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We next consider the difficulty of the items for the eight-dimensional model (Table 4).
In the current analysis the difficulty of the items were free to vary, while the mean was fixed in zero.
The difficulty of the items indicate the probability of choosing it in function of the level of the latent trait.
As the table shows, there is no clear pattern in difficulty of the items according to tier, because both tiers have average item difficulty estimates that are negative.
Having accepted the 4-dimensional model according to overall model fit and item fit, we then consider the difficulty of the items (Table 2).
The location of point 0 in the scale is arbitrary, although it is usually placed in the average difficulty of the items.
Similar(25)
In the Rasch model, answering an item correctly is a function of the individual's ability (θ n ) and of the difficulty of the item (δ i ).
The elements available for selection can be specified in the item definition the difficulty of the item thus can be tuned.
If item 26 was administered in the first position on the test, then the estimated difficulty of the item would become (- 3.244 + (1 *.037) = - 3.207).
For the students who received passage 5 in the first position on the test, the estimated difficulty of the item becomes (- 2.228 + left( {1*.08} right) = - 2.148).
This is accomplished by considering the difficulty of the item on a continuum, the participant's response to that item (ability), and the probability that a participant will choose a response (Boone et al. 2014).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com