So sánh phương pháp

	Ước lượng Kaplan-Meier	Cox proportional hazards	Kiểm định Log-Rank để so sánh các đường cong sống sót
Lĩnh vực	Thống kê	Dịch tễ học	Phân tích sống còn
Họ	Survival analysis	Process / pipeline	Survival analysis
Năm ra đời	1958	1972	1966
Người khởi xướng	Edward L. Kaplan and Paul Meier	Sir David Roxbee Cox	Mantel, N.
Loại	Nonparametric estimator	Semi-parametric regression model	Non-parametric hypothesis test
Công trình gốc	Kaplan, E. L., & Meier, P. (1958). Nonparametric estimation from incomplete observations. Journal of the American Statistical Association, 53(282), 457–481.	Cox, D. R. (1972). Regression models and life-tables. Journal of the Royal Statistical Society: Series B (Methodological), 34(2), 187–202.	Mantel, N. (1966). Evaluation of Survival Data and Two New Rank Order Statistics Arising in Its Consideration. Cancer Chemotherapy Reports, 50(3), 163–170.
Tên gọi khác	KM estimator, product-limit estimator, Kaplan-Meier curve, survival curve estimator	Cox regression, Cox PH model, proportional hazards model, CPH	Mantel log-rank test, Mantel-Cox test, log-rank sağkalım testi, Log-Rank Testi
Liên quan	2	5	2
Tóm tắt	The Kaplan-Meier estimator is a nonparametric method for estimating the survival function S(t) — the probability that an individual survives beyond time t — from data that include censored observations. Introduced by Edward L. Kaplan and Paul Meier in their landmark 1958 JASA paper, it is the standard first step in any survival analysis and is among the most-cited statistical methods in biomedical research.	The Cox proportional hazards model is a semi-parametric regression method that estimates the effect of one or more covariates on the hazard — the instantaneous rate of an event such as death, relapse, or failure — while making no assumption about the shape of the baseline hazard function. Introduced by David Cox in 1972, it is the dominant tool for multivariable survival analysis in clinical and epidemiological research.	The log-rank test, developed by Nathan Mantel in 1966, is a non-parametric hypothesis test that compares the overall survival experience of two or more groups throughout the entire follow-up period. It is the standard companion to Kaplan-Meier curves and determines whether observed differences between curves are statistically meaningful.