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Chapter 15

Survival Analysis

生存分析入門
生存分析入門
Consider the following three examples from biomedical studies. First, in cancer research, the time from when a patient enters remission to their relapse ...
ライフテーブル
ライフテーブル
A life table or a mortality table represents the survival patterns of a population. It comprises multiple columns, each serving a practical purpose, ...
サバイバルカーブ
サバイバルカーブ
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 ...
保険数理アプローチ
保険数理アプローチ
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アプローチ
Kaplan-Meierアプローチ
The Kaplan-Meier estimator estimates the survival function from lifetime data. It is primarily used in medical research to track patient survival after ...
生存時間分析の仮定
生存時間分析の仮定
Survival analysis, a statistical method, evaluates the time until an event occurs. It is commonly used in medicine to analyze life expectancy. It is ...
2つ以上のグループの生存分析の比較
2つ以上のグループの生存分析の比較
Survival analysis evaluates the time until an event, like disease recurrence or death, utilizing techniques that account for censored data, where the ...
マンテル・コックスのログランク検定
マンテル・コックスのログランク検定
The Mantel-Cox log-rank test is a nonparametric statistical method for comparing survival distribution curves between two groups. It is typically employed ...
生命テーブルの応用
生命テーブルの応用
A life table, or mortality table, is a statistical tool that compiles a population's mortality characteristics, providing survival and death ...
がん生存分析
がん生存分析
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 ...
ハザード率
ハザード率
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 ...
ハザード率
ハザード率
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 ...
生存時間分析における切り捨て
生存時間分析における切り捨て
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, ...
生存データの打ち切り
生存データの打ち切り
In survival data, censoring leads to incomplete data, and it typically occurs when subjects experience an event before or after the study ends. ...
サバイバルツリー
サバイバルツリー
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 ...
パラメトリック生存時間分析:ワイブル法と指数関数法
パラメトリック生存時間分析:ワイブル法と指数関数法
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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