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Mathematical, Statistical and Computing Psychology - RSS Feedhttp://psychsource.bps.org.ukWhen is the Wilcoxon–Mann–Whitney procedure a test of location? Implications for effect‐size measures
http://psychsource.bps.org.uk/details/journalArticle/11143331/When-is-the-WilcoxonMannWhitney-procedure-a-test-of-location-Implications-for-ef.html
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 parallel cdfs, so long as the original cdfs intersect nowhere or everywhere. Thus there are infinitely many effect sizes measured as shifts of medians,...]]>2019-03-21T23:18:51ZDynamic estimation in the extended marginal Rasch model with an application to mathematical computer‐adaptive practice
http://psychsource.bps.org.uk/details/journalArticle/11142289/Dynamic-estimation-in-the-extended-marginal-Rasch-model-with-an-application-to-m.html
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 comparability over time, a data augmentation method is used, which provides an augmented person‐by‐item data matrix and reproduces the sufficient statistics of...]]>2019-03-18T10:41:58ZIndividual, situational, and cultural correlates of acquiescent responding: Towards a unified conceptual framework
http://psychsource.bps.org.uk/details/journalArticle/11141082/Individual-situational-and-cultural-correlates-of-acquiescent-responding-Towards.html
Acquiescence (‘yea‐saying’) can seriously harm the validity of self‐report questionnaire data. Towards a better understanding of why some individuals and groups acquiesce more strongly than others do, we developed a unified conceptual framework of acquiescent responding. Our framework posits that acquiescent responding is a joint function of respondent characteristics (e.g. age, education, values), situational/survey characteristics (e.g., interview privacy, respondents’ interest), and...]]>2019-03-09T04:27:46ZUtilizing response times in cognitive diagnostic computerized adaptive testing under the higher‐order deterministic input, noisy ‘and’ gate model
http://psychsource.bps.org.uk/details/journalArticle/11138239/Utilizing-response-times-in-cognitive-diagnostic-computerized-adaptive-testing-u.html
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 environment, examinees are often subject to a time limit, and the examinees’ response times (RTs) for specific test items can be routinely recorded by...]]>2019-02-22T02:45:03ZTowards end‐to‐end likelihood‐free inference with convolutional neural networks
http://psychsource.bps.org.uk/details/journalArticle/11138238/Towards-endtoend-likelihoodfree-inference-with-convolutional-neural-networks.html
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 posterior mean and variance of multidimensional posterior distributions directly from raw simulated data. Once trained on simulated data, the...]]>2019-02-22T01:34:36ZIRTree models with ordinal and multidimensional decision nodes for response styles and trait‐based rating responses
http://psychsource.bps.org.uk/details/journalArticle/11135441/IRTree-models-with-ordinal-and-multidimensional-decision-nodes-for-response-styl.html
IRTree models decompose observed rating responses into sequences of theory‐based decision nodes, and they provide a flexible framework for analysing trait‐related judgements and response styles. However, most previous applications of IRTree models have been limited to binary decision nodes that reflect qualitatively distinct and unidimensional judgement processes. The present research extends the family of IRTree models for the analysis of response styles to ordinal judgement processes for...]]>2019-02-12T23:35:13ZCognitive diagnosis models for multiple strategies
http://psychsource.bps.org.uk/details/journalArticle/11135442/Cognitive-diagnosis-models-for-multiple-strategies.html
Cognitive diagnosis models (CDMs) have been used as psychometric tools in educational assessments to estimate students’ proficiency profiles. However, most CDMs assume that all students adopt the same strategy when approaching problems in an assessment, which may not be the case in practice. This study develops a generalized multiple‐strategy CDM for dichotomous response data. The proposed model provides a unified framework to accommodate various condensation rules (e.g., conjunctive,...]]>2019-02-12T23:30:51ZA note on residual M‐distances for identifying aberrant response patterns
http://psychsource.bps.org.uk/details/journalArticle/11135443/A-note-on-residual-Mdistances-for-identifying-aberrant-response-patterns.html
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 individual's response vector corresponds to a covariance structure implied by a psychometric model. In this note, we focus on the so‐called one‐factor...]]>2019-02-12T23:28:49ZAn empirical Q‐matrix validation method for the sequential generalized DINA model
http://psychsource.bps.org.uk/details/journalArticle/11129579/An-empirical-Qmatrix-validation-method-for-the-sequential-generalized-DINA-model.html
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 procedures are developed for dichotomous responses. However, in this paper, we propose a method to empirically detect and correct the...]]>2019-02-05T21:03:16ZAnalysing multisource feedback with multilevel structural equation models: Pitfalls and recommendations from a simulation study
http://psychsource.bps.org.uk/details/journalArticle/11127758/Analysing-multisource-feedback-with-multilevel-structural-equationmodels-Pitfall.html
When multisource feedback instruments, for example, 360‐degree feedback tools, are validated, multilevel structural equation models are the method of choice to quantify the amount of reliability as well as convergent and discriminant validity. A non‐standard multilevel structural equation model that incorporates self‐ratings (level‐2 variables) and others’ ratings from different additional perspectives (level‐1 variables), for example, peers and subordinates, has recently been presented. In a...]]>2019-01-29T01:40:50Z