Multivariate Behavioral Research · 1991 · 80 citations · 37 references
Social SciencesEducational MeasurementGeneralizability TheoryItem Response TheoryPsychometricsFactor AnalysisFactor ModelsStructural Equation ModelingFactor Analytic ModelsFactor Score EstimationLoadingsRotation Criteria
Practical theoretic means for assessing the sampling variability of loadings estimated by exploratory factor analytic procedures have not been readily available in the absence of restrictive distributional assumptions. It has been necessary for researchers to interpret these point estimates (loadings) through the use of arbitrary rules-of-thumb. Under these conditions, loading interpretations may be problematic. A method is presented for exploiting information in the empirical data, collected for a study's primary goals, to approximate confidence intervals for factor loadings, The method appears generalizable across factor methods, numbers of extracted factors, and rotation criteria.
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Better Bootstrap Confidence Intervals
Bradley Efron · Journal of the American Statistical Association · 1987 · 3.3K citations
Some Asymptotic Theory for the Bootstrap
Peter J. Bickel, David A. Freedman · The Annals of Statistics · 1981 · 1.7K citations · Full text
On the Asymptotic Accuracy of Efron's Bootstrap
Kesar Singh · The Annals of Statistics · 1981 · 770 citations · Full text