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Adrian Quintero; Emmanuel Lesaffre; Geert Verbeke – Journal of Educational and Behavioral Statistics, 2024
Bayesian methods to infer model dimensionality in factor analysis generally assume a lower triangular structure for the factor loadings matrix. Consequently, the ordering of the outcomes influences the results. Therefore, we propose a method to infer model dimensionality without imposing any prior restriction on the loadings matrix. Our approach…
Descriptors: Bayesian Statistics, Factor Analysis, Factor Structure, Sampling
Rouder, Jeffrey N.; Morey, Richard D. – Multivariate Behavioral Research, 2012
In this article, we present a Bayes factor solution for inference in multiple regression. Bayes factors are principled measures of the relative evidence from data for various models or positions, including models that embed null hypotheses. In this regard, they may be used to state positive evidence for a lack of an effect, which is not possible…
Descriptors: Bayesian Statistics, Multiple Regression Analysis, Factor Analysis, Statistical Inference
Austerweil, Joseph L.; Griffiths, Thomas L. – Cognitive Psychology, 2011
Most psychological theories treat the features of objects as being fixed and immediately available to observers. However, novel objects have an infinite array of properties that could potentially be encoded as features, raising the question of how people learn which features to use in representing those objects. We focus on the effects of…
Descriptors: Visual Stimuli, Novelty (Stimulus Dimension), Bayesian Statistics, Learning