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. Author manuscript; available in PMC: 2017 Jun 29.
Published in final edited form as: Multivariate Behav Res. 2016 Nov 11;52(1):12–30. doi: 10.1080/00273171.2016.1245600

Table 1.

Model constraints of product indicator methods.

Model constraint Constrained product indicator (CPI) Generalized appended product indicator (GAPI) Unconstrained product indicator (UPI)
Mean of ξ1ξ2
Variance and covariances of ξ1ξ2 × ×
Factor loadings of product indicators ×
Unique factor variances of product indicators ×
Unique factor covariances of product indicators