Journal of The Japanese Society for Quality Control
Online ISSN : 2432-1044
Print ISSN : 0386-8230
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Volume 8, Issue 3
Displaying 1-7 of 7 articles from this issue
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  • A Monte Carlo Evaluation of the Accumulating Method in Two-Sample Tests for Ordered Response Categries
    Hiromichi KODAMA, Hiroyuki UESAKA, Masashi GOTO
    Article type: Contributed Paper
    1978 Volume 8 Issue 3 Pages 31-39
    Published: July 15, 1978
    Released on J-STAGE: March 12, 2019
    DOIhttps://doi.org/10.20684/quality.8.3_31
    JOURNAL RESTRICTED ACCESS
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    In two-sample problems for ordered response categories, we discuss the performances of F-test and "accumulated chi-square test" in the accumulating nethod based on the Monte Carlo evaluation. First, we investigate the degrees of approximation of distribution for above test statistics to their null asymptotic distributions. Next, we evaluate their powers by comparing them with those of Wilcoxon's rank-sum tests and of Pearson's chi-squase test. The type I error probabilities exceed nominal levels if we make use of so called "conventional degrees of freedom" in the F-test, while use of "actual degrees of freedom" has tendency to give slightly lower levels than nominal ones. The power of the accumulated chi-square test is essentially the same as that of the F-test with the actual degrees of freedom. Wilcoxon's rank-sum test and Pearson's chi-square test are favorable to location-shift and scale-shift alternatives respectively, though the accumulating method has high powers against broad alternatives, including location-shift alternatives.
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  • Bayesian Confidence Intervals for Independent Series or Prallele System from Binomial Component Data
    Tetsuo MIYAMURA
    Article type: Contributed Paper
    1978 Volume 8 Issue 3 Pages 40-46
    Published: July 15, 1978
    Released on J-STAGE: March 12, 2019
    DOIhttps://doi.org/10.20684/quality.8.3_40
    JOURNAL RESTRICTED ACCESS
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    An examination is made of some methods of determining Bayesian confidence limits for the reliability of series or parallel systems using binomial component test data. It is assumed that a prior distribution for the reliability of the component is a beta distribution. Then, some procedures of determining the posterior distribution of the system are considered. The results say that the posterior distribution of the system is determined based on the Mellin transformation explicitly for the cases in which some conditions are satisfied and an approximation method for deriving Bayesian confidence limits only for the series system reliability is presented when each component of the system is highly reliable.
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