Sampling Inspection Plan by Variables （σ Unknown） Based on the Non-Central t Distribution and Consideration on Its A p proximation Formulae

DOI

Bibliographic Information

Other Title
  • 非心t分布を用いた計量抜取検査（σ未知）とその近似式の考察

Abstract

In the case of σ unknown, sampling inspection plan by variables is based on a statistic having the non-central t distribution, which can be approximated by the normal distribution when sample size is sufficiently large. Existing sampling plans by variables use this normal approximation over all or most part of the tables. The followings are show in the present paper. <BR>(1) We examine the accuracy of designed values by the normal approximation. Furthur in the part of small sample sizes, the sampling table having desired operating characteristics is given, which is based on the non-central t distribution.<BR>(2) The approximate method utilizing the new formula E(s)=√<(3n-4)/(3n-3)ρ in the normal approximation of x + ks is proposed which converges more rapidly than existing methods and the procedure to obtain the sampling plan by the new method is shown.

Journal

Details 詳細情報について

  • CRID
    1390001288125772288
  • NII Article ID
    110003158752
  • DOI
    10.20684/quality.10.4_36
  • ISSN
    24321044
    03868230
  • Text Lang
    ja
  • Data Source
    • JaLC
    • CiNii Articles
  • Abstract License Flag
    Disallowed

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