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finnigan posted on Thursday, January 21, 2010  6:57 am



Hi there I would like to ask about the impact of cross loadings in a multiple indicator growth model. An set of measures under a CFA showed a five factor model.If there are cross loadings of items between the factors, what would be the implication of running a multiple indicator growth model using one of the factors. However this factor's items might load on another factor in the CFA,but that factor is not explicity included in the growth model? For example, 10 items load on one factor , but 3 of those items might crossload on factor two. If one is looking to examine growth in factor one, using a growth model, what implications does the cross loadings have? 


Because those 3 items load on a second factor, using one factor implies that the residuals of those 3 items are correlated (they correlate beyond a single factor). See Modification Indices. You could include those residual correlations. 


Hi how can I compute unique Rsquared in crossloading? Assume that y1 crossload on F1 and F2. Mplus report one Rsquared value for y1. How can I compute % variance in y1 explained by F1 and % by F2? 


Each dependent variable gets one Rsquare. It cannot be divided up because the covariates are correlated. 

Jenna Ward posted on Tuesday, April 12, 2016  8:12 pm



Why doesn't the sum of the squared factor loadings add up to the R squared for a cross loading indicator? 


Because the factors are correlated which adds covariance terms to the explained variance. 

Jenna Ward posted on Wednesday, April 13, 2016  1:10 pm



Thanks! Is it ok to square the factor loading and interpret that as the percent of variance accounted for by that factor in the cross loading indicator? 


No, only if the factors are uncorrelated (and have variance 1). 

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