A Bayes factor framework for unified parameter estimation and hypothesis testing
British Journal of Mathematical and Statistical Psychology, EarlyView.Abstract The Bayes factor, the data‐based updating factor of the prior to posterior odds of two hypotheses, is a natural measure of statistical evidence for one hypothesis over the other. We show how Bayes factors can also be used for parameter estimation.
Samuel Pawel
wiley +1 more source
With random regressors, least squares inference is robust to correlated errors with unknown correlation structure. [PDF]
BiometrikaZhang Z, Ding P, Zhou W, Wang H.
europepmc +1 more source
British Journal of Mathematical and Statistical Psychology, EarlyView.Abstract Generalizability theory (G‐theory) defines a statistical framework for assessing measurement reliability by decomposing observed variance into meaningful components attributable to persons, facets, and error. Classic G‐theory assumes homoscedastic residual variances across measurement conditions, an assumption that is often violated in ...
Philippe Rast, Peter E. Clayson
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Integrated airborne gamma-ray spectrometry, aeromagnetic analysis, and radiological assessment of sedimentary rocks, West Qasr El-Farafra area, Egypt. [PDF]
Sci RepEl-Hawary AM +3 more
europepmc +1 more source
Local asymptotic normality for normal inverse Gaussian Lévy processes with high-frequency sampling
We prove the local asymptotic normality for the full parameters of the normal inverse Gaussian Levy process, when we observe high-frequency and long-term data. The rates of convergence turn out to be of two kinds for the dominating parameters.
Masuda, Hiroki +5 more
core
Asymptotic standard errors for reliability coefficients in item response theory
British Journal of Mathematical and Statistical Psychology, EarlyView.Abstract In a recent review, Liu et al. (Psychological Methods, 2025b) classified reliability coefficients into two types: classical test theory (CTT) reliability and proportional reduction in mean squared error (PRMSE). This article focuses on quantifying the sampling variability of these coefficients under item response theory (IRT) models.
Youjin Sung, Yang Liu
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Life-history and reproductive traits of a key coral reef fishery species: the longnose emperor (<i>Lethrinus olivaceus</i>) in Palau. [PDF]
PeerJMuller Karanassos C +6 more
europepmc +1 more source
To vary or not to vary: A flexible empirical Bayes factor for testing variance components
British Journal of Mathematical and Statistical Psychology, EarlyView.Abstract Random effects are the gold standard for capturing structural heterogeneity, such as individual differences or temporal dependence. Yet testing their presence is difficult because variance components are constrained to be non‐negative, creating a boundary problem. This paper introduces a flexible empirical Bayes factor (EBF) for testing random
Fabio Vieira, Hongwei Zhao, Joris Mulder
wiley +1 more source
A RECURSIVE STOCHASTIC ALGORITHM FOR REAL-TIME ONLINE PARAMETER ESTIMATION IN ITEM RESPONSE THEORY: ENHANCING COMPUTATIONAL EFFICIENCY FOR DYNAMIC EDUCATIONAL ASSESSMENT. [PDF]
PsychometrikaXu S, Lu J, Zhang J.
europepmc +1 more source
Approximating multidimensionality with asymmetric unidimensional IRT models
British Journal of Mathematical and Statistical Psychology, EarlyView.Abstract Unidimensional item response theory (IRT) models are widely used even in settings where assessment data exhibit subtle forms of multidimensionality. Recent empirical evidence suggests that when item difficulty is associated with dimensionality, asymmetric item characteristic curves (ICCs) emerge in the unidimensional approximation.
Xiangyi Liao +5 more
wiley +1 more source