Survival Analysis

Survival analysis is concerned with the time it takes until a certain event occurs, especially when censored data is present. The event could be the death (or relapse) of a patient with cancer or the date when a student graduates from high school. Thus, the key event can be viewed as success (getting a law degree) or failure (death), although generally the terminology used is most suited to the second type of situation.

Failure (i.e. the key event) can correspond to a component breaking in an engineering context (reliability analysis), an organism dying in a biological context (survival analysis) or the end of an economic downturn in an economic context (duration analysis).

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For those with a calculus background, you can also see the proofs of some of the properties described on the above webpages at

2 Responses to Survival Analysis

  1. Peru says:

    Hello

    Do you have references (papers or book) for the formula to get Hazard rate. I saw this used a couple of places without reference (I need a reference to give for my research):

    Hazard Rate = (ln(1-Events/N)) / t

    Also, if total events in experimental are Eexp and lost to follow-up is Nexplft then is there a way to estimate Hazard RATE in exp arm?

    If not, then if evenets in control arm is Ectl and lost to follow up is Nctllft then is there a way to get Hazard RATIO?

    • Charles says:

      Peru,

      There are many references for the formula for the hazard rate. E.g.
      Antimicrob Agents Chemother. 2004 Aug; 48(8): 2787–2792.
      doi: 1 0.1 1 28/AAC.48.8.2787­2792.2004
      Hazard Ratio in Clinical Trials
      Spotswood L. Spruance, Julia E. Reid, Michael Grace, and Matthew Samore

      Sorry, but I don’t understand your other questions. What are Eexp, Nexplft, Ectl, etc.

      Charles

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