Analysis of Multivariate System Using Mahalanobis Taguchi System

Mahalanobis Taguchi System을 이용한 다변량 시스템의 해석에 관한 연구

  • Hong, Jung-Eui (Department of Industrial and Management Engineering, Chungju National University) ;
  • Kwon, Hong-Kyu (Department of Industrial and Management Engineering, Namseoul University)
  • 홍정의 (충주대학교 공과대학 산업경영공학과) ;
  • 권홍규 (남서울대학교 산업경영공학과)
  • Published : 2009.03.31

Abstract

Mahalanobis Taguchi System (MTS) is a pattern information technology, which has been used in different diagnostic applications to make quantitative decisions by constructing a multivariate measurement scale using data analytic methods without any assumption regarding statistical distribution. The MTS performs Taguchi's fractional factorial design based on the Mahahlanobis Distance (MS) as a performance metric. In this work, MTS is used for analyzing Wisconsin Breast Cancer data which has ten attributes. Ten different tests are conducted for the data to determine if the patient has cancer or not. Also, MTS is used for reducing the number of test to define the relationship between each attribute and diagnosis result. The accuracy of diagnosis is compare with two different previous research.

Keywords

References

  1. Taguchi, G. and Jugulum, R.; "New Trends in Multivariate Diagnosis," Indian Journal of Statistics, 62, Series B, 2, 233-248, 2000
  2. Jain, Anil K., Duin, Robert P. W., Mao, Jianchang; "Statistical Pattern Recognition: A Review," IEEE Transaction on Pattern Analysis and Machine Intelligence, 22(1) : Jan. 2000 https://doi.org/10.1109/34.824819
  3. Taguchi, S.; "Mahalanobis Taguchi System," ASI Taguchi Symposium, 2000
  4. Lande, U.; "Mahalanobis Distance: A Theoretical and Practical Approach," http://biologi.uio.no/fellesavdelinger/finse/spatialstats/Mahalanobis20distance.ppt, 2003
  5. Hayashi, S., Tanaka, Y., and Kodama, E.; "A New Manufacturing Control System using Mahalanobis Distance for Maximizing Productivity," IEEE Transactions, 59-62, 2001
  6. Asada, M.; "Wafer Yield Prediction by the Mahalanobis-Taguchi System," IIE Transactions, 25-28, 2001
  7. Wu, Y.; "Pattern Recognition using Mahalanobis Distance," TPD Symposium, 1-14, 1996
  8. Taguchi G., Chowdury, S., and Wu, Y.; The Mahalanobis Taguchi System, McGraw Hill Press New York, 2001
  9. Wolberg, W. H. and Mangasarian O. L.; Multisurface method od pattern seperation for medical diagnosis applied to breast cytology, Porceeding of the national academy of Science, 9193-9196, 1990
  10. Zhang, J.; Selecting typical instance in instance-based learning, Proceeding of ninth international machine learning conference, 470-479, 1992