Detection of Aberrant Response Patterns and Their Effect on Dimensionality

Combining computer adaptive testing technology with cognitively diagnostic assessment

“…cedure to achieve the best of both worlds. Although this study was conducted using the fusion model's framework for cognitive diagnosis, the procedure can be generalized to any diagnostic model that estimates the attribute states of the examinees, such as the noisy inputs deterministic "and" gate model (see Maris, 1999), the generalized latent trait model (Embretson, 1984), or the rule space method (Tatsuoka & Tatsuoka, 1982). additional constraints), an item selection method based on the current single-score estimates will suffice.…”

“…Since the variables are discrete, K( f, g) is computed as a sum over all possible attribute patterns; then the sum is taken across all possible attribute patterns. Thus, the function becomes Fischer's (1973) linear logistic trait model and Tatsuoka and Tatsuoka's (1982) rule space methodology. A plethora of additional models have used the concepts of these methods as foundations for new approaches or applications (for details, see Hartz, Roussos, & Stout, 2002).…”

PerFit: An R Package for Person-Fit Analysis in IRT

“…H t equals zero when the average covariance of the response pattern of test taker n with the other response patterns equals zero. Van der Flier (1980;see also Meijer 1994;Tatsuoka and Tatsuoka 1982) proposed the number of Guttman errors as a PFS, here denoted G. Thus, G is the number of (0, 1) pairs of item scores in the item score vector with the incorrect answer given to the easiest item and the correct answer given to the most difficult item. G is an integer and its upper bound is a function of the test length, which is inconvenient.…”

Person fit assessment using the PerFit package in R

“…12 no. 3 (Sato, 1975) Dichotomous NonParametric G, Gnormed (van der Flier, 1977;Meijer, 1994) Dichotomous NonParametric A.KB, D.KB, E.KB (Kane & Brennan, 1980) Dichotomous NonParametric U3, ZU3 (van der Flier, 1980(van der Flier, , 1982 Dichotomous NonParametric Cstar (Harnisch & Linn, 1981) Dichotomous NonParametric NCI (K. K. Tatsuoka & Tatsuoka, 1982, 1983) Dichotomous NonParametric lz (Drasgow, Levine, & Williams, 1985) Dichotomous Parametric lzpoly (Drasgow, Levine, & Williams, 1985) Polytomous Parametric Ht (Sijtsma, 1986) Dichotomous NonParametric Gpoly (Molenaar, 1991) Polytomous NonParametric Gnormed.poly (Molenaar, 1991;Emons, 2008) Polytomous NonParametric lzstar (Snijders, 2001) Dichotomous Parametric U3poly (Emons, 2008) Polytomous NonParametric term of comparison. The right panel of Figure 3 illustrates the PRF for respondent 29, which was not flagged by H T .…”