Prior elicitation for Gaussian spatial process: An application to TMS brain mapping.
- Resource Type
- Academic Journal
- Authors
- Egbon OA; Institute of Mathematical and Computer Sciences, Universidade de São Paulo, São Carlos, Brazil.; Department of Statistics, Universidade Federal de São Carlos, São Carlos, Brazil.; Institute of Statistics, Ludwig-Maximilians-Universität München, Munich, Germany.; Nascimento D; Departamento de Matemáticas, Universidad de Atacama, Copiapó, Chile.; Louzada F; Institute of Mathematical and Computer Sciences, Universidade de São Paulo, São Carlos, Brazil.
- Source
- Publisher: Wiley Country of Publication: England NLM ID: 8215016 Publication Model: Print-Electronic Cited Medium: Internet ISSN: 1097-0258 (Electronic) Linking ISSN: 02776715 NLM ISO Abbreviation: Stat Med Subsets: MEDLINE
- Subject
- Language
- English
The power and commensurate prior distributions are informative prior distributions that incorporate historical data as prior knowledge in Bayesian analysis to improve inference about a phenomenon under study. Although these distributions have been developed for analyzing non-spatial data, little or no attention has been given to spatial geostatistical data. In this study, we extend these informative prior distributions to a Gaussian spatial process, which enables the elicitation of prior knowledge from historical geostatistical data for Bayesian analysis. Three informative prior distributions were developed for spatial modeling, and an efficient Markov Chain Monte Carlo algorithm was developed for performing Bayesian analysis. Simulation studies were used to assess the adequacy of the informative prior distributions. Hierarchical models combined with the developed informative prior distributions were applied to analyze transcranial magnetic stimulation (TMS) brain mapping data to gain insights into the spatial pattern of a patient's response to motor cortex stimulation. The study quantified the uncertainty in motor response and found that the primary motor cortex of the hand is responsible for most of the movement of the right first dorsal interosseous muscle. The findings provide a deeper understanding of the neural mechanisms underlying motor function and ultimately aid the improvement of treatment options for individuals with health issues.
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