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and 3 present the results addressing the fourth research questions

and 3 present the results addressing the fourth research questions

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The study investigated the invariance properties of one, two and three parameter logistic item response theory models. It examined the best fit among one parameter logistic (1PL), two-parameter logistic (2PL) and three-parameter logistic (3PL) IRT models for SSCE, 2008 in Mathematics. It also investigated the degree of invariance of the IRT models...

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Context 1
... this indicated that the 2PL model results in a 1.89% improvement fit over the 1PL model. The 3PL model relative change, R 2 ∆ = 0.0018 (0.18%), this showed that 3PL model results in an improvement of fit of 0. Table 2 presents the n=1000 data while Table 3 presents the n=100 data. ...
Context 2
... obtain the entries in Table 2 and 3, the following two steps were taken: (a) for each of the 1000 and 100 samples, the IRT one parameter, two parameter and three parameter models estimates and CTT estimates were obtained; (b) for each sample the CTT-and IRT-based item difficulty estimates were correlated with opposing estimates within the sampling plan (e.g., males ...
Context 3
... each of the 1000 high-ability samples was correlated with the corresponding low-ability sample. Table 2 showed that both the CTT p and transformed CTT p were strong invariance for the random sampling plan (r = 0.992). The IRT-based item difficulty estimates for one-parameter also indicated strong signs of invariance (r= 0.991). ...