Journal of The Japanese Society for Quality Control
Online ISSN : 2432-1044
Print ISSN : 0386-8230
Technical Note
Design of the Likelihood Ratio Chart Based on the x2 -approximation with Fractional Degrees of Freedom
Futoshi TAMAKIAkihiro KANAGAWAHiroshi OHTA
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1993 Volume 23 Issue 1 Pages 84-90

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Abstract
This paper presents a new control chart, likelihood ratio chart, which enables the user to control both changes of the mean and the variance simultaneously for normally distributed characteristics. Design of the proposed chart is done by the probability limit method, that is derived from specifying the probability of the first kind of error, using the χ^2-approximation with fractional degrees of freedom. The power of this likelihood ratio chart is compared with that of the x^^--s charts.
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© 1993 The Japanese Society for Quality Control
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