The British Journal of Mathematical and Statistical Psychology This is an RSS file. You can use it to subscribe to this data in your favourite RSS reader or to display this data on your own website or blog.

The effective sample size in Bayesian information criterion for level-specific fixed and random-effect selection in a two-level nested model
In this study, we derive the BIC's penalty term for level-specific fixed- and random-effect selection in a two-level nested design. In this new version of BIC, called BIC E 1 , this penalty term is decomposed into two parts if the random-effect variance-covariance matrix has full rank: (a) a term with the log of average sample size per cluster and (b) the total number of parameters times the log of the total number of clusters. Furthermore, we derive the new version of BIC, called BIC E 2 , in the presence of redundant random effects. We show that the derived formulae, BIC E 1 and BIC E 2 , adhere t...
Source: The British Journal of Mathematical and Statistical Psychology - April 9, 2024 Category: Statistics Authors: Sun-Joo Cho Hao Wu Matthew Naveiras Source Type: research

A two-step item bank calibration strategy based on 1-bit matrix completion for small-scale computerized adaptive testing
This study addresses these challenges by developing a two-step item bank calibration strategy that leverages the 1-bit matrix completion method in conjunction with two distinct incomplete pretesting designs. We introduce two novel 1-bit matrix completion-based imputation methods specifically designed to tackle the issues associated with item calibration in the presence of sparse response data and limited sample sizes. To demonstrate the effectiveness of these approaches, we conduct a comparative assessment against several established item parameter estimation methods capable of handling missing data. This evaluation is car...
Source: The British Journal of Mathematical and Statistical Psychology - April 5, 2024 Category: Statistics Authors: Yawei Shen Shiyu Wang Houping Xiao Source Type: research

A comparison of different measures of the proportion of explained variance in multiply imputed data sets
Br J Math Stat Psychol. 2024 Apr 5. doi: 10.1111/bmsp.12344. Online ahead of print.ABSTRACTThe proportion of explained variance is an important statistic in multiple regression for determining how well the outcome variable is predicted by the predictors. Earlier research on 20 different estimators for the proportion of explained variance, including the exact Olkin-Pratt estimator and the Ezekiel estimator, showed that the exact Olkin-Pratt estimator produced unbiased estimates, and was recommended as a default estimator. In the current study, the same 20 estimators were studied in incomplete data, with missing data being t...
Source: The British Journal of Mathematical and Statistical Psychology - April 5, 2024 Category: Statistics Authors: Joost R van Ginkel Julian D Karch Source Type: research

Sample size determination for interval estimation of the prevalence of a sensitive attribute under non-randomized response models
Br J Math Stat Psychol. 2024 Feb 26. doi: 10.1111/bmsp.12338. Online ahead of print.ABSTRACTA sufficient number of participants should be included to adequately address the research interest in the surveys with sensitive questions. In this paper, sample size formulas/iterative algorithms are developed from the perspective of controlling the confidence interval width of the prevalence of a sensitive attribute under four non-randomized response models: the crosswise model, parallel model, Poisson item count technique model and negative binomial item count technique model. In contrast to the conventional approach for sample s...
Source: The British Journal of Mathematical and Statistical Psychology - February 27, 2024 Category: Statistics Authors: Shi-Fang Qiu Jie Lei Wai-Yin Poon Man-Lai Tang Ricky S Wong Ji-Ran Tao Source Type: research