A Test of the Equality of SN Ratios Based on the Inverse Gaussian Distribution A Test of the Equality of SN Ratios Based on the Inverse Gaussian Distribution

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Abstract

本論文では,計測システムにおけるSN比の同等性の検定を提案する.一般に,タグチメソッドでは,そのシステムを比尺度かつ正値データをもとに,ゼロ点比例式を想定する.このとき,誤差分布として,尺度分布族の1つである逆ガウス型分布を仮定すれば,SN比の同等性の検定は,分布の変動係数のそれに一致する.ここでは,分散安定化変換を用いた等変動係数性の検定手法を提案し,検定のサイズと検出力を検証した.その結果,検定は,保守的であり十分な大きさの検出力を持つことが示された.

We consider a test of the equality of the signal-to-noise (SN) ratios for measurement systems. We introduce a multiplicative error model and an error term following an inverse Gaussian distribution. Testing the equality of SN ratios is equivalent to testing the equality of coefficients of variation of the inverse Gaussian distribution. We derive new testing procedures via a variance stabilizing transformation and investigate their size and power. We show that these procedures are conservative and have enough power.

Journal

  • Journal of The Japanese Society for Quality Control

    Journal of The Japanese Society for Quality Control 45(1), 76-82, 2015

    The Japanese Society for Quality Control

Codes

  • NII Article ID (NAID)
    110009901253
  • NII NACSIS-CAT ID (NCID)
    AN00354769
  • Text Lang
    ENG
  • ISSN
    0386-8230
  • NDL Article ID
    026035246
  • NDL Call No.
    Z4-463
  • Data Source
    NDL  NII-ELS  J-STAGE 
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