Nonparametric Item Response Models: A Comparison on Recovering True Scores

Abstract Nonparametric procedures are used to add flexibility to models. Three nonparametric item response models have been proposed, but not directly compared: the Kernel smoothing (KS-IRT); the Davidian-Curve (DC-IRT); and the Bayesian semiparametric Rasch model (SP-Rasch). The main aim of the pre...

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Main Authors: Vithor Rosa Franco, Marie Wiberg, Rafael Valdece Sousa Bastos
Format: Article
Language:English
Published: Universidade de São Francisco 2024-01-01
Series:Psico-USF
Subjects:
Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1413-82712023000400685&tlng=en
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author Vithor Rosa Franco
Marie Wiberg
Rafael Valdece Sousa Bastos
author_facet Vithor Rosa Franco
Marie Wiberg
Rafael Valdece Sousa Bastos
author_sort Vithor Rosa Franco
collection DOAJ
description Abstract Nonparametric procedures are used to add flexibility to models. Three nonparametric item response models have been proposed, but not directly compared: the Kernel smoothing (KS-IRT); the Davidian-Curve (DC-IRT); and the Bayesian semiparametric Rasch model (SP-Rasch). The main aim of the present study is to compare the performance of these procedures in recovering simulated true scores, using sum scores as benchmarks. The secondary aim is to compare their performances in terms of practical equivalence with real data. Overall, the results show that, apart from the DC-IRT, which is the model that performs the worse, all the other models give results quite similar to those when sum scores are used. These results are followed by a discussion with practical implications and recommendations for future studies.
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spelling doaj.art-ea88bbe2d2f14a67ae677ea56c01fdbe2024-01-16T07:36:35ZengUniversidade de São FranciscoPsico-USF2175-35632024-01-0128468569610.1590/1413-82712023280403Nonparametric Item Response Models: A Comparison on Recovering True ScoresVithor Rosa Francohttps://orcid.org/0000-0002-8929-3238Marie Wiberghttps://orcid.org/0000-0001-5549-8262Rafael Valdece Sousa Bastoshttps://orcid.org/0000-0003-2444-6982Abstract Nonparametric procedures are used to add flexibility to models. Three nonparametric item response models have been proposed, but not directly compared: the Kernel smoothing (KS-IRT); the Davidian-Curve (DC-IRT); and the Bayesian semiparametric Rasch model (SP-Rasch). The main aim of the present study is to compare the performance of these procedures in recovering simulated true scores, using sum scores as benchmarks. The secondary aim is to compare their performances in terms of practical equivalence with real data. Overall, the results show that, apart from the DC-IRT, which is the model that performs the worse, all the other models give results quite similar to those when sum scores are used. These results are followed by a discussion with practical implications and recommendations for future studies.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1413-82712023000400685&tlng=enNonparametric item response modelBayesian modelingMonte Carlo simulation
spellingShingle Vithor Rosa Franco
Marie Wiberg
Rafael Valdece Sousa Bastos
Nonparametric Item Response Models: A Comparison on Recovering True Scores
Psico-USF
Nonparametric item response model
Bayesian modeling
Monte Carlo simulation
title Nonparametric Item Response Models: A Comparison on Recovering True Scores
title_full Nonparametric Item Response Models: A Comparison on Recovering True Scores
title_fullStr Nonparametric Item Response Models: A Comparison on Recovering True Scores
title_full_unstemmed Nonparametric Item Response Models: A Comparison on Recovering True Scores
title_short Nonparametric Item Response Models: A Comparison on Recovering True Scores
title_sort nonparametric item response models a comparison on recovering true scores
topic Nonparametric item response model
Bayesian modeling
Monte Carlo simulation
url http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1413-82712023000400685&tlng=en
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AT rafaelvaldecesousabastos nonparametricitemresponsemodelsacomparisononrecoveringtruescores