零点知识库kano.pptVIP

All about variable selection in factor analysis and structural equation modeling Yutaka Kano Osaka University School of Human Sciences Today’s talk Motivation for variable selection How SEFA (and SCoFA) works Derivation of the statistics Theoretical property What does variable selection with model fit mean? Summary Needs for variable selection Variable selection in EFA is an important but time-consuming process Composite scale construction Reliability analysis Variable selection in SEM should be less important but … Indicator selection Improvement of model fit Recent literature Little et. al. (1999). On selecting indicators for multivariate measurement and modeling with latent variables. Psychological Methods, 4, 192-211. Fabrigar et. al. (1999). Evaluating the use of EFA in psychological research. Psychological Methods, 4, 272-299. Kano et. al. (in press, 2000, 1994). Procedures for variable selection in EFA Usual procedure Magnitude of communalities Interpretability Towards simple structures Our approach Model fit Programs for variable selection in factor analysis Exploratory analysis SEFA(Stepwise variable selection in EFA) http://koko15.hus.osaka-u.ac.jp/~harada/sefa2001/stepwise/ Confirmatory analysis SCoFA(Stepwise Confirmatory FA) http://koko16.hus.osaka-u.ac.jp/~harada/scofa/input.html Example_1 A questionnaire on perception on physical exercise n=653, p=15, one-factor model Data was collected by Dr Oka (Waseda U.) Conclusion Remove X2, X9, X13, X14 Example_2 Example_3 Example_4 Example_5 Example_6 SCoFa:24 Pschological variable Original Model (p=24) Theory of SEFA and SCoFA Known quantities and goal_1 Known quantities and goal_2 Basic idea Final formula for T2 Properties_1 Question 1 Can T2 work even if X1 is inconsistent? Estimate for Θ is biased. Properties_2 Question 2 Can SEFA identify an uncorrelated variable? Unfortunately, no We have developed a way of testing zero communality in SEFA (see Harada-Kano, IMPS) Question 3 What is the actual meani