The British Journal of Mathematical and Statistical Psychology 
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This is an RSS file. You can use it to subscribe to this data in your favourite RSS reader or to display this data on your own website or blog.Which method delivers greater signal-to-noise ratio: Structural equation modelling or regression analysis with weighted composites?
Br J Math Stat Psychol. 2023 Nov;76(3):646-678. doi: 10.1111/bmsp.12293. Epub 2022 Dec 2.ABSTRACTObservational data typically contain measurement errors. Covariance-based structural equation modelling (CB-SEM) is capable of modelling measurement errors and yields consistent parameter estimates. In contrast, methods of regression analysis using weighted composites as well as a partial least squares approach to SEM facilitate the prediction and diagnosis of individuals/participants. But regression analysis with weighted composites has been known to yield attenuated regression coefficients when predictors contain errors. Cont...
Source: The British Journal of Mathematical and Statistical Psychology - October 3, 2023 Category: Statistics Authors: Ke-Hai Yuan Yongfei Fang Source Type: research
A sequential exploratory diagnostic model using a P ólya-gamma data augmentation strategy
Br J Math Stat Psychol. 2023 Nov;76(3):513-538. doi: 10.1111/bmsp.12307. Epub 2023 May 21.ABSTRACTCognitive diagnostic models provide a framework for classifying individuals into latent proficiency classes, also known as attribute profiles. Recent research has examined the implementation of a Pólya-gamma data augmentation strategy binary response model using logistic item response functions within a Bayesian Gibbs sampling procedure. In this paper, we propose a sequential exploratory diagnostic model for ordinal response data using a logit-link parameterization at the category level and extend the Pólya-gamma data augmen...
Source: The British Journal of Mathematical and Statistical Psychology - October 3, 2023 Category: Statistics Authors: Auburn Jimenez James Joseph Balamuta Steven Andrew Culpepper Source Type: research
Which method delivers greater signal-to-noise ratio: Structural equation modelling or regression analysis with weighted composites?
Br J Math Stat Psychol. 2023 Nov;76(3):646-678. doi: 10.1111/bmsp.12293. Epub 2022 Dec 2.ABSTRACTObservational data typically contain measurement errors. Covariance-based structural equation modelling (CB-SEM) is capable of modelling measurement errors and yields consistent parameter estimates. In contrast, methods of regression analysis using weighted composites as well as a partial least squares approach to SEM facilitate the prediction and diagnosis of individuals/participants. But regression analysis with weighted composites has been known to yield attenuated regression coefficients when predictors contain errors. Cont...
Source: The British Journal of Mathematical and Statistical Psychology - October 3, 2023 Category: Statistics Authors: Ke-Hai Yuan Yongfei Fang Source Type: research
A sequential exploratory diagnostic model using a P ólya-gamma data augmentation strategy
Br J Math Stat Psychol. 2023 Nov;76(3):513-538. doi: 10.1111/bmsp.12307. Epub 2023 May 21.ABSTRACTCognitive diagnostic models provide a framework for classifying individuals into latent proficiency classes, also known as attribute profiles. Recent research has examined the implementation of a Pólya-gamma data augmentation strategy binary response model using logistic item response functions within a Bayesian Gibbs sampling procedure. In this paper, we propose a sequential exploratory diagnostic model for ordinal response data using a logit-link parameterization at the category level and extend the Pólya-gamma data augmen...
Source: The British Journal of Mathematical and Statistical Psychology - October 3, 2023 Category: Statistics Authors: Auburn Jimenez James Joseph Balamuta Steven Andrew Culpepper Source Type: research
A Gibbs-INLA algorithm for multidimensional graded response model analysis
Br J Math Stat Psychol. 2023 Sep 29. doi: 10.1111/bmsp.12321. Online ahead of print.ABSTRACTIn this paper, we propose a novel Gibbs-INLA algorithm for the Bayesian inference of graded response models with ordinal response based on multidimensional item response theory. With the combination of the Gibbs sampling and the integrated nested Laplace approximation (INLA), the new framework avoids the cumbersome tuning which is inevitable in classical Markov chain Monte Carlo (MCMC) algorithm, and has low computing memory, high computational efficiency with much fewer iterations, and still achieve higher estimation accuracy. Ther...
Source: The British Journal of Mathematical and Statistical Psychology - September 29, 2023 Category: Statistics Authors: Xiaofan Lin Siliang Zhang Yincai Tang Xuan Li Source Type: research
A Gibbs-INLA algorithm for multidimensional graded response model analysis
Br J Math Stat Psychol. 2023 Sep 29. doi: 10.1111/bmsp.12321. Online ahead of print.ABSTRACTIn this paper, we propose a novel Gibbs-INLA algorithm for the Bayesian inference of graded response models with ordinal response based on multidimensional item response theory. With the combination of the Gibbs sampling and the integrated nested Laplace approximation (INLA), the new framework avoids the cumbersome tuning which is inevitable in classical Markov chain Monte Carlo (MCMC) algorithm, and has low computing memory, high computational efficiency with much fewer iterations, and still achieve higher estimation accuracy. Ther...
Source: The British Journal of Mathematical and Statistical Psychology - September 29, 2023 Category: Statistics Authors: Xiaofan Lin Siliang Zhang Yincai Tang Xuan Li Source Type: research
A Gibbs-INLA algorithm for multidimensional graded response model analysis
Br J Math Stat Psychol. 2023 Sep 29. doi: 10.1111/bmsp.12321. Online ahead of print.ABSTRACTIn this paper, we propose a novel Gibbs-INLA algorithm for the Bayesian inference of graded response models with ordinal response based on multidimensional item response theory. With the combination of the Gibbs sampling and the integrated nested Laplace approximation (INLA), the new framework avoids the cumbersome tuning which is inevitable in classical Markov chain Monte Carlo (MCMC) algorithm, and has low computing memory, high computational efficiency with much fewer iterations, and still achieve higher estimation accuracy. Ther...
Source: The British Journal of Mathematical and Statistical Psychology - September 29, 2023 Category: Statistics Authors: Xiaofan Lin Siliang Zhang Yincai Tang Xuan Li Source Type: research
A Gibbs-INLA algorithm for multidimensional graded response model analysis
Br J Math Stat Psychol. 2023 Sep 29. doi: 10.1111/bmsp.12321. Online ahead of print.ABSTRACTIn this paper, we propose a novel Gibbs-INLA algorithm for the Bayesian inference of graded response models with ordinal response based on multidimensional item response theory. With the combination of the Gibbs sampling and the integrated nested Laplace approximation (INLA), the new framework avoids the cumbersome tuning which is inevitable in classical Markov chain Monte Carlo (MCMC) algorithm, and has low computing memory, high computational efficiency with much fewer iterations, and still achieve higher estimation accuracy. Ther...
Source: The British Journal of Mathematical and Statistical Psychology - September 29, 2023 Category: Statistics Authors: Xiaofan Lin Siliang Zhang Yincai Tang Xuan Li Source Type: research
A Bayesian nonparametric approach for handling item and examinee heterogeneity in assessment data
Br J Math Stat Psychol. 2023 Sep 20. doi: 10.1111/bmsp.12322. Online ahead of print.ABSTRACTWe propose a novel nonparametric Bayesian item response theory model that estimates clusters at the question level, while simultaneously allowing for heterogeneity at the examinee level under each question cluster, characterized by a mixture of binomial distributions. The main contribution of this work is threefold. First, we present our new model and demonstrate that it is identifiable under a set of conditions. Second, we show that our model can correctly identify question-level clusters asymptotically, and the parameters of inter...
Source: The British Journal of Mathematical and Statistical Psychology - September 20, 2023 Category: Statistics Authors: Tianyu Pan Weining Shen Clintin P Davis-Stober Guanyu Hu Source Type: research
A Bayesian nonparametric approach for handling item and examinee heterogeneity in assessment data
Br J Math Stat Psychol. 2023 Sep 20. doi: 10.1111/bmsp.12322. Online ahead of print.ABSTRACTWe propose a novel nonparametric Bayesian item response theory model that estimates clusters at the question level, while simultaneously allowing for heterogeneity at the examinee level under each question cluster, characterized by a mixture of binomial distributions. The main contribution of this work is threefold. First, we present our new model and demonstrate that it is identifiable under a set of conditions. Second, we show that our model can correctly identify question-level clusters asymptotically, and the parameters of inter...
Source: The British Journal of Mathematical and Statistical Psychology - September 20, 2023 Category: Statistics Authors: Tianyu Pan Weining Shen Clintin P Davis-Stober Guanyu Hu Source Type: research
A Bayesian nonparametric approach for handling item and examinee heterogeneity in assessment data
Br J Math Stat Psychol. 2023 Sep 20. doi: 10.1111/bmsp.12322. Online ahead of print.ABSTRACTWe propose a novel nonparametric Bayesian item response theory model that estimates clusters at the question level, while simultaneously allowing for heterogeneity at the examinee level under each question cluster, characterized by a mixture of binomial distributions. The main contribution of this work is threefold. First, we present our new model and demonstrate that it is identifiable under a set of conditions. Second, we show that our model can correctly identify question-level clusters asymptotically, and the parameters of inter...
Source: The British Journal of Mathematical and Statistical Psychology - September 20, 2023 Category: Statistics Authors: Tianyu Pan Weining Shen Clintin P Davis-Stober Guanyu Hu Source Type: research
A Bayesian nonparametric approach for handling item and examinee heterogeneity in assessment data
Br J Math Stat Psychol. 2023 Sep 20. doi: 10.1111/bmsp.12322. Online ahead of print.ABSTRACTWe propose a novel nonparametric Bayesian item response theory model that estimates clusters at the question level, while simultaneously allowing for heterogeneity at the examinee level under each question cluster, characterized by a mixture of binomial distributions. The main contribution of this work is threefold. First, we present our new model and demonstrate that it is identifiable under a set of conditions. Second, we show that our model can correctly identify question-level clusters asymptotically, and the parameters of inter...
Source: The British Journal of Mathematical and Statistical Psychology - September 20, 2023 Category: Statistics Authors: Tianyu Pan Weining Shen Clintin P Davis-Stober Guanyu Hu Source Type: research
A Bayesian nonparametric approach for handling item and examinee heterogeneity in assessment data
Br J Math Stat Psychol. 2023 Sep 20. doi: 10.1111/bmsp.12322. Online ahead of print.ABSTRACTWe propose a novel nonparametric Bayesian item response theory model that estimates clusters at the question level, while simultaneously allowing for heterogeneity at the examinee level under each question cluster, characterized by a mixture of binomial distributions. The main contribution of this work is threefold. First, we present our new model and demonstrate that it is identifiable under a set of conditions. Second, we show that our model can correctly identify question-level clusters asymptotically, and the parameters of inter...
Source: The British Journal of Mathematical and Statistical Psychology - September 20, 2023 Category: Statistics Authors: Tianyu Pan Weining Shen Clintin P Davis-Stober Guanyu Hu Source Type: research
A Bayesian nonparametric approach for handling item and examinee heterogeneity in assessment data
Br J Math Stat Psychol. 2023 Sep 20. doi: 10.1111/bmsp.12322. Online ahead of print.ABSTRACTWe propose a novel nonparametric Bayesian item response theory model that estimates clusters at the question level, while simultaneously allowing for heterogeneity at the examinee level under each question cluster, characterized by a mixture of binomial distributions. The main contribution of this work is threefold. First, we present our new model and demonstrate that it is identifiable under a set of conditions. Second, we show that our model can correctly identify question-level clusters asymptotically, and the parameters of inter...
Source: The British Journal of Mathematical and Statistical Psychology - September 20, 2023 Category: Statistics Authors: Tianyu Pan Weining Shen Clintin P Davis-Stober Guanyu Hu Source Type: research
A Bayesian nonparametric approach for handling item and examinee heterogeneity in assessment data
Br J Math Stat Psychol. 2023 Sep 20. doi: 10.1111/bmsp.12322. Online ahead of print.ABSTRACTWe propose a novel nonparametric Bayesian item response theory model that estimates clusters at the question level, while simultaneously allowing for heterogeneity at the examinee level under each question cluster, characterized by a mixture of binomial distributions. The main contribution of this work is threefold. First, we present our new model and demonstrate that it is identifiable under a set of conditions. Second, we show that our model can correctly identify question-level clusters asymptotically, and the parameters of inter...
Source: The British Journal of Mathematical and Statistical Psychology - September 20, 2023 Category: Statistics Authors: Tianyu Pan Weining Shen Clintin P Davis-Stober Guanyu Hu Source Type: research
