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The two-principal-components model (8 resp. 2 items) exhibits the attractive feature of unambiguousness in factor loading.
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I saw boxes full of gold, items exhibiting the very finest Anglo-Saxon workmanship.
We found that enumerating large number (>4 items), but not small number (<4 items), exhibited the bilateral field advantage: enumeration was more accurate when the visual items were split between the left and right hemifields than when they were all presented within the same hemifield.
The item exhibiting the highest correlation with the ADLs was considered the principal variable, while the remainder was treated as modifying variables.
Thirdly and interestingly, the area in the immediate vicinity of the items exhibits an even lower match than the background.
They suggest that a systematic mechanism to interpret DIF results is required and that despite the lack of specificity for the interpretation of items exhibiting DIF, the process of checking for its existence should not be ignored.
The correlation matrix showed no extreme multicollinearity or singularity: the majority of items exhibited correlations >0.3 the highest correlation between items was 0.78, and the determinant of the correlation matrix was greater than 0.001.
Since the distributions of the positive affects items exhibited plateau-shaped patterns, the percentage of the positive affects score relative to the total depressive symptoms score would decrease with an increasing total CES-D score.
As shown in the excerpts of the model estimates for the two models (Additional file 1: Figure S1) and (Additional file 2: Figure S2), all parameter estimates of the individual items exhibited positive correlations with the latent variables, and none of the parameter estimates was implausible.
Since the 16 negative items exhibited exponential patterns between the 'Some' and 'Most' response levels, the total CES-D score may follow an exponential curve over this range of specific CES-D scores.
The high number of items exhibiting floor/ceiling effects and the non-normality of the ratings suggested that a 5-points rating scale was somewhat inappropriate to assess the patients' experience of care.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com