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Chapter 15

Survival Analysis

Einführung in die Überlebensanalyse
Einführung in die Überlebensanalyse
Consider the following three examples from biomedical studies. First, in cancer research, the time from when a patient enters remission to their relapse ...
Tafeln
Tafeln
A life table or a mortality table represents the survival patterns of a population. It comprises multiple columns, each serving a practical purpose, ...
Überlebens-Kurven
Überlebens-Kurven
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 ...
Versicherungsmathematischer Ansatz
Versicherungsmathematischer Ansatz
Survival analysis assesses the time until an event such as death or treatment failure occurs. The actuarial or life table approach, adapted from actuarial ...
Kaplan-Meier-Ansatz
Kaplan-Meier-Ansatz
The Kaplan-Meier estimator estimates the survival function from lifetime data. It is primarily used in medical research to track patient survival after ...
Annahmen der Überlebensanalyse
Annahmen der Überlebensanalyse
Survival analysis, a statistical method, evaluates the time until an event occurs. It is commonly used in medicine to analyze life expectancy. It is ...
Vergleich der Überlebensanalyse von zwei oder mehr Gruppen
Vergleich der Überlebensanalyse von zwei oder mehr Gruppen
Survival analysis evaluates the time until an event, like disease recurrence or death, utilizing techniques that account for censored data, where the ...
Der Mantel-Cox-Log-Rank-Test
Der Mantel-Cox-Log-Rank-Test
The Mantel-Cox log-rank test is a nonparametric statistical method for comparing survival distribution curves between two groups. It is typically employed ...
Anwendungen von Lebenstabellen
Anwendungen von Lebenstabellen
A life table, or mortality table, is a statistical tool that compiles a population's mortality characteristics, providing survival and death ...
Analyse des Überlebens von Krebs
Analyse des Überlebens von Krebs
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 ...
Gefahrenrate
Gefahrenrate
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 ...
Hazard Ratio
Hazard Ratio
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 ...
Trunkierung in der Überlebensanalyse
Trunkierung in der Überlebensanalyse
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, ...
Zensur von Überlebensdaten
Zensur von Überlebensdaten
In survival data, censoring leads to incomplete data, and it typically occurs when subjects experience an event before or after the study ends. ...
Überlebens-Baum
Überlebens-Baum
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 ...
Parametrische Überlebensanalyse: Weibull und exponentielle Methoden
Parametrische Überlebensanalyse: Weibull und exponentielle Methoden
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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