Vergleich zweier Operationscharakteristiken |
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Authors: | Dr H Vogt |
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Institution: | (1) Neue Universität Würzburg, Sanderring, Würzburg |
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Abstract: | Summary We compare the OC-curvesL
n.c
(p) (1) andL
n.c
*
(p) (2). The first is founded on the binomial distribution, the latter relates to the Poisson distribution and is often used as approximation. These OC-curves occur in Statistical Quality Control as probabilities for the acception of a lot as approximations for such probabilities; they are regarded as functions of the fraction defectivep. It is shown that the two OC-curves have exactly one intersection point between 0 and 1, if the acceptance numberc is 1 and the sample sizen is >c+1.Forp between 0 and the intersection pointp
s
we have thenL
n.c.(p)>L
n.c
*
(p); from p
s
<p 1 followsL
n.c(p)n.c
*
(p).An interval is given which coversp
s
and with an example it is shown how one might use the results of this paper for the construction of sampling plans. |
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Keywords: | |
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