Journal of The Japanese Society for Quality Control
Online ISSN : 2432-1044
Print ISSN : 0386-8230
Volume 23, Issue 2
Displaying 1-21 of 21 articles from this issue
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Research Papers
Contributed Paper
  • Masahiro NOZAWA, Tadakazu OKUNO
    Article type: Contributed Paper
    1993 Volume 23 Issue 2 Pages 75-82
    Published: April 15, 1993
    Released on J-STAGE: February 13, 2019
    JOURNAL RESTRICTED ACCESS
    The ordinary regression analysis can be applied to the case where some of explanatory variables are qualitative or categorical data with replacing each of qualitative variables by a set of dummy quantitative variables. However, it has not been clear to define and calculate the tolerance of a qualitative variable as a bundle of several dummy variables. The purpose of this paper is to propose the three kinds of definitions of tolerance of a qualitative variable in relation to canonical correlations and to show and compare their adequacy by illustrating several simple cases. Besides, it is emphasized that the examination of tolerance of each variable and leverage of each observation is especially important for the regression analysis including qualitative variables and so called quantification theory type I.
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Technical Note
  • Shu YAMADA, Noriaki KANO
    Article type: Technical Note
    1993 Volume 23 Issue 2 Pages 83-89
    Published: April 15, 1993
    Released on J-STAGE: February 13, 2019
    JOURNAL RESTRICTED ACCESS
    In cases where plural quality characteristics and their respective requirements exist and when the operating conditions that satisfy all the requirements are explored - with a set of given data in an experimental region from which the data have been collected -, there may be no operating condition explored. In such an instance, we have a problem of where to move the experimental region in order to explore the operating conditions which satisfy the requirements. While for a single quality characteristic this problem has been well investigated in the field of sequential experiments methodology, for plural quality characteristics it is necessary to solve this problem by finding an appropriate response variable as a function of operating conditions. This paper shows that the probability that quality characteristics simultaneously satisfy the requirements is derived as a function of operating conditions, and that the steepest ascent method, which is known as a sequential experiments method for a single response variable, can be also applied to the case for plural quality characteristics by treating the probability as a response variable. Specifically, it shows how to derive favorable estimates for that probability and its steepest ascent direction and discusses the properties of those estimators. In addition, a practical application of this method is discussed.
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