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What restricts the usefulness of a form is not the absolute difficulty of pulling it off once.
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True positives were predicted by CAT item usage, absolute item difficulty and item discrimination.
True positive rates were primarily predicted by CAT item usage, absolute item difficulty and item discrimination.
There are two likely explanations for the observed relationship between absolute item difficulty and power in DIF detection.
CAT item usage was found to be the single best predictor of detecting simulated mode effects, followed by absolute item difficulty.
This would likely explain why absolute item difficulty was a significant predictor of power even after controlling for CAT item usage.
It is noteworthy that both CAT item usage and absolute item difficulty were significant predictors in the multivariate models given that these variables are strongly and negatively correlated (r=−.67), indicating that items of high and low difficulty are administered less frequently by CAT.
ROC analyses at the univariate level revealed that CAT item usage was most predictive of correct DIF decisions (AUCs=0.94 and 0.92 for RZ and Δ CrI, respectively) followed by absolute item difficulty (AUCs=0.85 and 0.83 for RZ and Δ CrI, respectively).
The curious thing is, the one similarity is the absolute importance and difficulty of getting the right passes.
Preliminary analyses revealed that absolute values of item difficulty better predicted correct DIF detection, whereas signed item difficulty values more accurately predicted incorrect DIF decisions.
Almost every defender of absolute pacifism recognizes the difficulty of attaining to the absolute idea.
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