accounting) , one way analysis of variance , multivariate analysis , multilevel model , variance components , analysis of variance , test (biology) , data matrix , principal component analysis , rank (graph theory) , trait , hierarchical clustering , variance inflation factor , cluster analysis , psychology , component analysis , component (thermodynamics) , regression analysis , mathematics , computer science , business , chemistry , biology , paleontology , biochemistry , accounting , thermodynamics , programming language , multicollinearity , clade , physics , combinatorics , gene , phylogenetic tree
We present a multilevel variance component analysis of data from the pilot year of pretesting of an educational test. The multilevel nature of the data is induced by the clustering of students within colleges, and by having multivariate observations (scores) on students. The presence of a multidimensional trait underlying the scores is formulated as a hypothesis about the full rank of a variance matrix.