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. 2019 Dec 4;30(4):2465–2477. doi: 10.1093/cercor/bhz252

Table 1.

Differences in explained variance with and without latent interaction

Original model Latent moderation model Difference
Model βYX1 βYX2 R 2 βYX1 βYX2 βX1X2 R 2 ΔR2
No covariates 0.452 0.290 0.074 0.372    0.293 0.486 0.110 0.036
Age 0.426 0.030 0.038 0.358    0.048 0.479 0.077 0.040
Age, sex 0.416 0.019 0.036 0.297 −0.050 0.461 0.060 0.025
Age, sex, and education 0.391 0.024 0.032 0.227 −0.273 0.483 0.050 0.017

Note. R2 and ΔR2 (i.e., change in R2) were calculated using the formula provided by Maslowsky et al. (2015). βYX1: SEM model parameter for regression path to verbal learning slope latent factor from latent factor WM (X1). βYX2: SEM model parameter for regression path to verbal learning slope factor from latent factor HC (X2). βX1X2: Covariance between the factors for HC and WM. R2 values reflect only variance in verbal learning slope factor explained by the two latent factors WM (X1) and HC (X2), and by their latent interaction. ΔR2: difference in R2 values with and without latent interaction. In covariate models, R2 estimates reflect the inclusion of age, sex, and education.