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British Journal of Mathematical and Statistical Psychology

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https://www.readbyqxmd.com/read/28225554/person-specific-versus-multilevel-autoregressive-models-accuracy-in-parameter%C3%A2-estimates-at-the-population-and-individual-levels
#1
Siwei Liu
This paper compares the multilevel modelling (MLM) approach and the person-specific (PS) modelling approach in examining autoregressive (AR) relations with intensive longitudinal data. Two simulation studies are conducted to examine the influences of sample heterogeneity, time series length, sample size, and distribution of individual level AR coefficients on the accuracy of AR estimates, both at the population level and at the individual level. It is found that MLM generally outperforms the PS approach under two conditions: when the sample has a homogeneous AR pattern, namely, when all individuals in the sample are characterized by AR processes with the same order; and when the sample has heterogeneous AR patterns, but a multilevel model with a sufficiently high order (i...
February 22, 2017: British Journal of Mathematical and Statistical Psychology
https://www.readbyqxmd.com/read/28211048/the-assessment-of-knowledge-and-learning-in-competence-spaces-the-gain-loss-model-for-dependent-skills
#2
Pasquale Anselmi, Luca Stefanutti, Debora de Chiusole, Egidio Robusto
The gain-loss model (GaLoM) is a formal model for assessing knowledge and learning. In its original formulation, the GaLoM assumes independence among the skills. Such an assumption is not reasonable in several domains, in which some preliminary knowledge is the foundation for other knowledge. This paper presents an extension of the GaLoM to the case in which the skills are not independent, and the dependence relation among them is described by a well-graded competence space. The probability of mastering skill s at the pretest is conditional on the presence of all skills on which s depends...
February 17, 2017: British Journal of Mathematical and Statistical Psychology
https://www.readbyqxmd.com/read/28164265/analysis-of-categorical-moderators-in-mixed-effects-meta-analysis-consequences-of-using-pooled-versus-separate-estimates-of-the-residual-between-studies-variances
#3
María Rubio-Aparicio, Julio Sánchez-Meca, José Antonio López-López, Juan Botella, Fulgencio Marín-Martínez
Subgroup analyses allow us to examine the influence of a categorical moderator on the effect size in meta-analysis. We conducted a simulation study using a dichotomous moderator, and compared the impact of pooled versus separate estimates of the residual between-studies variance on the statistical performance of the Q B(P) and Q B(S) tests for subgroup analyses assuming a mixed-effects model. Our results suggested that similar performance can be expected as long as there are at least 20 studies and these are approximately balanced across categories...
February 6, 2017: British Journal of Mathematical and Statistical Psychology
https://www.readbyqxmd.com/read/28140458/population-models-and-simulation-methods-the-case-of-the-spearman-rank-correlation
#4
Oscar L Olvera Astivia, Bruno D Zumbo
The purpose of this paper is to highlight the importance of a population model in guiding the design and interpretation of simulation studies used to investigate the Spearman rank correlation. The Spearman rank correlation has been known for over a hundred years to applied researchers and methodologists alike and is one of the most widely used non-parametric statistics. Still, certain misconceptions can be found, either explicitly or implicitly, in the published literature because a population definition for this statistic is rarely discussed within the social and behavioural sciences...
January 31, 2017: British Journal of Mathematical and Statistical Psychology
https://www.readbyqxmd.com/read/27958648/penalized-partial-likelihood-inference-of-proportional-hazards-latent-trait-models
#5
Hyeon-Ah Kang
The Cox proportional hazards model with a latent trait variable (Ranger & Ortner, 2012, Br. J. Math. Stat. Psychol., 65, 334) has shown promise in accounting for the dependency of response times from the same examinee. The model allows flexibility in shapes of response time distributions using the non-parametric baseline hazard rate while allowing parametric inference about the latent variable via exponential regression. The flexibility of the model, however, comes at the price of a significant increase in the complexity of estimating the model...
December 13, 2016: British Journal of Mathematical and Statistical Psychology
https://www.readbyqxmd.com/read/28130937/developing-new-online-calibration-methods-for-multidimensional-computerized-adaptive-testing
#6
Ping Chen, Chun Wang, Tao Xin, Hua-Hua Chang
Multidimensional computerized adaptive testing (MCAT) has received increasing attention over the past few years in educational measurement. Like all other formats of CAT, item replenishment is an essential part of MCAT for its item bank maintenance and management, which governs retiring overexposed or obsolete items over time and replacing them with new ones. Moreover, calibration precision of the new items will directly affect the estimation accuracy of examinees' ability vectors. In unidimensional CAT (UCAT) and cognitive diagnostic CAT, online calibration techniques have been developed to effectively calibrate new items...
February 2017: British Journal of Mathematical and Statistical Psychology
https://www.readbyqxmd.com/read/28130936/meta-cart-a-tool-to-identify-interactions-between-moderators-in-meta-analysis
#7
Xinru Li, Elise Dusseldorp, Jacqueline J Meulman
In the framework of meta-analysis, moderator analysis is usually performed only univariately. When several study characteristics are available that may account for treatment effect, standard meta-regression has difficulties in identifying interactions between them. To overcome this problem, meta-CART has been proposed: an approach that applies classification and regression trees (CART) to identify interactions, and then subgroup meta-analysis to test the significance of moderator effects. The previous version of meta-CART has its shortcomings: when applying CART, the sample sizes of studies are not taken into account, and the effect sizes are dichotomized around the median value...
February 2017: British Journal of Mathematical and Statistical Psychology
https://www.readbyqxmd.com/read/28130935/gaussian-model-based-partitioning-using-iterated-local-search
#8
Michael J Brusco, Emilie Shireman, Douglas Steinley, Susan Brudvig, J Dennis Cradit
The emergence of Gaussian model-based partitioning as a viable alternative to K-means clustering fosters a need for discrete optimization methods that can be efficiently implemented using model-based criteria. A variety of alternative partitioning criteria have been proposed for more general data conditions that permit elliptical clusters, different spatial orientations for the clusters, and unequal cluster sizes. Unfortunately, many of these partitioning criteria are computationally demanding, which makes the multiple-restart (multistart) approach commonly used for K-means partitioning less effective as a heuristic solution strategy...
February 2017: British Journal of Mathematical and Statistical Psychology
https://www.readbyqxmd.com/read/28130934/response-style-analysis-with-threshold-and-multi-process-irt-models-a-review-and-tutorial
#9
Ulf Böckenholt, Thorsten Meiser
Two different item response theory model frameworks have been proposed for the assessment and control of response styles in rating data. According to one framework, response styles can be assessed by analysing threshold parameters in Rasch models for ordinal data and in mixture-distribution extensions of such models. A different framework is provided by multi-process item response tree models, which can be used to disentangle response processes that are related to the substantive traits and response tendencies elicited by the response scale...
February 2017: British Journal of Mathematical and Statistical Psychology
https://www.readbyqxmd.com/read/28130933/editorial-acknowledgement
#10
(no author information available yet)
No abstract text is available yet for this article.
February 2017: British Journal of Mathematical and Statistical Psychology
https://www.readbyqxmd.com/read/28116783/bayesian-analysis-of-longitudinal-multitrait-multimethod-data-with-ordinal-response-variables
#11
Jana Holtmann, Tobias Koch, Johannes Bohn, Michael Eid
A new multilevel latent state graded response model for longitudinal multitrait-multimethod (MTMM) measurement designs combining structurally different and interchangeable methods is proposed. The model allows researchers to examine construct validity over time and to study the change and stability of constructs and method effects based on ordinal response variables. We show how Bayesian estimation techniques can address a number of important issues that typically arise in longitudinal multilevel MTMM studies and facilitates the estimation of the model presented...
February 2017: British Journal of Mathematical and Statistical Psychology
https://www.readbyqxmd.com/read/27996084/distance-stability-analysis-in-multidimensional-scaling-using-the-jackknife-method
#12
José Fernando Vera
Stability or sensitivity analysis is an important topic in data analysis that has received little attention in the application of multidimensional scaling (MDS), for which the only available approaches are given in terms of a coordinate-based analytical jackknife methodology. Although in MDS the prime interest is in assessing the stability of the points in the configuration, this methodology may be influenced by imprecisions resulting from the inherently necessary Procrustes method. This paper proposes an analytical distance-based jackknife procedure to study stability and cross-validation in MDS in terms of the jackknife distances, which is not influenced by the Procrustes method...
February 2017: British Journal of Mathematical and Statistical Psychology
https://www.readbyqxmd.com/read/27958642/a-tutorial-on-how-to-do-a-mokken-scale-analysis-on-your-test-and-questionnaire-data
#13
Klaas Sijtsma, L Andries van der Ark
Over the past decade, Mokken scale analysis (MSA) has rapidly grown in popularity among researchers from many different research areas. This tutorial provides researchers with a set of techniques and a procedure for their application, such that the construction of scales that have superior measurement properties is further optimized, taking full advantage of the properties of MSA. First, we define the conceptual context of MSA, discuss the two item response theory (IRT) models that constitute the basis of MSA, and discuss how these models differ from other IRT models...
February 2017: British Journal of Mathematical and Statistical Psychology
https://www.readbyqxmd.com/read/27711981/assessing-moderated-mediation-in-linear-models-requires-fewer-confounding-assumptions-than-assessing-mediation
#14
Tom Loeys, Wouter Talloen, Liesbet Goubert, Beatrijs Moerkerke, Stijn Vansteelandt
It is well known from the mediation analysis literature that the identification of direct and indirect effects relies on strong no unmeasured confounding assumptions of no unmeasured confounding. Even in randomized studies the mediator may still be correlated with unobserved prognostic variables that affect the outcome, in which case the mediator's role in the causal process may not be inferred without bias. In the behavioural and social science literature very little attention has been given so far to the causal assumptions required for moderated mediation analysis...
November 2016: British Journal of Mathematical and Statistical Psychology
https://www.readbyqxmd.com/read/27458986/a-short-note-on-the-maximal-point-biserial-correlation-under-non-normality
#15
Ying Cheng, Haiyan Liu
The aim of this paper is to derive the maximal point-biserial correlation under non-normality. Several widely used non-normal distributions are considered, namely the uniform distribution, t-distribution, exponential distribution, and a mixture of two normal distributions. Results show that the maximal point-biserial correlation, depending on the non-normal continuous variable underlying the binary manifest variable, may not be a function of p (the probability that the dichotomous variable takes the value 1), can be symmetric or non-symmetric around p = ...
November 2016: British Journal of Mathematical and Statistical Psychology
https://www.readbyqxmd.com/read/27458827/the-relationship-between-multilevel-models-and-non-parametric-multilevel-mixture-models-discrete-approximation-of-intraclass-correlation-random-coefficient-distributions-and-residual-heteroscedasticity
#16
Jason D Rights, Sonya K Sterba
Multilevel data structures are common in the social sciences. Often, such nested data are analysed with multilevel models (MLMs) in which heterogeneity between clusters is modelled by continuously distributed random intercepts and/or slopes. Alternatively, the non-parametric multilevel regression mixture model (NPMM) can accommodate the same nested data structures through discrete latent class variation. The purpose of this article is to delineate analytic relationships between NPMM and MLM parameters that are useful for understanding the indirect interpretation of the NPMM as a non-parametric approximation of the MLM, with relaxed distributional assumptions...
November 2016: British Journal of Mathematical and Statistical Psychology
https://www.readbyqxmd.com/read/27435032/on-initial-item-selection-in-cognitive-diagnostic-computerized-adaptive-testing
#17
Gongjun Xu, Chun Wang, Zhuoran Shang
There has recently been much interest in computerized adaptive testing (CAT) for cognitive diagnosis. While there exist various item selection criteria and different asymptotically optimal designs, these are mostly constructed based on the asymptotic theory assuming the test length goes to infinity. In practice, with limited test lengths, the desired asymptotic optimality may not always apply, and there are few studies in the literature concerning the optimal design of finite items. Related questions, such as how many items we need in order to be able to identify the attribute pattern of an examinee and what types of initial items provide the optimal classification results, are still open...
November 2016: British Journal of Mathematical and Statistical Psychology
https://www.readbyqxmd.com/read/27404336/limited-information-goodness-of-fit-testing-of-diagnostic-classification-item-response-models
#18
Mark Hansen, Li Cai, Scott Monroe, Zhen Li
Despite the growing popularity of diagnostic classification models (e.g., Rupp et al., 2010, Diagnostic measurement: theory, methods, and applications, Guilford Press, New York, NY) in educational and psychological measurement, methods for testing their absolute goodness of fit to real data remain relatively underdeveloped. For tests of reasonable length and for realistic sample size, full-information test statistics such as Pearson's X(2) and the likelihood ratio statistic G(2) suffer from sparseness in the underlying contingency table from which they are computed...
November 2016: British Journal of Mathematical and Statistical Psychology
https://www.readbyqxmd.com/read/27339626/properties-of-bootstrap-tests-for-n-of-1-studies
#19
Sharon X Lin, Leanne Morrison, Peter W F Smith, Charlie Hargood, Mark Weal, Lucy Yardley
N-of-1 study designs involve the collection and analysis of repeated measures data from an individual not using an intervention and using an intervention. This study explores the use of semi-parametric and parametric bootstrap tests in the analysis of N-of-1 studies under a single time series framework in the presence of autocorrelation. When the Type I error rates of bootstrap tests are compared to Wald tests, our results show that the bootstrap tests have more desirable properties. We compare the results for normally distributed errors with those for contaminated normally distributed errors and find that, except when there is relatively large autocorrelation, there is little difference between the power of the parametric and semi-parametric bootstrap tests...
November 2016: British Journal of Mathematical and Statistical Psychology
https://www.readbyqxmd.com/read/27317397/a-sequential-cognitive-diagnosis-model-for-polytomous-responses
#20
Wenchao Ma, Jimmy de la Torre
This paper proposes a general polytomous cognitive diagnosis model for a special type of graded responses, where item categories are attained in a sequential manner, and associated with some attributes explicitly. To relate categories to attributes, a category-level Q-matrix is used. When the attribute and category association is specified a priori, the proposed model has the flexibility to allow different cognitive processes (e.g., conjunctive, disjunctive) to be modelled at different categories within a single item...
November 2016: British Journal of Mathematical and Statistical Psychology
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