A Study on Distribution Based on the Normalized Sample Lorenz Curve

  • Suk-Bok kang (Department of Statistics and Institute of natural Sciences, Youngnam University) ;
  • Cho, Young-Suk (Department of Statistics, Yeungnam University)
  • Published : 2001.04.01

Abstract

Using the Lorenz curve that is proved to be a powerful tool to measure the income inequality within a population of income receivers, we propose the normalized sample Lorenz curve for the goodness-of-fit test that is very important test in statistical analysis. For two hodgkin's disease data sets, we compare the Q-Q plot and the proposed normalized sample Lorenz curve.

Keywords

References

  1. Practical Statistics for Medical Research Alterman,D.G.
  2. 응용통계연구 v.12 no.1 변환된 Lorenz curve를 이용한 분포 연구 Cho,Y.S.;Lee,J.Y.;Kang,S.B.
  3. British Journal Clinical Pharmacology v.32 A new sensitive graphical method for detecting deviations from the normal distribution of drug responses: the NTV plot Endrenyi,L.;Patel,M.
  4. Journal of American Statistical Association v.73 A Scale-free goodness-of-fit test for the exponential distribution based on Lorenz curve Gail,M.H.;Gastwirth,J.L.
  5. Econometrica v.39 A general definition of the Lorenz curve Gastwirth,J.L.
  6. Journal of American Statistical Association v.90 The P-P plot as a method for comparing treatment effects Holmgren,E.B.
  7. British Journal Clinical Pharmacology v.28 Testing for bimodality in frequency distributions of data suggesting polymorphisms of drug metabolism histograms and probit plots Jackson,P.R.;Tucker,G.T.;Woods,H.F.
  8. The Korean Communications in Statistics v.6 no.3 Test of normality based on the transformed Lorenz curve Kang,S.B.;Cho,Y.S.
  9. The Korean Communications in Statistics v.7 no.1 Goodness-of-fit test for the exponential distribution based on the transformed sample Lorenz curve Kang,S.B.;Cho,Y.S.
  10. 응용통계연구 v.11 no.1 Using a normal test variable (NTV) for clinical research Lee,J.Y.;Woo,J.S.;Choi,D.W.
  11. The American Statistician v.49 How to use tests for univariate normality to assess multivariate normality Looney,S.W.
  12. Biometrika v.52 An analysis of variance test for normality (complete samples) Shapiro,S.S.;Wilk,M.B.
  13. Journal of American Statistical Association v.67 An approximation analysis of variance test for normality Shapiro,S.S.;Francia,R.S.