MCPCalc

Survival Analysis Calculator

Evaluate survival and hazard functions for exponential, Weibull, and Gompertz parametric models.

Scratchpad (not saved)

What This Calculator Does

Evaluate survival and hazard functions for exponential, Weibull, and Gompertz parametric models.

It combines Model, Time t, Exponential Rate λ, Weibull Shape k to estimate Survival Probability S(t), Hazard Rate h(t), Median Survival Time.

Formula & Method

Core equations: Exponential S(t)=e^{-\lambda t} and h(t)=\lambda. Weibull S(t)=e^{-(t/\lambda)^k} and h(t)=\frac{k}{\lambda}(t/\lambda)^{k-1}. Gompertz h(t)=b e^{ct} and S(t)=\exp\left(-\frac{b}{c}(e^{ct}-1)\right) for c\neq 0.

Notation used in the formulas: R = Survival Probability S(t); x_{1} = Model; x_{2} = Time t; x_{3} = Exponential Rate λ; x_{4} = Weibull Shape k; x_{5} = Weibull Scale λ; x_{6} = Gompertz b.

Method summary: inputs are normalized to consistent units, core equations are evaluated, then secondary values are derived and rounded for display.

Use this calculator for quick scenario analysis. Start with baseline values, change one driver at a time, and compare how sensitive the results are to each input shown above.

Inputs Used

  • Model: Used directly in the calculation.
  • Time t: Used directly in the calculation.
  • Exponential Rate λ: Used directly in the calculation.
  • Weibull Shape k: Used directly in the calculation.
  • Weibull Scale λ: Used directly in the calculation.
  • Gompertz b: Used directly in the calculation.
  • Gompertz c: Used directly in the calculation.

Related Calculators