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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
Shrout, Patrick E. – Multivariate Behavioral Research, 2011
Maxwell, Cole, and Mitchell (2011) extended the work of Maxwell and Cole (2007), which raised important questions about whether mediation analyses based on cross-sectional data can shed light on longitudinal mediation process. The latest article considers longitudinal processes that can only be partially explained by an intervening variable, and…
Descriptors: Causal Models, Psychopathology, Peer Mediation, Longitudinal Studies
A Class of Population Covariance Matrices in the Bootstrap Approach to Covariance Structure Analysis
Yuan, Ke-Hai; Hayashi, Kentaro; Yanagihara, Hirokazu – Multivariate Behavioral Research, 2007
Model evaluation in covariance structure analysis is critical before the results can be trusted. Due to finite sample sizes and unknown distributions of real data, existing conclusions regarding a particular statistic may not be applicable in practice. The bootstrap procedure automatically takes care of the unknown distribution and, for a given…
Descriptors: Multivariate Analysis, Statistical Analysis, Statistical Inference, Matrices