Statistical Details for the Reliability Test Plan Calculator

The reliability test plan is designed to estimate either a quantile:

or a failure probability:

at a specified level of significance with an assumed failure time distribution and precision measure. Φ() is the standard cumulative distribution function of the assumed failure time distribution with location parameter μ and scale parameter σ. Wald confidence intervals and the precision measure define precision as a function of t (time) and n (sample size). Numerical methods are used to solve for the desired quantity.

For more information about calculations in JMP, see Barker (2011, Section 6).