Journal of The Japanese Society for Quality Control
Online ISSN : 2432-1044
Print ISSN : 0386-8230
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Volume 14, Issue 3
Displaying 1-14 of 14 articles from this issue
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Contributed Paper
  • Single Variables Sampling Plant of the "Point-of-Control" Type Based on Non-Normal Distributions (I) : Weibull Case
    Kinji TAKAGI, Mitsuhiro SUGIYAMA
    Article type: Contributed Paper
    1984 Volume 14 Issue 3 Pages 49-58
    Published: July 15, 1984
    Released on J-STAGE: March 07, 2019
    DOIhttps://doi.org/10.20684/quality.14.3_49
    JOURNAL RESTRICTED ACCESS
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    This is the first report of a series of studies which deal which deal with the design problems of single variables sampling plans of the "point-of-control" type based on non-normal distributions. (A sampling plan of the "point-of-control" type named here means the plan characterized by two fundamental parameters, viz., the point of control p0.50 and the relative shope h0.50, as first introduced by Hamaker [4] in the theory of attributes sampling.) In this report we assume that the underlying distribution is of a Weibull type. In Section 3 the design problems for general case in question are solved by virtue of the Takagi's general theory [17] and those for Weibull case are solved in Section 4. Also, a series of conversion formulas between the fundamental parameters (p0.50, h0.50) for variables plans of the "point-of-control" type and the basic elements (p0,p1,α, β) for those of the "two-point specified" type is the plan characterized by two specified points, (p0,1-α) and (p1,β), on the OC curve, as seen in the Standards, e. g., JIS Z 9003 and 9004 based on normal distribution [11].) In Section 6 some examples which illustrate the use of conversion tables and sampling tables of Weibull plans are given. Finally, a single variables plan of the "point-of-control" type based on normal distribution viewed as a special case of the general solution given in Section 3 is discussed in Section 7.
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  • Estimation of Inter- and Intra-subgroup Variations Based on the p-Rp Chart
    Hisakazu SHINDO
    Article type: Contributed Paper
    1984 Volume 14 Issue 3 Pages 59-64
    Published: July 15, 1984
    Released on J-STAGE: March 07, 2019
    DOIhttps://doi.org/10.20684/quality.14.3_59
    JOURNAL RESTRICTED ACCESS
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    The usefulness of the control chart exists in utilizing it as a tool for a process analysis as well as for a process control. The process analysis based on the control chart can be characterized by the estimation of inter- and intra-subgroup variations.While the x--R chart has established the estimation, the conventional p or pn chart has not yet.The p-Rp chart proposed by Y. Akao clarifies the inter- and intra-subgroup variations of attribute and enables us to control them. Recently, the author reported its theoretical operating characterstics.In this paper, it is reported that if we resort to the p-Rp chart, we can estimate the two variations of attribute in a similar manner as is employed in the x-R chart.This implies that the p-Rp chart is also useful as a tool for a process analysis.
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