{smcl} {* *! version 1.0 10March2015} {cmd:help fsdet} {hline} {title:Title} {p2colset 5 16 18 2}{...} {p2col :{hi:fsdet }{hline 2}}Factor score determinacy coefficient{p_end} {p2colreset}{...} {title:Description} {bf:fsdet} computes determinacy coefficient for a factor score obtained from a common factor model (exploratory or confirmatory factor analysis) using the following formula to find in Beauducel's (2011) work: mat A = Phi*Lambda'*inv(Sigma)*Lambda*Phi (Phi, Lambda and Sigma represent their respective matrices) sqrt(A[diag]) The value resulting from this formula represents the correlation between the factor score estimate and its factor. According to Gorsuch (1983) this coefficient should be >= 0.90 if the factor score is to be used as a substitute for the factor itself. KW: factor KW: score KW: indeterminacy {title:Examples} {phang}{stata "use http://www.ats.ucla.edu/stat/stata/output/m255, clear": . use http://www.ats.ucla.edu/stat/stata/output/m255, clear}{p_end} {phang}{stata "keep item13 item14 item15 item16 item27 item39": . keep item13 item14 item15 item16 item27 item39}{p_end} {phang}{stata "qui factor item13 item14 item15 item16 item27 item39, factors(2)": . qui factor item13 item14 item15 item16 item27 item39, factors(2)} (without rotation){p_end} {phang}{stata "fsdet": . fsdet}{p_end} {phang}{stata "qui factor item13 item14 item15 item16 item27 item39, ml factors(2)": . qui factor item13 item14 item15 item16 item27 item39, ml factors(2)}{p_end} {phang}{stata "qui rotate, equamax": . qui rotate, equamax} (orthogonal rotation){p_end} {phang}{stata "fsdet": . fsdet}{p_end} {phang}{stata "qui factor item13 item14 item15 item16 item27 item39, ipf factors(2)": . qui factor item13 item14 item15 item16 item27 item39, ipf factors(2)}{p_end} {phang}{stata "qui rotate, promax": . qui rotate, promax} (oblique rotation){p_end} {phang}{stata "fsdet": . fsdet}{p_end} {phang}{stata "qui sem (F1->item13 item14 item15 item16) (F2->item27 item39)": . qui sem (F1->item13 item14 item15 item16) (F2->item27 item39)} (rotation is not needed){p_end} {phang}{stata "fsdet": . fsdet}{p_end} {title:Author} Mehmet Mehmetoglu Department of Psychology Norwegian University of Science and Technology mehmetm@svt.ntnu.no {title:References} Beauducel, A. (2011). Indeterminacy of Factor Score Estimates In Slightly Misspecified Confirmatory Factor Models. Journal of Modern Applied Statistical Methods, 10(2), 583-598. Gorsuch, R. L. (1983). Factor analysis. Hillsdale, N.J.: L. Erlbaum Associates.