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British Journal of Mathematical and Statistical Psychology

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https://www.readbyqxmd.com/read/29086416/approximations-to-the-distribution-of-a-test-statistic-in-covariance-structure-analysis-a-comprehensive-study
#1
Hao Wu
In structural equation modelling (SEM), a robust adjustment to the test statistic or to its reference distribution is needed when its null distribution deviates from a χ(2) distribution, which usually arises when data do not follow a multivariate normal distribution. Unfortunately, existing studies on this issue typically focus on only a few methods and neglect the majority of alternative methods in statistics. Existing simulation studies typically consider only non-normal distributions of data that either satisfy asymptotic robustness or lead to an asymptotic scaled χ(2) distribution...
October 31, 2017: British Journal of Mathematical and Statistical Psychology
https://www.readbyqxmd.com/read/29080215/two-stage-maximum-likelihood-estimation-in-the-misspecified-restricted-latent-class-model
#2
Shiyu Wang
The maximum likelihood classification rule is a standard method to classify examinee attribute profiles in cognitive diagnosis models (CDMs). Its asymptotic behaviour is well understood when the model is assumed to be correct, but has not been explored in the case of misspecified latent class models. This paper investigates the asymptotic behaviour of a two-stage maximum likelihood classifier under a misspecified CDM. The analysis is conducted in a general restricted latent class model framework addressing all types of CDMs...
October 28, 2017: British Journal of Mathematical and Statistical Psychology
https://www.readbyqxmd.com/read/29044460/a-semi-parametric-within-subject-mixture-approach-to-the-analyses-of-responses-and-response-times
#3
Dylan Molenaar, Maria Bolsinova, Jeroen K Vermunt
In item response theory, modelling the item response times in addition to the item responses may improve the detection of possible between- and within-subject differences in the process that resulted in the responses. For instance, if respondents rely on rapid guessing on some items but not on all, the joint distribution of the responses and response times will be a multivariate within-subject mixture distribution. Suitable parametric methods to detect these within-subject differences have been proposed. In these approaches, a distribution needs to be assumed for the within-class response times...
October 17, 2017: British Journal of Mathematical and Statistical Psychology
https://www.readbyqxmd.com/read/28898401/testing-autocorrelation-and-partial-autocorrelation-asymptotic-methods-versus-resampling-techniques
#4
Zijun Ke, Zhiyong Johnny Zhang
Autocorrelation and partial autocorrelation, which provide a mathematical tool to understand repeating patterns in time series data, are often used to facilitate the identification of model orders of time series models (e.g., moving average and autoregressive models). Asymptotic methods for testing autocorrelation and partial autocorrelation such as the 1/T approximation method and the Bartlett's formula method may fail in finite samples and are vulnerable to non-normality. Resampling techniques such as the moving block bootstrap and the surrogate data method are competitive alternatives...
September 12, 2017: British Journal of Mathematical and Statistical Psychology
https://www.readbyqxmd.com/read/28898399/bias-corrected-estimation-of-the-rudas-clogg-lindsay-mixture-index-of-fit
#5
Jenő Reiczigel, Márton Ispány, Gábor Tusnády, György Michaletzky, Marco Marozzi
Rudas, Clogg, and Lindsay (1994, J. R Stat Soc. Ser. B, 56, 623) introduced the so-called mixture index of fit, also known as pi-star (π*), for quantifying the goodness of fit of a model. It is the lowest proportion of 'contamination' which, if removed from the population or from the sample, makes the fit of the model perfect. The mixture index of fit has been widely used in psychometric studies. We show that the asymptotic confidence limits proposed by Rudas et al. (1994, J. R Stat Soc. Ser. B, 56, 623) as well as the jackknife confidence interval by Dayton (, Br...
September 12, 2017: British Journal of Mathematical and Statistical Psychology
https://www.readbyqxmd.com/read/28872673/direction-of-dependence-in-measurement-error-models
#6
Wolfgang Wiedermann, Edgar C Merkle, Alexander von Eye
Methods to determine the direction of a regression line, that is, to determine the direction of dependence in reversible linear regression models (e.g., x→y vs. y→x), have experienced rapid development within the last decade. However, previous research largely rested on the assumption that the true predictor is measured without measurement error. The present paper extends the direction dependence principle to measurement error models. First, we discuss asymmetric representations of the reliability coefficient in terms of higher moments of variables and the attenuation of skewness and excess kurtosis due to measurement error...
September 5, 2017: British Journal of Mathematical and Statistical Psychology
https://www.readbyqxmd.com/read/28872185/cognitive-diagnosis-modelling-incorporating-item-response-times
#7
Peida Zhan, Hong Jiao, Dandan Liao
To provide more refined diagnostic feedback with collateral information in item response times (RTs), this study proposed joint modelling of attributes and response speed using item responses and RTs simultaneously for cognitive diagnosis. For illustration, an extended deterministic input, noisy 'and' gate (DINA) model was proposed for joint modelling of responses and RTs. Model parameter estimation was explored using the Bayesian Markov chain Monte Carlo (MCMC) method. The PISA 2012 computer-based mathematics data were analysed first...
September 5, 2017: British Journal of Mathematical and Statistical Psychology
https://www.readbyqxmd.com/read/28872186/asymptotic-confidence-intervals-for-the-pearson-correlation-via-skewness-and-kurtosis
#8
Anthony J Bishara, Jiexiang Li, Thomas Nash
When bivariate normality is violated, the default confidence interval of the Pearson correlation can be inaccurate. Two new methods were developed based on the asymptotic sampling distribution of Fisher's z' under the general case where bivariate normality need not be assumed. In Monte Carlo simulations, the most successful of these methods relied on the (Vale & Maurelli, 1983, Psychometrika, 48, 465) family to approximate a distribution via the marginal skewness and kurtosis of the sample data. In Simulation 1, this method provided more accurate confidence intervals of the correlation in non-normal data, at least as compared to no adjustment of the Fisher z' interval, or to adjustment via the sample joint moments...
September 4, 2017: British Journal of Mathematical and Statistical Psychology
https://www.readbyqxmd.com/read/28868792/circular-interpretation-of-regression-coefficients
#9
Jolien Cremers, Kees Tim Mulder, Irene Klugkist
The interpretation of the effect of predictors in projected normal regression models is not straight-forward. The main aim of this paper is to make this interpretation easier such that these models can be employed more readily by social scientific researchers. We introduce three new measures: the slope at the inflection point (bc ), average slope (AS) and slope at mean (SAM) that help us assess the marginal effect of a predictor in a Bayesian projected normal regression model. The SAM or AS are preferably used in situations where the data for a specific predictor do not lie close to the inflection point of a circular regression curve...
September 4, 2017: British Journal of Mathematical and Statistical Psychology
https://www.readbyqxmd.com/read/28857129/approximated-adjusted-fractional-bayes-factors-a-general-method-for-testing-informative-hypotheses
#10
Xin Gu, Joris Mulder, Herbert Hoijtink
Informative hypotheses are increasingly being used in psychological sciences because they adequately capture researchers' theories and expectations. In the Bayesian framework, the evaluation of informative hypotheses often makes use of default Bayes factors such as the fractional Bayes factor. This paper approximates and adjusts the fractional Bayes factor such that it can be used to evaluate informative hypotheses in general statistical models. In the fractional Bayes factor a fraction parameter must be specified which controls the amount of information in the data used for specifying an implicit prior...
August 31, 2017: British Journal of Mathematical and Statistical Psychology
https://www.readbyqxmd.com/read/28990184/corrigendum
#11
(no author information available yet)
No abstract text is available yet for this article.
November 2017: British Journal of Mathematical and Statistical Psychology
https://www.readbyqxmd.com/read/28664985/sample-size-determination-for-a-matched-pairs-study-with-incomplete-data-using-exact-approach
#12
Guogen Shan, Charles Bernick, Sarah Banks
This research was motivated by a clinical trial design for a cognitive study. The pilot study was a matched-pairs design where some data are missing, specifically the missing data coming at the end of the study. Existing approaches to determine sample size are all based on asymptotic approaches (e.g., the generalized estimating equation (GEE) approach). When the sample size in a clinical trial is small to medium, these asymptotic approaches may not be appropriate for use due to the unsatisfactory Type I and II error rates...
June 30, 2017: British Journal of Mathematical and Statistical Psychology
https://www.readbyqxmd.com/read/28664975/regression-away-from-the-mean-theory-and-examples
#13
Wolf Schwarz, Dennis Reike
Using a standard repeated measures model with arbitrary true score distribution and normal error variables, we present some fundamental closed-form results which explicitly indicate the conditions under which regression effects towards (RTM) and away from the mean are expected. Specifically, we show that for skewed and bimodal distributions many or even most cases will show a regression effect that is in expectation away from the mean, or that is not just towards but actually beyond the mean. We illustrate our results in quantitative detail with typical examples from experimental and biometric applications, which exhibit a clear regression away from the mean ('egression from the mean') signature...
June 30, 2017: British Journal of Mathematical and Statistical Psychology
https://www.readbyqxmd.com/read/28635139/improving-precision-of-ability-estimation-getting-more-from-response-times
#14
Maria Bolsinova, Jesper Tijmstra
By considering information about response time (RT) in addition to response accuracy (RA), joint models for RA and RT such as the hierarchical model (van der Linden, 2007) can improve the precision with which ability is estimated over models that only consider RA. The hierarchical model, however, assumes that only the person's speed is informative of ability. This assumption of conditional independence between RT and ability given speed may be violated in practice, and ignores collateral information about ability that may be present in the residual RTs...
June 21, 2017: British Journal of Mathematical and Statistical Psychology
https://www.readbyqxmd.com/read/28631350/standard-errors-and-confidence-intervals-for-correlations-corrected-for-indirect-range-restriction-a-simulation-study-comparing-analytic-and-bootstrap-methods
#15
Tamar Kennet-Cohen, Dvir Kleper, Elliot Turvall
A frequent topic of psychological research is the estimation of the correlation between two variables from a sample that underwent a selection process based on a third variable. Due to indirect range restriction, the sample correlation is a biased estimator of the population correlation, and a correction formula is used. In the past, bootstrap standard error and confidence intervals for the corrected correlations were examined with normal data. The present study proposes a large-sample estimate (an analytic method) for the standard error, and a corresponding confidence interval for the corrected correlation...
June 20, 2017: British Journal of Mathematical and Statistical Psychology
https://www.readbyqxmd.com/read/28568313/anova-and-the-variance-homogeneity-assumption-exploring-a-better-gatekeeper
#16
Yoosun Jamie Kim, Robert A Cribbie
Valid use of the traditional independent samples ANOVA procedure requires that the population variances are equal. Previous research has investigated whether variance homogeneity tests, such as Levene's test, are satisfactory as gatekeepers for identifying when to use or not to use the ANOVA procedure. This research focuses on a novel homogeneity of variance test that incorporates an equivalence testing approach. Instead of testing the null hypothesis that the variances are equal against an alternative hypothesis that the variances are not equal, the equivalence-based test evaluates the null hypothesis that the difference in the variances falls outside or on the border of a predetermined interval against an alternative hypothesis that the difference in the variances falls within the predetermined interval...
June 1, 2017: British Journal of Mathematical and Statistical Psychology
https://www.readbyqxmd.com/read/28547838/more-efficient-parameter-estimates-for-factor-analysis-of-ordinal-variables-by-ridge-generalized-least-squares
#17
Ke-Hai Yuan, Ge Jiang, Ying Cheng
Data in psychology are often collected using Likert-type scales, and it has been shown that factor analysis of Likert-type data is better performed on the polychoric correlation matrix than on the product-moment covariance matrix, especially when the distributions of the observed variables are skewed. In theory, factor analysis of the polychoric correlation matrix is best conducted using generalized least squares with an asymptotically correct weight matrix (AGLS). However, simulation studies showed that both least squares (LS) and diagonally weighted least squares (DWLS) perform better than AGLS, and thus LS or DWLS is routinely used in practice...
May 26, 2017: British Journal of Mathematical and Statistical Psychology
https://www.readbyqxmd.com/read/28474772/modelling-individual-response-time-effects-between-and-within-experimental-speed-conditions-a-glmm-approach-for-speeded-tests
#18
Frank Goldhammer, Merle A Steinwascher, Ulf Kroehne, Johannes Naumann
Completing test items under multiple speed conditions avoids the performance measure being confounded with individual differences in the speed-accuracy compromise, and offers insights into the response process, that is, how response time relates to the probability of a correct response. This relation is traditionally represented by two conceptually different functions: the speed-accuracy trade-off function (SATF) across conditions relating the condition average response time to the condition average of accuracy, and the conditional accuracy function (CAF) within a condition describing accuracy conditional on response time...
May 2017: British Journal of Mathematical and Statistical Psychology
https://www.readbyqxmd.com/read/28474771/parameter-recovery-bias-and-standard-errors-in-the-linear-ballistic-accumulator-model
#19
Ingmar Visser, Rens Poessé
The linear ballistic accumulator (LBA) model (Brown & Heathcote, , Cogn. Psychol., 57, 153) is increasingly popular in modelling response times from experimental data. An R package, glba, has been developed to fit the LBA model using maximum likelihood estimation which is validated by means of a parameter recovery study. At sufficient sample sizes parameter recovery is good, whereas at smaller sample sizes there can be large bias in parameters. In a second simulation study, two methods for computing parameter standard errors are compared...
May 2017: British Journal of Mathematical and Statistical Psychology
https://www.readbyqxmd.com/read/28474770/analysing-model-fit-of-psychometric-process-models-an-overview-a-new-test-and-an-application-to-the-diffusion-model
#20
Jochen Ranger, Jörg-Tobias Kuhn, Carsten Szardenings
Cognitive psychometric models embed cognitive process models into a latent trait framework in order to allow for individual differences. Due to their close relationship to the response process the models allow for profound conclusions about the test takers. However, before such a model can be used its fit has to be checked carefully. In this manuscript we give an overview over existing tests of model fit and show their relation to the generalized moment test of Newey (Econometrica, 53, 1985, 1047) and Tauchen (J...
May 2017: British Journal of Mathematical and Statistical Psychology
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