The phrase "a function of item" is not correct in standard written English.
It may be intended to describe a relationship or role that an item plays in a particular context, but it lacks clarity and specificity.
Example: "The price is a function of item demand and supply in the market."
Alternatives: "a characteristic of the item" or "a role of the item".
In the field of survey research, Couper and Kreuter ([2013]) modeled the RT of a question as a function of item characteristics, respondent characteristics, and interviewer characteristics.
This indicates that the latent linear score for subject i on item j at time t is a function of item effects β j, and person effects θ it and μ t.
However, mean baseline scores for procedures were not 0 (likely a function of item descriptors for a "0" score) and the mean difference increased across phases for children with baseline scores >3, which was much lower than for children with scores <3 (P = .0001).0001
The mean response probabilities for each category of subjective report are shown in Figure 1 as a function of Item and Prime.
Although it is true that alpha is a function of item inter-correlation, it is believed that alpha is also affected by the number of items; lower number of items result in lower alpha, as proven by Cortina [ 59].
Figure 6 shows the proportion of students choosing the most popular wrong answer out of the total number of students choosing any wrong answer as a function of item difficulty.
In brief, invariance refers to the fact that the scores for persons should not be a function of specific items, and vice versa, item parameters should not be affected by specific persons in the sample [ 18].
* Per item only the highest loadings were presented; ** Cronbach's alpha (standardized), based on the items given in the factor loading matrix; this is a function of the item-inter-correlation and of the number of items included in the scale.
In this study, each individual's standard deviation was derived from the two total test scores (standardized) as well as a function of the items on each of these tests singly.
The Rasch model is a probabilistic model that asserts that item response is a logistic function of item difficulty and person ability [ 23].
Rasch models characterize the responses of persons to items as a function of person and item measures.
