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| Bayesian Dose-Response Analysis× | Bayesiläinen verkko× | |
|---|---|---|
| Tieteenala≠ | Epidemiologia | Bayesilainen tilastotiede |
| Menetelmäperhe≠ | Process / pipeline | Bayesian methods |
| Syntyvuosi≠ | 1990s–2000s (Bayesian formalization) | 1988 |
| Kehittäjä≠ | Developed from classical frequentist dose-response traditions; Bayesian formulations advanced by Dempster, Gelman, and colleagues | Judea Pearl |
| Tyyppi≠ | Statistical modeling approach | Probabilistic graphical model |
| Alkuperäislähde≠ | Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A., & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955 | Pearl, J. (1988). Probabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference. Morgan Kaufmann. ISBN: 978-1558604797 |
| Rinnakkaisnimet≠ | Bayesian DRA, Bayesian dose-response modeling, Bayesian benchmark dose analysis, BDR | Bayes network, belief network, probabilistic graphical model, directed graphical model |
| Liittyvät≠ | 3 | 4 |
| Tiivistelmä≠ | Bayesian dose-response analysis models the relationship between the level of exposure (dose) to a substance and the magnitude or probability of a biological response, embedding that model in a Bayesian probabilistic framework. Unlike frequentist approaches that yield a single point estimate with confidence intervals, the Bayesian framework produces a full posterior distribution over model parameters, allowing explicit quantification of uncertainty, incorporation of prior scientific knowledge, and principled model averaging. It is widely applied in toxicology, pharmacology, environmental risk assessment, and clinical dose-finding studies. | A Bayesian network is a probabilistic graphical model, introduced by Judea Pearl in 1988, that encodes a set of variables and their conditional dependencies as a directed acyclic graph (DAG). Each node represents a variable; each directed edge encodes a direct probabilistic influence. By combining Bayes' rule with the graph's conditional independence structure, the model supports reasoning under uncertainty — computing the probability of any variable given observed evidence about others. |
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