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Design of Experiments Guide > Prospective Sample Size and Power > Reliability Test Plan Calculator > Statistical Details for the Reliability Test Plan Calculator
Publication date: 09/28/2021

Statistical Details for the Reliability Test Plan Calculator

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

Equation shown here

or a failure probability:

Equation shown here

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).

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