scholarly journals Analysing Standard Progressive Matrices (SPM-LS) with Bayesian Item Response Models

2020 ◽  
Vol 8 (1) ◽  
pp. 5 ◽  
Author(s):  
Paul-Christian Bürkner
Keyword(s):  
Cognitive Ability ◽  
Item Response ◽  
Short Form ◽  
Response Models ◽  
Item Response Models ◽  
Irt Models ◽  
Dichotomous Responses ◽  
Uncertainty Estimates ◽  
Raven's Standard Progressive Matrices ◽  
3Pl Model

Raven’s Standard Progressive Matrices (SPM) test and related matrix-based tests are widely applied measures of cognitive ability. Using Bayesian Item Response Theory (IRT) models, I reanalyzed data of an SPM short form proposed by Myszkowski and Storme (2018) and, at the same time, illustrate the application of these models. Results indicate that a three-parameter logistic (3PL) model is sufficient to describe participants dichotomous responses (correct vs. incorrect) while persons’ ability parameters are quite robust across IRT models of varying complexity. These conclusions are in line with the original results of Myszkowski and Storme (2018). Using Bayesian as opposed to frequentist IRT models offered advantages in the estimation of more complex (i.e., 3–4PL) IRT models and provided more sensible and robust uncertainty estimates.

scholarly journals Analysing Standard Progressive Matrices (SPM-LS) with Bayesian Item Response Models

2019 ◽  
Author(s):  
Paul - Christian Bürkner
Keyword(s):  
Cognitive Ability ◽  
Item Response ◽  
Short Form ◽  
Response Models ◽  
Item Response Models ◽  
Irt Models ◽  
Dichotomous Responses ◽  
Uncertainty Estimates ◽  
Raven's Standard Progressive Matrices ◽  
3Pl Model

Raven’s Standard Progressive Matrices (SPM) test and related matrix-based tests are widely applied measures of cognitive ability. Using Bayesian Item Response Theory (IRT) models, I reanalyse data of an SPM short form proposed by Myszkowski & Storme (2018) and, at the same time, illustrate the application of these models. Results indicate that a 3-parameter logistic (3PL) model is sufficient to describe participants dichotomous responses (correct vs. incorrect) while persons' ability parameters are quite robust across IRT models of varying complexity. These conclusions are in line with the original results of Myszkowski & Storme (2018). Using Bayesian as opposed to frequentist IRT models offered advantages in the estimation of more complex (i.e., 3-4PL) IRT models and provided more sensible and robust uncertainty estimates.

scholarly journals Scale Alignment in the Between-Item Multidimensional Partial Credit Model

2021 ◽  
pp. 014662162110131
Author(s):  
Leah Feuerstahler ◽  
Mark Wilson
Keyword(s):  
Item Response ◽  
Kindergarten Readiness ◽  
Latent Trait ◽  
Individual Development ◽  
Partial Credit Model ◽  
Partial Credit ◽  
Response Models ◽  
Item Response Models ◽  
Item Parameters ◽  
Polytomous Item Response

In between-item multidimensional item response models, it is often desirable to compare individual latent trait estimates across dimensions. These comparisons are only justified if the model dimensions are scaled relative to each other. Traditionally, this scaling is done using approaches such as standardization—fixing the latent mean and standard deviation to 0 and 1 for all dimensions. However, approaches such as standardization do not guarantee that Rasch model properties hold across dimensions. Specifically, for between-item multidimensional Rasch family models, the unique ordering of items holds within dimensions, but not across dimensions. Previously, Feuerstahler and Wilson described the concept of scale alignment, which aims to enforce the unique ordering of items across dimensions by linearly transforming item parameters within dimensions. In this article, we extend the concept of scale alignment to the between-item multidimensional partial credit model and to models fit using incomplete data. We illustrate this method in the context of the Kindergarten Individual Development Survey (KIDS), a multidimensional survey of kindergarten readiness used in the state of Illinois. We also present simulation results that demonstrate the effectiveness of scale alignment in the context of polytomous item response models and missing data.

Stochastic Approximation Methods for Latent Regression Item Response Models

2010 ◽  
Vol 35 (2) ◽  
pp. 174-193 ◽  
Author(s):  
Matthias von Davier ◽  
Sandip Sinharay
Keyword(s):  
Item Response ◽  
Stochastic Approximation ◽  
Latent Variable ◽  
Reading Assessment ◽  
Mathematics Assessment ◽  
National Assessment ◽  
Variable Model ◽  
Response Models ◽  
Item Response Models ◽  
Latent Regression

This article presents an application of a stochastic approximation expectation maximization (EM) algorithm using a Metropolis-Hastings (MH) sampler to estimate the parameters of an item response latent regression model. Latent regression item response models are extensions of item response theory (IRT) to a latent variable model with covariates serving as predictors of the conditional distribution of ability. Applications to estimating latent regression models for National Assessment of Educational Progress (NAEP) data from the 2000 Grade 4 mathematics assessment and the Grade 8 reading assessment from 2002 are presented and results of the proposed method are compared to results obtained using current operational procedures.

Mixture Item Response Models for Inattentive Responding Behavior

2017 ◽  
Vol 21 (1) ◽  
pp. 197-225 ◽  
Author(s):  
Kuan-Yu Jin ◽  
Hui-Fang Chen ◽  
Wen-Chung Wang
Keyword(s):  
Item Response ◽  
Response Models ◽  
Item Response Models

Supervised item response models for informative prediction

2016 ◽  
Vol 51 (1) ◽  
pp. 235-257 ◽  
Author(s):  
Tsuyoshi Idé ◽  
Amit Dhurandhar
Keyword(s):  
Item Response ◽  
Response Models ◽  
Item Response Models
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