The phrase "a correlated factor" is correct and usable in written English.
It can be used when discussing relationships between variables or elements in a study or analysis.
Example: "In our research, we found that a correlated factor was the level of education, which influenced income levels."
Alternatives: "a related variable" or "an associated element".
These included a correlated factor model, a common pathway model, and an independent pathway model.
Nonetheless, our analysis did not identify norepinephrine administration as a correlated factor [ 20].
To gain more insight into the uni- or bi-dimensionality of optimism and pessimism, we fitted a correlated factor model to the data.
In addition, we analyzed the optimism and pessimism subscales simultaneously in a correlated factor model to test for overlap and differences in genetic and environmental influences.
So as to not give precedence to the latent variables underlying the first factor (here: parents' ratings), a correlated factor solution of the Cholesky model is presented.
To test for a possible distinction between a cognitive and affective component for SWB a correlated factor model, for the A, D, and E structure separately, was fitted to the data (see Fig. 3).
Testing multivariate quantitative and qualitative heterogeneity based on a correlated factors approach (Neale et al. 2006) showed no qualitative sex differences in the variance estimates (ref. models II IV in Table 8).
Since in the case of modeling multiple informants the order of entry of the variables into the model is insubstantial, a correlated factors solution was employed to secure that the order of the variables would not affect the estimates (Neale et al. 2006; Rijsdijk 2011).
Preliminary univariate analyses (within informant) using a correlated factors model (S*R*S') (Gaussian decomposition) showed no deviation from the basic assumption of equality of means and variances across twins and across zygosity groups in any of the informants' scores (results of data preparation analyses are available upon request).
A bivariate correlated factor model revealed two dimensions with a genetic correlation of −.57 (CI −.67, −.47), while the non-shared environmental correlation was estimated to be −.21 (CI −.25, −.16).
An EFA suggested a three correlated factor model.
