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Sampling plan for
a Gaussian variable (Mil-Std-414)
Calculates a sampling plan, (n, k), for use in
acceptance sampling of a Gaussian variable, as in Mil-Std-414,
variability unknown. |
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AQL, LTPD |
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AQL, LTPD. • |
1−α, β |
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Probabilities of acceptance. • |
krit, tol, maxcal |
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Criterion (power of discrepancy), tolerance, max. calls (for simplex).
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n, k |
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Initial values for n and k. • |
z1, z2 |
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Scale factors for n and k. |
Calculates the sampling plan, ie., n and k, sample
size and acceptability constant, for which it will be
Q ≥ k, with
Q = (xbar − L) ⁄ s
No simple formulas are given, as the (implicit) rigorous
method is used, the two following, classical simultaneous equations (for
AQL and LTPD) being solved:
F(t0; f, δ1) =
1 − α
F(t0; f, δ2) =
β
Here, it is t0 = k √n and
δ = −Φ−1(ω)
√n, with ω = AQL, LTPD. |
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Reference:
• See
Resnikoff & Lieberman. |