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| Phân tích mốc thời gian cho sống còn có điều kiện và dự đoán động× | Mô hình kết hợp cho dữ liệu dọc và dữ liệu thời gian đến sự kiện× | Ước lượng sống còn Kaplan-Meier× | Ước lượng rủi ro tích lũy Nelson-Aalen× | |
|---|---|---|---|---|
| Lĩnh vực | Phân tích sống còn | Phân tích sống còn | Phân tích sống còn | Phân tích sống còn |
| Họ | Survival analysis | Survival analysis | Survival analysis | Survival analysis |
| Năm ra đời≠ | 1983 | 2004 | 1958 | 1972 |
| Người khởi xướng≠ | Anderson, J. R., Cain, K. C. & Gelber, R. D. | Tsiatis, A.A. & Davidian, M.; Rizopoulos, D. | Kaplan, E. L. & Meier, P. | Wayne Nelson & Odd Aalen |
| Loại≠ | Conditional survival estimator | Semiparametric regression model | Non-parametric survival estimator | Non-parametric cumulative hazard estimator |
| Công trình gốc≠ | Anderson, J. R., Cain, K. C. & Gelber, R. D. (1983). Analysis of Survival by Tumor Response. Journal of Clinical Oncology, 1(11), 710–719. DOI ↗ | Rizopoulos, D. (2012). Joint Models for Longitudinal and Time-to-Event Data. CRC Press. DOI ↗ | Kaplan, E. L. & Meier, P. (1958). Nonparametric Estimation from Incomplete Observations. Journal of the American Statistical Association, 53(282), 457–481. DOI ↗ | Nelson, W. (1972). Theory and applications of hazard plotting for censored failure data. Technometrics, 14(4), 945–966. DOI ↗ |
| Tên gọi khác≠ | landmark method, dynamic prediction, conditional survival estimation, Landmark Analizi (Dinamik Tahmin) | joint model, shared random effects model, longitudinal-survival joint model, Joint Model (Boylamsal + Sağkalım Birleşik Model) | product-limit estimator, km curve, kaplan-meier sağkalım analizi | Nelson-Aalen cumulative hazard, Aalen estimator, empirical cumulative hazard, Nelson-Aalen kümülatif hazard tahmincisi |
| Liên quan≠ | 3 | 5 | 2 | 5 |
| Tóm tắt≠ | Landmark analysis, introduced by Anderson, Cain, and Gelber in 1983, estimates conditional survival probabilities for subjects who are still at risk at a pre-specified point in time — the landmark — rather than at study entry. It was developed explicitly to avoid immortal time bias that arises when subjects are grouped by an event (such as a treatment change or biomarker result) that can only occur if they remain event-free long enough to experience it. | The joint model for longitudinal and time-to-event data, formalised by Tsiatis and Davidian in 2004 and extended comprehensively by Rizopoulos in 2012, simultaneously estimates a mixed-effects model for repeatedly measured biomarkers and a survival model for the time to an event, linking the two processes through shared random effects. It resolves two major problems that simpler approaches cannot handle: informative dropout from longitudinal studies and the endogeneity of time-varying biomarkers used as covariates in a Cox model. | The Kaplan-Meier estimator, introduced by Kaplan and Meier in 1958, is a non-parametric method that estimates the survival curve — the probability of remaining event-free over time — from right-censored time-to-event data. The log-rank test is the companion procedure used to compare survival curves between groups. | The Nelson-Aalen estimator is a non-parametric estimator of the cumulative hazard function from right-censored time-to-event data. Developed by Wayne Nelson for reliability hazard plotting in 1972 and placed on a rigorous counting-process foundation by Odd Aalen in 1978, it accumulates the ratio of observed events to the number at risk at each event time, providing the natural hazard-scale companion to the Kaplan-Meier survival curve. |
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