title: Proportion of general factor variance in a hierarchical multiple-component measuring instrument: a note on a confidence interval estimation procedure.
abstract: A confidence interval construction procedure for the proportion of explained variance by a hierarchical, general factor in a multi-component measuring instrument is outlined. The method provides point and interval estimates for the proportion of total scale score variance that is accounted for by the general factor, which could be viewed as common to all components. The approach may also be used for testing composite (one-tailed) or simple hypotheses about this proportion, and is illustrated with a pair of examples.
authors.affiliation: Michigan State University, East Lansing, Michigan, USA. raykov@msu.edu
authors.forename: Tenko
authors.initials: T
authors.lastname: Raykov
authors.forename: Richard E
authors.initials: RE
authors.lastname: Zinbarg
mesh_terms: D000293:Adolescent; D000704:Analysis of Variance; D001008:Anxiety Disorders / Q000175:diagnosis / Q000523:psychology; D001525:Behavioral Sciences / Q000706:statistics & numerical data*; D016001:Confidence Intervals; D003866:Depressive Disorder / Q000175:diagnosis / Q000523:psychology; D005163:Factor Analysis, Statistical; D005260:Female; D006801:Humans; D008137:Longitudinal Studies; D008297:Male; D015233:Models, Statistical; D009497:Neurotic Disorders / Q000175:diagnosis / Q000523:psychology; D025341:Principal Component Analysis; D011581:Psychological Tests / Q000706:statistics & numerical data*; D011584:Psychology / Q000706:statistics & numerical data*; D011594:Psychometrics / Q000706:statistics & numerical data; D015203:Reproducibility of Results; D012307:Risk Factors