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Chapter 15

Survival Analysis

Introducción al análisis de supervivencia
Introducción al análisis de supervivencia
Consider the following three examples from biomedical studies. First, in cancer research, the time from when a patient enters remission to their relapse ...
Tablas de vida
Tablas de vida
A life table or a mortality table represents the survival patterns of a population. It comprises multiple columns, each serving a practical purpose, ...
Curvas de supervivencia
Curvas de supervivencia
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 ...
Enfoque actuarial
Enfoque actuarial
Survival analysis assesses the time until an event such as death or treatment failure occurs. The actuarial or life table approach, adapted from actuarial ...
Enfoque de Kaplan-Meier
Enfoque de Kaplan-Meier
The Kaplan-Meier estimator estimates the survival function from lifetime data. It is primarily used in medical research to track patient survival after ...
Supuestos del análisis de supervivencia
Supuestos del análisis de supervivencia
Survival analysis, a statistical method, evaluates the time until an event occurs. It is commonly used in medicine to analyze life expectancy. It is ...
Comparación del análisis de supervivencia de dos o más grupos
Comparación del análisis de supervivencia de dos o más grupos
Survival analysis evaluates the time until an event, like disease recurrence or death, utilizing techniques that account for censored data, where the ...
La prueba de rango logarítmico de Mantel-Cox
La prueba de rango logarítmico de Mantel-Cox
The Mantel-Cox log-rank test is a nonparametric statistical method for comparing survival distribution curves between two groups. It is typically employed ...
Aplicaciones de las Tablas de Vida
Aplicaciones de las Tablas de Vida
A life table, or mortality table, is a statistical tool that compiles a population's mortality characteristics, providing survival and death ...
Análisis de supervivencia al cáncer
Análisis de supervivencia al cáncer
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 ...
Índice de peligrosidad
Índice de peligrosidad
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 ...
Relación de riesgo
Relación de riesgo
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 ...
Truncamiento en el análisis de supervivencia
Truncamiento en el análisis de supervivencia
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, ...
Censura de datos de supervivencia
Censura de datos de supervivencia
In survival data, censoring leads to incomplete data, and it typically occurs when subjects experience an event before or after the study ends. ...
Árbol de supervivencia
Árbol de supervivencia
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 ...
Análisis Paramétrico de Supervivencia: Weibull y Métodos Exponenciales
Análisis Paramétrico de Supervivencia: Weibull y Métodos Exponenciales
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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