A Nonparametric Estimator of a Monotone Item Characteristic Curve

Luzardo, Mario; Morales, P.

doi:10.1007/978-3-319-19977-1_8

Cited by 6 publications

(5 citation statements)

References 41 publications

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“…El paso del análisis de las condiciones psicométricas de la AVE mediante el uso de la Teoría Clásica de los Test a la Teoría de Respuesta al Ítem, permite optimizar la medición de constructos psicológicos. Ya que la unidad de análisis son los ítems, se facilita el uso de indicadores no dependientes de la toma aleatorizada de muestras difíciles de lograr (Muñiz, 1997), ofrece un análisis funcional entre el rasgo evaluado de quien responde y el ítem usado para evaluarlo (Luzardo & Rodríguez, 2015). Se aportan datos específicos acerca del ajuste del modelo que sustenta al concepto base que, pretende evaluar el instrumento del instrumento y la relación entre la respuesta y el grado en que manifiesta el modelo (Abad, Olea, Ponsoda, & García, 2011) el cual, para este caso, es el modelo de acontecimientos capaces de provocar la respuesta de estrés en la persona respondiente.…”

Section: Condiciones Psicométricas De La Escala De Acontecimientos VIunclassified

Condiciones psicométricas de la Escala de Acontecimientos Vitales Estresantes usada en población colombiana

Pérez

Salamanca

Adames

et al. 2019

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Objetivo. Determinar las condiciones psicométricas desde el modelo TRI y evaluar la permanencia a través del tiempo de su calidad métrica determinada desde la Teoría Clásica de los Test de la Escala de Acontecimientos Vitales Estresantes. Muestra. Fue de 1225 colombianos entre 17 y 64 años (M = 33.14; DT = 12.47) de edad y ambos sexos, estratificada por sexos y procedencia. Método. Se analizaron las condiciones psicométricas de la escala desde la Teoría de Respuesta al Ítem (TRI), se mejoró el formato de presentación, se definieron límites de interpretación de los puntajes, y se analizó la diferencia en el impacto psicológico provocado por cada evento de acuerdo al sexo. Resultados. Los resultados muestran que la escala cuenta con un nivel adecuado de validez y confiabilidad, que el cambio de formato facilita su diligenciamiento y que es necesario ratificar si existen diferencias de sexo que deben ser estudiadas.

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Section: Condiciones Psicométricas De La Escala De Acontecimientos VIunclassified

Condiciones psicométricas de la Escala de Acontecimientos Vitales Estresantes usada en población colombiana

Pérez

Salamanca

Adames

et al. 2019

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“…Instead of assuming monotonicity, in item response models it is sometimes of interest to test the monotonicity, as demonstrating the ordering of the response categories is important for the item to be used as part of a measurement instrument. Luzardo and Rodríguez (2015) presented a non-parametric estimator for a monotonic item response model for a multidimensional latent trait based on kernel density regression, but only considered dichotomous item responses.…”

Section: Introductionmentioning

confidence: 99%

Bayesian Non-Parametric Ordinal Regression Under a Monotonicity Constraint

2023

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Compared to the nominal scale, the ordinal scale for a categorical outcome variable has the property of making a monotonicity assumption for the covariate effects meaningful. This assumption is encoded in the commonly used proportional odds model, but there it is combined with other parametric assumptions such as linearity and additivity. Herein, the considered models are non-parametric and the only condition imposed is that the effects of the covariates on the outcome categories are stochastically monotone according to the ordinal scale. We are not aware of the existence of other comparable multivariable models that would be suitable for inference purposes. We generalize our previously proposed Bayesian monotonic multivariable regression model to ordinal outcomes, and propose an estimation procedure based on reversible jump Markov chain Monte Carlo. The model is based on a marked point process construction, which allows it to approximate arbitrary monotonic regression function shapes, and has a built-in covariate selection property. We study the performance of the proposed approach through extensive simulation studies, and demonstrate its practical application in two real data examples.

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“…Several asymmetric IRT models currently exist, such as the non-parametric Bayesian model, which constructs the ICC with a Dirichlet process prior (Qin, 1998;Duncan and MacEachern, 2008), and the Bayesian betamixture IRT model (BBM-IRT), which models the ICC with a flexible finite mixture of beta distribution (Arenson and Karabatsos, 2018). Karabatsos (2016) used the infinite mixture of normal c.d.f to model ICC, while Luzardo and Rodriguez (2015) constructed the ICC using the kernel regression method. There are also some skewed logistic IRT models, such as the logistic positive exponent (LPE) model and the reflection LPE (RLPE) model (Samejima, 1997(Samejima, , 1999(Samejima, , 2000Bolfarine and Bazan, 2010;Zhang et al, 2022), which utilize skewed modifications of the logit links.…”

Section: Introductionmentioning

confidence: 99%

Exploration and analysis of a generalized one-parameter item response model with flexible link functions

Wang,

Zhang,

et al. 2023

Front. Psychol.

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This paper primarily analyzes the one-parameter generalized logistic (1PGlogit) model, which is a generalized model containing other one-parameter item response theory (IRT) models. The essence of the 1PGlogit model is the introduction of a generalized link function that includes the probit, logit, and complementary log-log functions. By transforming different parameters, the 1PGlogit model can flexibly adjust the speed at which the item characteristic curve (ICC) approaches the upper and lower asymptote, breaking the previous constraints in one-parameter IRT models where the ICC curves were either all symmetric or all asymmetric. This allows for a more flexible way to fit data and achieve better fitting performance. We present three simulation studies, specifically designed to validate the accuracy of parameter estimation for a variety of one-parameter IRT models using the Stan program, illustrate the advantages of the 1PGlogit model over other one-parameter IRT models from a model fitting perspective, and demonstrate the effective fit of the 1PGlogit model with the three-parameter logistic (3PL) and four-parameter logistic (4PL) models. Finally, we demonstrate the good fitting performance of the 1PGlogit model through an analysis of real data.

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A Nonparametric Estimator of a Monotone Item Characteristic Curve

Cited by 6 publications

References 41 publications

Condiciones psicométricas de la Escala de Acontecimientos Vitales Estresantes usada en población colombiana

Condiciones psicométricas de la Escala de Acontecimientos Vitales Estresantes usada en población colombiana

Bayesian Non-Parametric Ordinal Regression Under a Monotonicity Constraint

Exploration and analysis of a generalized one-parameter item response model with flexible link functions

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