2012
DOI: 10.2224/sbp.2012.40.10.1679
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The Four-Parameter Logistic Item Response Theory Model As a Robust Method of Estimating Ability Despite Aberrant Responses

Abstract: In computerized adaptive testing (CAT), aberrant responses such as careless errors and lucky guesses may cause significant ability estimation biases in the dynamic administration of test items. We investigated the robustness of the 4-parameter logistic item response theory (4PL IRT; Barton & Lord, 1981) model in comparison with the 3-parameter logistic (3PL) IRT model (Birnbaum, 1968). We applied additional precision and efficiency measures to evaluate the 4PL IRT model. We measured the precision of CAT w… Show more

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Cited by 45 publications
(48 citation statements)
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“…Recent research renewed interest in Barton and Lord's (1981) four-parameter logistic (4PL) item response theory (IRT) model (Feuerstahler & Waller, 2014;Liao, Ho, Yen, & Cheng, 2012, Loken & Rulison, 2010Ogasawara, 2012;Rulison & Loken, 2009;Waller & Reise, 2010). The 4PL is a generalization of the three-parameter model and includes an upper asymptote for the probability of a correct response,…”
Section: Introductionmentioning
confidence: 99%
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“…Recent research renewed interest in Barton and Lord's (1981) four-parameter logistic (4PL) item response theory (IRT) model (Feuerstahler & Waller, 2014;Liao, Ho, Yen, & Cheng, 2012, Loken & Rulison, 2010Ogasawara, 2012;Rulison & Loken, 2009;Waller & Reise, 2010). The 4PL is a generalization of the three-parameter model and includes an upper asymptote for the probability of a correct response,…”
Section: Introductionmentioning
confidence: 99%
“…The 4PL has been been studied in several research areas. For instance, the 4PL has been the focus of recent research on computerized adaptive testing (CAT; Green, 2011;Liao et al, 2012;Rulison & Loken, 2009). In particular, Chang and Ying (2008) demonstrated using the two-parameter IRT model that ability tends to be underestimated for examinees who miss a few items at the beginning of a CAT.…”
Section: Introductionmentioning
confidence: 99%
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“…This requirement gives rise to the three-parameter logistic model (3PL) of Birnbaum [14]. Generalizing to the natural case where the upper asymptote may differ from 1 (that is, we can have random failure), we end up with the four-parameter logistic model (4PL) [15]. This, then, is the model I propose for skill simulation in games: that the probability of success for a skill level a and difficulty x be given by f (a, x; r, , u) = + (u − ) · 1 1 + e −r(a−x) ,…”
Section: The 2pl 3pl and 4plmentioning
confidence: 99%
“…Recent advances in computational statistics have made it straightforward to estimate an upper asymptote for each item (Loken & Rulison, 2010), that is, Model 3. Liao, Ho, Yen, and Cheng (2012) and Yen et al (2012) discussed computerized adaptive testing that is built upon the Barton and Lord (1981) model, where the upper asymptote is fixed across items. Below, it has been shown that traditional item selection and ability estimation methods can be easily modified to be used in CAT built on the more general 4PLM in Model 3.…”
mentioning
confidence: 99%