Transcription of Factor Analysis
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Factor AnalysisNathaniel E. HelwigAssistant Professor of Psychology and StatisticsUniversity of Minnesota (Twin Cities)Updated 16-Mar-2017 Nathaniel E. Helwig (U of Minnesota) Factor AnalysisUpdated 16-Mar-2017 : Slide 1 CopyrightCopyrightc 2017 by Nathaniel E. HelwigNathaniel E. Helwig (U of Minnesota) Factor AnalysisUpdated 16-Mar-2017 : Slide 2 Outline of Notes1) BackgroundOverviewFA vs PCA2) Factor Analysis ModelModel FormParameter EstimationFactor RotationFactor Scores3) Some ExtensionsOblique Factor ModelConfirmatory Factor Analysis4) Decathlon ExampleData OverviewEstimate Factor LoadingsEstimate Factor ScoresOblique RotationNathaniel E. Helwig (U of Minnesota) Factor AnalysisUpdated 16-Mar-2017 : Slide 3 BackgroundBackgroundNathaniel E.
Factor Analysis Model Parameter Estimation Maximum Likelihood Estimation for Factor Analysis Suppose xi iid˘ N( ;LL0+ ) is a multivariate normal vector. The log-likelihood function for a sample of n observations has the form LL( ;L; ) = nplog(2ˇ) 2 + nlog(j n1j) 2 P i=1 (xi ) 0 1(x i ) 2 where = LL0+ . Use an iterative algorithm to maximize LL.
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