In their recent article "A new criterion for assessing discriminant validity in variance-based structural equation modeling" (Henseler/Ringle/Sarstedt, 2015: 131) state:
Does this mean one should refrain from using cross-loadings to assess formative constructs discriminant validity. And if so, have alternative measures already been developed in the meantime?Prior literature gives practically no recommendations on how to assess the discriminant validity of formatively measured constructs. One of the few exceptions is the research by Klein and Rai (2009), who suggest examining the crossloadings of formative indicators. Analogous to their reflective counterparts, formative indicators should correlate more highly with their composite construct score than with the composite score of other constructs. However, considering the poor performance of cross-loadings in our study, its use in formative measurement models appears questionable. Against this background, future research should seek alternative means to consider formatively measured constructs when assessing discriminant validity.
I would highly welcome your suggestions.
Best regards,
Judith