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Chapter 15

Survival Analysis

Wprowadzenie do analizy przeżycia
Wprowadzenie do analizy przeżycia
Consider the following three examples from biomedical studies. First, in cancer research, the time from when a patient enters remission to their relapse ...
Tablice trwania trwania życia
Tablice trwania trwania życia
A life table or a mortality table represents the survival patterns of a population. It comprises multiple columns, each serving a practical purpose, ...
Krzywe przeżycia
Krzywe przeżycia
Consider a graph of the cumulative probability of death plotted as age on the X axis versus the proportion dead on the Y axis for a specific year. This ...
Podejście aktuarialne
Podejście aktuarialne
Survival analysis assesses the time until an event such as death or treatment failure occurs. The actuarial or life table approach, adapted from actuarial ...
Podejście Kaplana-Meiera
Podejście Kaplana-Meiera
The Kaplan-Meier estimator estimates the survival function from lifetime data. It is primarily used in medical research to track patient survival after ...
Założenia analizy przeżycia
Założenia analizy przeżycia
Survival analysis, a statistical method, evaluates the time until an event occurs. It is commonly used in medicine to analyze life expectancy. It is ...
Porównanie analizy przeżycia dwóch lub więcej grup
Porównanie analizy przeżycia dwóch lub więcej grup
Survival analysis evaluates the time until an event, like disease recurrence or death, utilizing techniques that account for censored data, where the ...
Test rangi logarytmicznej Mantela-Coxa
Test rangi logarytmicznej Mantela-Coxa
The Mantel-Cox log-rank test is a nonparametric statistical method for comparing survival distribution curves between two groups. It is typically employed ...
Zastosowania tablic trwania życia
Zastosowania tablic trwania życia
A life table, or mortality table, is a statistical tool that compiles a population's mortality characteristics, providing survival and death ...
Analiza przeżywalności raka
Analiza przeżywalności raka
Cancer survival analysis measures the time from diagnosis or start of the treatment to an event like recurrence or death. This analysis is crucial for ...
Współczynnik ryzyka
Współczynnik ryzyka
In a clinical study, the subjects or participants are observed over a time interval for an event, such as death, that occurs only once. Now, if a ...
Współczynnik
Współczynnik
The hazard ratio compares the hazard or risk of an event occurring at any given point in time between two groups. Consider λ(t) as a hazard rate at ...
Obcinanie w analizie przeżycia
Obcinanie w analizie przeżycia
In survival analysis, time is measured from the study start, ensuring all participants are observed from time zero until they die or are censored. But, ...
Cenzurowanie danych dotyczących przetrwania
Cenzurowanie danych dotyczących przetrwania
In survival data, censoring leads to incomplete data, and it typically occurs when subjects experience an event before or after the study ends. ...
Drzewko przetrwania
Drzewko przetrwania
A survival tree is used to model and visualize the relationship between a set of covariates and the time until an event of interest occurs. It is ...
Parametryczna analiza przeżycia: metody Weibulla i wykładnicze
Parametryczna analiza przeżycia: metody Weibulla i wykładnicze
Weibull and exponential models are frequently used in survival analysis. A two-parameter Weibull distribution has a survival curve given as follows. Here, ...
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