Item Response Theory Models for Multidimensional Ranking Items

Item Response Theory Models for Ipsative Tests With Multidimensional Pairwise Comparison Items

“…Ranking items are very common (e.g., the SOV), and they include pairwise comparison items as special cases. Recently, the RIM has been successfully generalized to accommodate multidimensional ranking items (Wang et al, 2016). Second, it is desirable to add covariates to the RIM to explain the item and person parameters directly, known as the explanatory IRT approach (De Boeck & Wilson, 2004).…”

“…A series of simulations were conducted to evaluate the parameter recovery of the RIM. Similar to previous studies (e.g., Brown & Maydeu-Olivares, 2011; Wang, Qiu, Chen, & Ro, 2016), four variables were manipulated: (a) number of dimensions: D = 2, 3, 5; (b) number of statements in each dimension: L = 6 and 12; (c) sample size: N = 500 and 1,000; and (d) linking design: complete linking and minimum linking. In the complete linking, each statement was paired with all statements in other dimensions, resulting in a maximum number of items of ( left center T center1 2 ) − ∑ d = 1 D ( left center L center1 2 ) , where T is the total number of statements and L is defined as above.…”

“…In the complete linking, each statement was paired with all statements in other dimensions, resulting in a maximum number of items of ( left center T center1 2 ) − ∑ d = 1 D ( left center L center1 2 ) , where T is the total number of statements and L is defined as above. The minimum linking was adapted from the balanced incomplete block method (Johnson, 1992), where each statement is paired twice, as shown in Figure 1 of Wang et al (2016).…”

Item Selection and Exposure Control Methods for Computerized Adaptive Testing with Multidimensional Ranking Items

“…This expression is the generalized logit IRT (GLIRT) model for multidimensional ranking items (W.‐C. Wang et al., ). In this model, the probabilities of K !…”

Assessment of Differential Statement Functioning in Ipsative Tests With Multidimensional Forced-Choice Items

“…Models developed within the dominant framework assume that the higher a respondent’s location on a trait and the larger the statement’s utility (attractiveness), the larger the probability of the respondent to select the statement. The models include the Thurstonian IRT models (Brown & Maydeu-Olivares, 2011, 2013) and the Rasch ipsative models (RIM; Wang et al, 2016, 2017). Models developed within the ideal point framework include Zinnes and Griggs (ZG) models for unidimensional pairwise-comparison items (Stark & Drasgow, 2002), multi-unidimensional pairwise-preference (MUPP) model for multidimensional pairwise-comparison items (Stark et al, 2005), and generalized graded unfolding model for multidimensional ranking items (GGUM-RANK; Joo et al, 2018).…”