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| Ujian Log-Rank untuk Perbandingan Lengkung Kelangsungan Hidup× | Penganggar Kumulatif Bahaya Nelson-Aalen× | |
|---|---|---|
| Bidang | Analisis Survival | Analisis Survival |
| Keluarga | Survival analysis | Survival analysis |
| Tahun asal≠ | 1966 | 1972 |
| Pengasas≠ | Mantel, N. | Wayne Nelson & Odd Aalen |
| Jenis≠ | Non-parametric hypothesis test | Non-parametric cumulative hazard estimator |
| Sumber perintis≠ | Mantel, N. (1966). Evaluation of Survival Data and Two New Rank Order Statistics Arising in Its Consideration. Cancer Chemotherapy Reports, 50(3), 163–170. link ↗ | Nelson, W. (1972). Theory and applications of hazard plotting for censored failure data. Technometrics, 14(4), 945–966. DOI ↗ |
| Alias | Mantel log-rank test, Mantel-Cox test, log-rank sağkalım testi, Log-Rank Testi | Nelson-Aalen cumulative hazard, Aalen estimator, empirical cumulative hazard, Nelson-Aalen kümülatif hazard tahmincisi |
| Berkaitan≠ | 2 | 5 |
| Ringkasan≠ | 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. | 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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