Methods and formulas for substantiation testing in Demonstration Test Plan

Testing time

The testing time for each system when the minimum number, N, of components to be tested to substantiate that the redesigned system has significantly improved, at a confidence level of 100(1 – α)%, is calculated as follows:

Notation

TermDescription
ttime
mnumber of failures
αthe significance level (alpha), which equals 1 – confidence level
Nminimum number of components to be tested
R0solution confined in the interval (0,1)
R–1(t)inverse reliability function

Sample size

The minimum number of systems to be tested to substantiate that the redesigned system has significantly improved, at a confidence level of 100(1 – α)%, is calculated as follows:

Notation

TermDescription
ttime
mnumber of failures
αthe significance level (alpha), which equals 1 – confidence level
Nminimum number of systems to be tested
R(t)reliability function
R–1(t) inverse reliability function
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