Academic Journal
Bayesian inference of causal effects from observational data in Gaussian graphical models
| العنوان: | Bayesian inference of causal effects from observational data in Gaussian graphical models |
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| المؤلفون: | Castelletti F., Consonni G. |
| المساهمون: | Castelletti, F, Consonni, G |
| بيانات النشر: | GB Oxford University Press |
| سنة النشر: | 2021 |
| المجموعة: | Università degli Studi di Milano-Bicocca: BOA (Bicocca Open Archive) |
| مصطلحات موضوعية: | causal inference, directed acyclic graph, graphical model, Markov equivalence cla, objective Baye, observational data |
| الوصف: | We assume that multivariate observational data are generated from a distribution whose conditional independencies are encoded in a Directed Acyclic Graph (DAG). For any given DAG, the causal effect of a variable onto another one can be evaluated through intervention calculus. A DAG is typically not identifiable from observational data alone. However, its Markov equivalence class (a collection of DAGs) can be estimated from the data. As a consequence, for the same intervention a set of causal effects, one for each DAG in the equivalence class, can be evaluated. In this paper, we propose a fully Bayesian methodology to make inference on the causal effects of any intervention in the system. Main features of our method are: (a) both uncertainty on the equivalence class and the causal effects are jointly modeled; (b) priors on the parameters of the modified Cholesky decomposition of the precision matrices across all DAG models are constructively assigned starting from a unique prior on the complete (unrestricted) DAG; (c) an efficient algorithm to sample from the posterior distribution on graph space is adopted; (d) an objective Bayes approach, requiring virtually no user specification, is used throughout. We demonstrate the merits of our methodology in simulation studies, wherein comparisons with current state-of-the-art procedures turn out to be highly satisfactory. Finally we examine a real data set of gene expressions for Arabidopsis thaliana. |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | STAMPA |
| اللغة: | English |
| Relation: | info:eu-repo/semantics/altIdentifier/pmid/32294233; info:eu-repo/semantics/altIdentifier/wos/WOS:000530916800001; volume:77; issue:1; firstpage:136; lastpage:149; numberofpages:14; journal:BIOMETRICS; https://hdl.handle.net/10281/503562; info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85085080011 |
| DOI: | 10.1111/biom.13281 |
| الاتاحة: | https://hdl.handle.net/10281/503562 https://doi.org/10.1111/biom.13281 |
| Rights: | info:eu-repo/semantics/closedAccess |
| رقم الانضمام: | edsbas.B43DA8E3 |
| قاعدة البيانات: | BASE |
| DOI: | 10.1111/biom.13281 |
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