Spaccapanico Proietti, Giada ; Matteucci, Mariagiulia ; Mignani, Stefania ; Veldkamp, Bernard P.
(2020)
Chance-Constrained Automated Test Assembly.
[Preprint]
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Abstract
Classical automated test assembly (ATA) methods assume fixed and known parameters, an hypothesis that is not true for estimates of item response theory parameters which are key elements in test assembly. To account for uncertainty in ATA, we propose a chance-constrained version of the MAXIMIN ATA model which allows to maximize the alpha-quantile of the sampling distribution function of the test information function obtained by bootstrapping the item parameters. An heuristic based on the simulated annealing is proposed to solve the ATA model. The validity of the proposed approach is verified by simulated data and the applicability is verified by an application to real data.
Abstract
Classical automated test assembly (ATA) methods assume fixed and known parameters, an hypothesis that is not true for estimates of item response theory parameters which are key elements in test assembly. To account for uncertainty in ATA, we propose a chance-constrained version of the MAXIMIN ATA model which allows to maximize the alpha-quantile of the sampling distribution function of the test information function obtained by bootstrapping the item parameters. An heuristic based on the simulated annealing is proposed to solve the ATA model. The validity of the proposed approach is verified by simulated data and the applicability is verified by an application to real data.
Tipologia del documento
Preprint
Autori
Parole chiave
"automated test assembly" "uncertainty" "chance-constrained" "simulated annealing"
Settori scientifico-disciplinari
DOI
Data di deposito
16 Giu 2020 08:21
Ultima modifica
16 Giu 2020 08:21
URI
Altri metadati
Tipologia del documento
Preprint
Autori
Parole chiave
"automated test assembly" "uncertainty" "chance-constrained" "simulated annealing"
Settori scientifico-disciplinari
DOI
Data di deposito
16 Giu 2020 08:21
Ultima modifica
16 Giu 2020 08:21
URI
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