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Convergence to non-central t curve
Draws a Monte Carlo simulated curve converging to a non-central t distribution curve.
(Graph not produced due to obsolescence)
2024.Jul.03 18:16:41
n Sample size.
AQL % Acceptable quality limit.
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 ? Shows the coordinates of the graph. •

Draws a Monte Carlo simulated curve (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.

nα AQL (%): 1 1.5
510 k: 1.531.40
710 1.621.50
1010 1.721.58
208 1.821.69
257 1.851.72
References: Plate: tncConverg

• Resnikoff & Lieberman, 1957 (see elsewhere)

1915-03-17: Doeblin, Wolfgang (1940-06-21)

 
 
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Created: 2006-03-17 (2004.04.05) — Last modified: 2019-04-15