Small Sample Properties of Bayesian Multivariate Autoregressive Time Series Models
- 20 January 2012
- journal article
- research article
- Published by Informa UK Limited in Structural Equation Modeling: A Multidisciplinary Journal
- Vol. 19 (1), 51-64
- https://doi.org/10.1080/10705511.2012.634712
Abstract
The aim of this study was to compare the small sample (N = 1, 3, 5, 10, 15) performance of a Bayesian multivariate vector autoregressive (BVAR-SEM) time series model relative to frequentist power and parameter estimation bias. A multivariate autoregressive model was developed based on correlated autoregressive time series vectors of varying lengths (T = 25, 50, 75, 100, 125) using Statistical Analysis System (SAS) version 9.2. Autoregressive components for the 5 series vectors included coefficients of .80, .70, .65, .50 and .40. Error variance components included values of .20, .20, .10, .15, and .15, with cross-lagged coefficients of .10, .10, .15, .10, and .10. A Monte Carlo study revealed that in comparison to frequentist methods, the Bayesian approach provided increased sensitivity for hypothesis testing and detecting Type I error.Keywords
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