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| Phân tích Tương quan Liều-Đáp ứng Bayes× | Hồi quy Logistic× | Phân tích sống còn× | |
|---|---|---|---|
| Lĩnh vực≠ | Dịch tễ học | Thống kê nghiên cứu | Thống kê nghiên cứu |
| Họ | Process / pipeline | Process / pipeline | Process / pipeline |
| Năm ra đời≠ | 1990s–2000s (Bayesian formalization) | 1958 | 1958 |
| Người khởi xướng≠ | Developed from classical frequentist dose-response traditions; Bayesian formulations advanced by Dempster, Gelman, and colleagues | David Roxbee Cox | Edward L. Kaplan and Paul Meier |
| Loại≠ | Statistical modeling approach | Method | Method |
| Công trình gốc≠ | 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 | Cox, D. R. (1958). The regression analysis of binary sequences. Journal of the Royal Statistical Society, Series B, 20(2), 215–242. DOI ↗ | Kaplan, E. L., & Meier, P. (1958). Nonparametric estimation from incomplete observations. Journal of the American Statistical Association, 53(282), 457–481. DOI ↗ |
| Tên gọi khác≠ | Bayesian DRA, Bayesian dose-response modeling, Bayesian benchmark dose analysis, BDR | logit model, binomial logistic regression, LR | Kaplan-Meier analysis, Cox regression, TTE analysis |
| Liên quan | 3 | 3 | 3 |
| Tóm tắt≠ | 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. | Logistic regression is a statistical method for modeling the probability of a binary outcome (disease present/absent, success/failure) as a function of continuous and categorical predictors. Developed by David Roxbee Cox (1958), it solves the problem of predicting categorical outcomes by applying a logistic transformation to constrain predictions to the [0,1] probability interval, enabling accurate risk stratification, diagnostic prediction, and causal inference in epidemiology, medicine, and social science. | Survival analysis is a collection of statistical methods for modeling time from a defined starting point until an event of interest occurs (disease, recovery, death, equipment failure). Kaplan and Meier's nonparametric estimator (1958) and David Cox's proportional hazards model (1972) jointly enabled analysis of censored data—individuals whose event times are unknown because they left the study or were still event-free at follow-up. Indispensable in oncology, cardiology, infectious disease research, engineering reliability, and any field where time-to-event matters. |
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