이원 이항 계수치 자료의 로지스틱 회귀 분석

A Logistic Regression Analysis of Two-Way Binary Attribute Data

  • 안해일 (서경대학교 산업공학과)
  • 투고 : 2012.07.05
  • 심사 : 2012.09.03
  • 발행 : 2012.09.30

초록

An attempt is given to the problem of analyzing the two-way binary attribute data using the logistic regression model in order to find a sound statistical methodology. It is demonstrated that the analysis of variance (ANOVA) may not be good enough, especially for the case that the proportion is very low or high. The logistic transformation of proportion data could be a help, but not sound in the statistical sense. Meanwhile, the adoption of generalized least squares (GLS) method entails much to estimate the variance-covariance matrix. On the other hand, the logistic regression methodology provides sound statistical means in estimating related confidence intervals and testing the significance of model parameters. Based on simulated data, the efficiencies of estimates are ensured with a view to demonstrate the usefulness of the methodology.

키워드

참고문헌

  1. 류제복, 이승주; 낮은 이항 비율에 대한 신뢰구간, 응용통계연구, 19(2) : 217-230, 2006.
  2. 박성현; 현대실험계획법, 민영사, 2007.
  3. 박성현; 회귀분석, 제3판, 민영사, 1999.
  4. Allison, P. D.; Logistic Regression Using the SAS System-Theory and App, SAS, 1999.
  5. Dobson, A. J.; An Introduction to eneralized Linear Models, Chapman and Hall/CNC, 2001.
  6. Kleinbaum, D. G. and Klein, M.; Logistic Regression : A Self Learming Text, 3rd Edition Springer, 2010.
  7. Minitab; Minitab Manual, 2011.
  8. Montgomery, D. C., Peck, E. A., and Vining, G. G.; Introduction to Linear Regression Analysis, 4th Edition, 2006.
  9. Ross, P. J.; Taguchi Techniques for Quality Engineering, McGraw Hill, 1989.
  10. Sloan, D. and Morgan, S. P.; "An Introduction to Categorical Data Analysis," Annual Review of Sociology, 22 : 351-375, 1996. https://doi.org/10.1146/annurev.soc.22.1.351
  11. Strokes, M. E. Davis, C. S., and Koch, G. G., Categorical Data analysis Using The SAS System, 2nd Ed., 2000.