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In the case of mathematics, we see a similar picture in the case of item dependence on mathematical formulas.
For TIMSS Advanced mathematics item dependence on mathematical theorems, we obtain a result which seems to form an interesting exception to the general pattern described above.
Besides the strong qualitative verification of the dimensionality that comes along with the assignment of the partial credits, the main reason to include just one item per scenario in the IRT analysis is to avoid local item dependence (LID).
High item dependence in the Impact Domain included item I_d6, I_e2, I_e8, I_h2, I_h3, I_h5.
Item dependence arises, as explained by Bakazs and de Boeck [ 5] from two main sources: item chains; and item overlap.
High positive correlation between residuals provides evidence of local item dependence and high negative correlations is thought to indicate multidimensionality.
Similar(45)
The AUDIT has 10 items covering 3 different aspects of drinking: alcohol use (first 3 items), dependence (next 3 items), and other consequences of drinking (last 4 items) [ 27].
Three AUDIT subscale scores were calculated to measure alcohol consumption (AUDIT items 1-3), dependence (items 4-6) and problems (or adverse consequences) (items 7-10) [ 72, 75].
The prevalence of six item ADL dependence and five item ADL dependence was estimated to allow comparison with prevalence of ADL disability reported in other studies.
The instrument is administered in three steps, utilizing a combination of interview and observation: the first step targets the individual by assessing the presence of functional limitations (12 items) and dependence on mobility devices (2 items).
However, 11 potentially misfitting items and 18 items with local dependence to other items are candidates for removal in future item reduction processes.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com