Schuster, Christof Lubbe, Dirk
Published in
The British journal of mathematical and statistical psychology

Although a statistical model might fit well to a large proportion of the individuals of a random sample, some individuals might give 'unusual' responses that are not well explained by the hypothesized model. If individual responses are given as continuous response vectors, M-distances can be used to produce real valued indicators of how well an ind...

Huang, Hung-Yu
Published in
The British journal of mathematical and statistical psychology

Methods of cognitive diagnostic computerized adaptive testing (CD-CAT) under higher-order cognitive diagnosis models have been developed to simultaneously provide estimates of the attribute mastery statuses of examinees for formative assessment and estimates of a latent continuous trait for overall summative evaluation. In a typical CD-CAT environm...

Brinkhuis, Matthieu J S Maris, Gunter
Published in
The British journal of mathematical and statistical psychology

We introduce a general response model that allows for several simple restrictions, resulting in other models such as the extended Rasch model. For the extended Rasch model, a dynamic Bayesian estimation procedure is provided, which is able to deal with data sets that change over time, and possibly include many missing values. To ensure comparabilit...

Radev, Stefan T Mertens, Ulf K Voss, Andreas Köthe, Ullrich
Published in
The British journal of mathematical and statistical psychology

Complex simulator-based models with non-standard sampling distributions require sophisticated design choices for reliable approximate parameter inference. We introduce a fast, end-to-end approach for approximate Bayesian computation (ABC) based on fully convolutional neural networks. The method enables users of ABC to derive simultaneously the post...

Parker, Scott Jernigan, Robert W Lansky, Joshua M
Published in
The British journal of mathematical and statistical psychology

The Wilcoxon-Mann-Whitney procedure is invariant under monotone transformations but its use as a test of location or shift is said not to be so. It tests location only under the shift model, the assumption of parallel cumulative distribution functions (cdfs). We show that infinitely many monotone transformations of the measured variable produce par...

Zhang, Siliang Chen, Yunxiao Liu, Yang
Published in
The British journal of mathematical and statistical psychology

In this paper, we explore the use of the stochastic EM algorithm (Celeux & Diebolt (1985) Computational Statistics Quarterly, 2, 73) for large-scale full-information item factor analysis. Innovations have been made on its implementation, including an adaptive-rejection-based Gibbs sampler for the stochastic E step, a proximal gradient descent algor...

Martín Andrés, Antonio Álvarez Hernández, María
Published in
The British journal of mathematical and statistical psychology

There is a frequent need to measure the degree of agreement among R observers who independently classify n subjects within K nominal or ordinal categories. The most popular methods are usually kappa-type measurements. When R = 2, Cohen's kappa coefficient (weighted or not) is well known. When defined in the ordinal case while assuming quadratic wei...

Ma, Wenchao de la Torre, Jimmy
Published in
The British journal of mathematical and statistical psychology

As a core component of most cognitive diagnosis models, the Q-matrix, or item and attribute association matrix, is typically developed by domain experts, and tends to be subjective. It is critical to validate the Q-matrix empirically because a misspecified Q-matrix could result in erroneous attribute estimation. Most existing Q-matrix validation pr...

Li, Xiao Zhang, Jinming Chang, Hua-Hua
Published in
The British journal of mathematical and statistical psychology

Content balancing is one of the most important issues in computerized classification testing. To adapt to variable-length forms, special treatments are needed to successfully control content constraints without knowledge of test length during the test. To this end, we propose the notions of 'look-ahead' and 'step size' to adaptively control content...

Stefan, Angelika M von Oertzen, Timo
Published in
The British journal of mathematical and statistical psychology

Longitudinal studies are the gold standard for research on time-dependent phenomena in the social sciences. However, they often entail high costs due to multiple measurement occasions and a long overall study duration. It is therefore useful to optimize these design factors while maintaining a high informativeness of the design. Von Oertzen and Bra...