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Survival Rate (Kaplan Meier) Calculator

Work out survival rate (kaplan meier) instantly with clear inputs, formula shown and shareable results.

About Survival Rate (Kaplan Meier) Calculator

The Kaplan-Meier estimator multiplies the conditional survival probabilities across intervals: S(t) = Π(1 − dᵏ/nᵏ). Censored subjects simply reduce the number at risk in later intervals rather than counting as events.

Formula

Kaplan-Meier estimator

S(t) = Π over intervals of (1 − dᵏ / nᵏ)

Worked example

With the default values below, Survival Rate (Kaplan Meier) Calculator returns Cumulative survival probability of 0.58260442. Change any input above and every figure here is recalculated in your browser.

Inputs used

Number at risk at each interval
100, 88, 74, 60
Events (deaths) in each interval
10, 12, 10, 8

Results

Cumulative survival probability
0.58260442
As a percentage
58.2604 %
Survival after each interval
0.9 -> 0.7773 -> 0.6722 -> 0.5826
Total events
40

Step by step

  1. 1Values used
  2. 2Kaplan-Meier estimator
  3. 3Cumulative survival probability= 0.58260442
  4. 4As a percentage= 58.2604 %
  5. 5Survival after each interval= 0.9 -> 0.7773 -> 0.6722 -> 0.5826
  6. 6Total events= 40

Assumptions and limits

  • The result is derived only from the 2 inputs listed above. Anything not among them is not part of the calculation.
  • In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
  • Figures are rounded for display to 8 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

For the four sample intervals?

The conditional survivals 0.90, 0.8636, 0.8649 and 0.8667 multiply to about 0.5827, so 58.3% survive.

Why not just divide survivors by the original total?

Because censored subjects have unknown outcomes; Kaplan-Meier uses their contribution up to the point they were last seen.

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