Exact(26)
The model represents the item response function for the 1 – Parameter Logistic Model predicting the probability of a correct response given the respondent's ability and difficulty of the item.
The elements available for selection can be specified in the item definition the difficulty of the item thus can be tuned.
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).
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 ).
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).
If, however, the same item was administered at the 45th position (i.e., the last question) on the test, then the estimated difficulty of the item would become (- 3.244 + (45 *.037) = - 1.579).
Similar(34)
When considering the correlation between the importance and difficulty of the items and variables, the participants show different concerns on the most important and most difficult items while hold similar opinions on the most important and most difficult variables.
We next consider the difficulty of the items for the eight-dimensional model (Table 4).
The difficulty of the items indicate the probability of choosing it in function of the level of the latent trait.
In the current analysis the difficulty of the items were free to vary, while the mean was fixed in zero.
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.
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