{smcl} {* *! version 1.0 07Apr2015} {cmd:help relicoef} {hline} {title:Title} {p2colset 5 16 18 2}{...} {p2col :{hi:relicoef }{hline 1}}Raykov's factor reliability coefficient{p_end} {p2colreset}{...} {title:Description} {bf:relicoef} computes Raykov's reliability coefficient (RRC) for factors from confirmatory factor analyses, a measure which is commonly seen as a more accurate one than that of Cronbach's alpha which is computed based on the assumption of tau-equivalent measures. Raykov (1997) proposes two different formulas for estimating reliability coefficients which {bf:relicoef} employs for the computation: {bf:For factors without correlated errors (no error covariance)} RRC = (Sum of unstandardised loadings squared)*(factor variance)/ (Sum of unstandardised loadings squared)*(factor variance) + (Sum of unstandardised error variances) {bf:For factors with correlated errors (at least one error covariance)} RRC = (Sum of unstandardised loadings squared)*(factor variance)/ (Sum of unstandardised loadings squared)*(factor variance) + (Sum of unstandardised error variances) + (2*Sum of unstandardised error covariances) KW: factor KW: reliability KW: coefficient KW: scale {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 item25 item32": . keep item13 item14 item15 item25 item32}{p_end} {phang}{stata "qui sem (Factor1 -> item13 item14 item15) (Factor2 -> item25 item32)": . qui sem (Factor1 -> item13 item14 item15) (Factor2 -> item25 item32)}{p_end} {phang}{stata "relicoef": . relicoef}{p_end} {phang}{stata "qui sem (Factor1 -> item13 item14 item15) (Factor2 -> item25 item32), cov(e.item13*e.item15)": . qui sem (Factor1 -> item13 item14 item15) (Factor2 -> item25 item32), cov(e.item13*e.item15)}{p_end} {phang}{stata "relicoef": . relicoef}{p_end} {title:Author} Mehmet Mehmetoglu Department of Psychology Norwegian University of Science and Technology mehmetm@svt.ntnu.no {title:References} Raykov, T. (1997). Estimation of composite reliability for congeneric measures. Applied Psychological Measurement, 21, 173-184.