Journal of The Japanese Society for Quality Control
Online ISSN : 2432-1044
Print ISSN : 0386-8230
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Volume 12, Issue 4
Displaying 1-11 of 11 articles from this issue
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Article
Lecture
Contributed Paper
  • Comparison of Practical Procedures of Population Mean Estimation with Small Samples（II）
    Yoshikazu OJIMA
    Article type: Contributed Paper
    1982 Volume 12 Issue 4 Pages 259-264
    Published: October 15, 1982
    Released on J-STAGE: March 07, 2019
    DOIhttps://doi.org/10.20684/quality.12.4_259
    JOURNAL RESTRICTED ACCESS
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    In the first paper of this series, five data processing procedures were compared by a simulation and three recommendable procedures were selected. These procedures were sitpulated in official standards such as ISO or JIS.It was found by an additional smulation that these selected procedures produced biased final values, in the case when the data contained an extremely highly discordant data. These biases were not serious but should not be ignored.In this paper, the causes of producing biased final values were discussed and three modified procedures were proposed. Simulation was carried out on the three procedures selected in the first paper and on the three modified procedures.To summarize the results, the procedure V-1 (modification of procedure in ISO 3271) is the best in these procedures. However in the case that there is a limitation about number of data, the procedure VI (modification of procedure in JIS Z 8402 in clause 3. 3. 2 (1. 2. 2))is the most recommendable.
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  • Optimal Sample Size for Doubly Exponential Data
    Shigeo KASE
    Article type: Contributed Paper
    1982 Volume 12 Issue 4 Pages 265-269
    Published: October 15, 1982
    Released on J-STAGE: March 07, 2019
    DOIhttps://doi.org/10.20684/quality.12.4_265
    JOURNAL RESTRICTED ACCESS
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    Optimal sample size for analyzing doubly exponential data is discussed from the standpoint of variance and efficiency of the estimator for mode. The proposed concept is available for the characteristics which follow the first asymptotic distribution of the largest values as well as the smallest values. A numerical analysis of variances and efficiencies of the above estimator draws the conclusion that the optimal sample sizes are n=5,10 and 20. n=10 is recommended as the standard sample size, n=5 for the reduced test or routine purpose, and n=20 for the tightened test of analytical purpose. The very procedure which constructs the body of the present paper verifies also that the estimator for mode proposed by this author is valid when not only 2≦n≦20 but 21≦n.
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