We provide a general Bayesian model for combining forecasts from experts (or forecasting models) who might be biased and correlated with each other. The combination procedure involves debiasing and then combining unbiased forecasts. We also provide a sequential method for learning about the forecast
Bayesian comparison of spatially regularised general linear models
β Scribed by Will Penny; Guillaume Flandin; Nelson Trujillo-Barreto
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 619 KB
- Volume
- 28
- Category
- Article
- ISSN
- 1065-9471
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
In previous work (Penny et al., [2005]: Neuroimage 24:350β362) we have developed a spatially regularised General Linear Model for the analysis of functional magnetic resonance imaging data that allows for the characterisation of regionally specific effects using Posterior Probability Maps (PPMs). In this paper we show how it also provides an approximation to the model evidence. This is important as it is the basis of Bayesian model comparison and provides a unified framework for Bayesian Analysis of Variance, Cluster of Interest analyses and the principled selection of signal and noise models. We also provide extensions that implement spatial and anatomical regularisation of noise process parameters. Hum Brain Mapp 2007. Β© 2006 WileyβLiss, Inc.
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