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The value of the test statistic is therefore calculated as follows: This gives a P value of 0.032, which indicates a significant difference between the population survival curves. An assumption for the log rank test is that of proportional hazards.
Survival analysis is a branch of statistics for analyzing the expected duration of time until one or more events happen, such as death in biological organisms and failure in mechanical systems. Even in biological problems, some events (for example, heart attack or other organ failure) may have the same ambiguity.
Survival Analysis is used to estimate the lifespan of a particular population under study. It is also called 'Time to Event' Analysis as the goal is to estimate the time for an individual or a group of individuals to experience an event of interest. This time estimate is the duration between birth and death events[1].
To describe the survival times of members of a group. Life tables. Kaplan-Meier curves. To compare the survival times of two or more groups. Log-rank test. To describe the effect of categorical or quantitative variables on survival. Cox proportional hazards regression.
The hazard function (also called the force of mortality, instantaneous failure rate, instantaneous death rate, or age-specific failure rate) is a way to model data distribution in survival analysis. The most common use of the function is to model a participant's chance of death as a function of their age.
We use the term survival plot to represent a group of plots that are constructed on time to event data. The most common survival plot is the Kaplan-Meier Curve. Others survival plots are the hazard function and hazard rate plots.
As in the conventional linear regression models, survival regression models allow for the quantification of the effect on survival of a set of predictors, the interaction of two predictors, or the effect of a new predictor above and beyond other covariance.
The Kaplan-Meier estimate is the simplest way of computing the survival over time in spite of all these difficulties associated with subjects or situations. For each time interval, survival probability is calculated as the number of subjects surviving divided by the number of patients at risk.

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