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Mathematical, Statistical and Computing Psychology - RSS Feedhttp://psychsource.bps.org.ukRevisiting dispersion in count data item response theory models: The Conway–Maxwell–Poisson counts model
http://psychsource.bps.org.uk/details/journalArticle/11178005/Revisiting-dispersion-in-count-data-item-response-theory-models-The-ConwayMaxwel.html
Count data naturally arise in several areas of cognitive ability testing, such as processing speed, memory, verbal fluency, and divergent thinking. Contemporary count data item response theory models, however, are not flexible enough, especially to account for over‐ and underdispersion at the same time. For example, the Rasch Poisson counts model (RPCM) assumes equidispersion (conditional mean and variance coincide) which is often violated in empirical data. This work introduces the...]]>2019-08-16T05:00:54ZA Latent Gaussian process model for analysing intensive longitudinal data
http://psychsource.bps.org.uk/details/journalArticle/11178006/A-Latent-Gaussian-process-model-for-analysing-intensive-longitudinal-data.html
Intensive longitudinal studies are becoming progressively more prevalent across many social science areas, and especially in psychology. New technologies such as smart‐phones, fitness trackers, and the Internet of Things make it much easier than in the past to collect data for intensive longitudinal studies, providing an opportunity to look deep into the underlying characteristics of individuals under a high temporal resolution. In this paper we introduce a new modelling framework for latent...]]>2019-08-16T05:00:36ZThe use of item scores and response times to detect examinees who may have benefited from item preknowledge
http://psychsource.bps.org.uk/details/journalArticle/11178007/The-use-of-item-scores-and-response-times-to-detect-examinees-who-may-have-benef.html
According to Wollack and Schoenig (2018, The Sage encyclopedia of educational research, measurement, and evaluation. Thousand Oaks, CA: Sage, 260), benefiting from item preknowledge is one of the three broad types of test fraud that occur in educational assessments. We use tools from constrained statistical inference to suggest a new statistic that is based on item scores and response times and can be used to detect examinees who may have benefited from item preknowledge for the case when the...]]>2019-08-16T04:59:22ZCombining mixture distribution and multidimensional IRTree models for the measurement of extreme response styles
http://psychsource.bps.org.uk/details/journalArticle/11175629/Combining-mixture-distribution-and-multidimensional-IRTree-models-for-the-measur.html
Personality constructs, attitudes and other non‐cognitive variables are often measured using rating or Likert‐type scales, which does not come without problems. Especially in low‐stakes assessments, respondents may produce biased responses due to response styles (RS) that reduce the validity and comparability of the measurement. Detecting and correcting RS is not always straightforward because not all respondents show RS and the ones who do may not do so to the same extent or in the same...]]>2019-08-06T03:34:59ZA mixture model for responses and response times with a higher‐order ability structure to detect rapid guessing behaviour
http://psychsource.bps.org.uk/details/journalArticle/11175628/A-mixture-model-for-responses-and-response-times-with-a-higherorder-ability-stru.html
Many educational and psychological assessments focus on multidimensional latent traits that often have a hierarchical structure to provide both overall‐level information and fine‐grained diagnostic information. A test will usually have either separate time limits for each subtest or an overall time limit for administrative convenience and test fairness. In order to complete the items within the allocated time, examinees frequently adopt different test‐taking behaviours during the test, such as...]]>2019-08-06T03:29:13ZThe counterintuitive impact of responses and response times on parameter estimates in the drift diffusion model
http://psychsource.bps.org.uk/details/journalArticle/11171413/The-counterintuitive-impact-of-responses-and-response-times-on-parameter-estimat.html
Given a drift diffusion model with unknown drift and boundary parameters, we analyse the behaviour of maximum likelihood estimates with respect to changes of responses and response times. It is shown analytically that a single fast response time can dominate the estimation in that no matter how many correct answers a test taker provides, the estimate of the drift (ability) parameter decreases to zero. In addition, it is shown that although higher drift rates imply shorter response times, the...]]>2019-07-21T23:38:40ZEvaluation on types of invariance in studying extreme response bias with an IRTree approach
http://psychsource.bps.org.uk/details/journalArticle/11168630/Evaluation-on-types-of-invariance-in-studying-extreme-response-bias-with-an-IRTr.html
In recent years, item response tree (IRTree) approaches have received increasing attention in the response style literature for their ability to partial out response style latent variables as well as associated item parameters. When an IRTree approach is adopted to measure extreme response styles, directional and content invariance could be assumed at the latent variable and item parameter levels. In this study, we propose to evaluate the empirical validity of these invariance assumptions by...]]>2019-07-10T22:10:13ZStandard errors of two‐level scalability coefficients
http://psychsource.bps.org.uk/details/journalArticle/11163923/Standard-errors-of-twolevel-scalability-coefficients.html
For the construction of tests and questionnaires that require multiple raters (e.g., a child behaviour checklist completed by both parents) a novel ordinal scaling technique is currently being further developed, called two‐level Mokken scale analysis. The technique uses within‐rater and between‐rater coefficients to assess the scalability of the test. These coefficients are generalizations of Mokken's scalability coefficients. In this paper we derived standard errors for the two‐level...]]>2019-06-23T22:54:25ZBack to the basics: Rethinking partial correlation network methodology
http://psychsource.bps.org.uk/details/journalArticle/11162706/Back-to-the-basics-Rethinking-partial-correlation-network-methodology.html
The Gaussian graphical model (GGM) is an increasingly popular technique used in psychology to characterize relationships among observed variables. These relationships are represented as elements in the precision matrix. Standardizing the precision matrix and reversing the sign yields corresponding partial correlations that imply pairwise dependencies in which the effects of all other variables have been controlled for. The graphical lasso (glasso) has emerged as the default estimation method,...]]>2019-06-17T09:26:30ZTesting two variances for superiority/non‐inferiority and equivalence: Using the exhaustion algorithm for sample size allocation with cost
http://psychsource.bps.org.uk/details/journalArticle/11161488/Testing-two-variances-for-superioritynoninferiority-and-equivalence-Using-the-ex.html
The equality of two group variances is frequently tested in experiments. However, criticisms of null hypothesis statistical testing on means have recently arisen and there is interest in other types of statistical tests of hypotheses, such as superiority/non‐inferiority and equivalence. Although these tests have become more common in psychology and social sciences, the corresponding sample size estimation for these tests is rarely discussed, especially when the sampling unit costs are unequal...]]>2019-06-12T22:44:44Z