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

• KAWAMURA Toshihiko

  The Institute of Statistical Mathematics

• MOTOYAMA Hitoshi

  Institute of Social Sciences, School of Humanities and Social Sciences, Academic Assembly, Shinshu University

Abstract

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

Keywords

• Coefficient of Variation Inverse Gaussian Distribution
• Measurement System
• SN Ratio
• Variance Stabilizing Transformation

Details

• CRID: 1390282679477440384
• NII Article ID: 110009901253
• NII Book ID: AN00354769
• DOI: 10.20684/quality.45.1_76
• ISSN: 24321044
• ISSN: 03868230
• NDL BIB ID: 026035246
• Web Site: http://id.ndl.go.jp/bib/026035246
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I026035246
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • CiNii Articles
• Abstract License Flag: Disallowed