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Convergence to non-central t
curve Draws a Monte Carlo simulated curve converging
to a non-central t distribution curve. |
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n |
|
Sample size. |
AQL |
% |
Acceptable quality level (%). |
α |
% |
α, a rejection (Type I) risk. (See below.) • |
ntr, jrepeat, klass |
|
No. of trials (samples), repeatability,
no. of histogram classes |
tmin, tmax |
* |
Minimum and maximum abscissae for the graph. • |
Show values |
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Shows the coordinates of the graph. |
Draws a Monte Carlo simulated curve, which is a histogram,
converging to the theoretical density curve, a non-central t
distribution, as the number of trials (samples) tends to infinity.
In acceptance sampling, the “quality index” is
Q = t ⁄ √n, whence
k, the “acceptability constant”:
k = Qcrit. The t distribution applying
has parameters f = n − 1 and
δ = √n
Φinv(1−AQL).
Suggested risks, α, are given,
with the corresponding k (standard ANSI/ASQC Z1.9-1980).
* The default parameters
are suitable for the AQL’s presented. |
n | α |
AQL (%): 1 |
1.5 |
5 | 10 |
k: 1.53 | 1.40 |
7 | 10 |
1.62 | 1.50 |
10 | 10 |
1.72 | 1.58 |
20 | 8 |
1.82 | 1.69 |
25 | 7 |
1.85 | 1.72 |
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References:
• Resnikoff & Lieberman, 1957 (see elsewhere) |