• Title/Summary/Keyword: Shapiro

Search Result 165, Processing Time 0.126 seconds

More Powerful Test for Normality Based on the Normalized Sample Lorenz Curve (NORMALIZED SAMPLE LORENZ CURVE를 이용한 검정력이 높은 정규성 검정)

  • 강석복;조영석
    • The Korean Journal of Applied Statistics
    • /
    • v.15 no.2
    • /
    • pp.415-421
    • /
    • 2002
  • Because most common assumption is normality in statistical analysis, testing normality is very important. We propose a new plot and test statistic to test for normality based on the modified Lorenz curve that is proved to be a powerful tool to measure the income inequality within a population of income receivers. We also compare the proposed test statistics with the W test (Shapiro and Wilk (1965)), TL test (Kang and Cho (1999)) in terms of the power of test through by Monte Carlo method. The proposed test is more usually powerful than the other tests except some case.

Goodness-of-Fit Test for the Normality based on the Generalized Lorenz Curve

  • Cho, Youngseuk;Lee, Kyeongjun
    • Communications for Statistical Applications and Methods
    • /
    • v.21 no.4
    • /
    • pp.309-316
    • /
    • 2014
  • Testing normality is very important because the most common assumption is normality in statistical analysis. We propose a new plot and test statistic to goodness-of-fit test for normality based on the generalized Lorenz curve. We compare the new plot with the Q-Q plot. We also compare the new test statistic with the Kolmogorov-Smirnov (KS), Cramer-von Mises (CVM), Anderson-Darling (AD), Shapiro-Francia (SF), and Shapiro-Wilks (W) test statistic in terms of the power of the test through by Monte Carlo method. As a result, new plot is clearly classified normality and non-normality than Q-Q plot; in addition, the new test statistic is more powerful than the other test statistics for asymmetrical distribution. We check the proposed test statistic and plot using Hodgkin's disease data.

IPRs Management in the Koran IT Industry: The Case of Patent Pool & Patent Platform (국내 정보통신산업의 지적재산권 공동 관리방안 : Patent Pool과 Patent Platform 비교분석)

  • 이응석
    • Journal of Technology Innovation
    • /
    • v.12 no.1
    • /
    • pp.219-240
    • /
    • 2004
  • As Shapiro and Varian argue the open approach generates bandwagon effects and facilitates the diffusion of a standard thanks to network externalities. However, the open approach is not linked automatically to economic benefits as suggested by some famous cases as the IBM PC history. On the contrary, the closed approach enables a tight control over a technology and its development, and insures the appropriation of economic benefits. As Shapiro and Varian suggest, a firm can also decide to mix an open approach with tight control over improvement or extentions. Patent pool is to offer fair, reasonable, nondiscriminatory access under a single license to patents that are essential for the use of standards-based or other platform technologies. patent pool offers only one license to everyone, Since each patent is essential, the royalty rate and thus the value is the same whether a licensee uses one or more patents.

  • PDF

Power Analysis for Normality Plots (정규성 그래프의 검정력 비교)

  • Lee, Jae-Young;Rhee, Seong-Won
    • Journal of the Korean Data and Information Science Society
    • /
    • v.10 no.2
    • /
    • pp.429-436
    • /
    • 1999
  • We suggest test statistics for normality using Q-Q plot and P-P plot and obtain empirical quantities of these statistics. Also the power comparison with Shapiro-Wilk's W is conducted by Monte Carlo study.

  • PDF

The Study on the analysis of Invariance Concept in Secondaty Mathematics Contents (불변성 개념에 관련된 중등학교 수학내용의 분석에 대한 연구)

  • Lee, Sang-Keun;Kim, Tae-Ho;Chung, Ki-Young;Lee, Chun-Goo
    • Communications of Mathematical Education
    • /
    • v.20 no.4 s.28
    • /
    • pp.603-619
    • /
    • 2006
  • One of the most important aims in mathematics education is to enhance students' problem-solving abilities. To achieve this aim, in real school classrooms, many educators have examined and developed effective teaching methods, learning strategies, and practical problem-solving techniques. Among those trials, it is noticeable that Engel, Zeits, Shapiro and other not a few mathematicians emphasized 'Invariance Principle' as a mean of solving problems. This study is to consider the basic concept of 'Invariance Principle', analyze 'Invariance' concept in secondary Mathematics contents on the basis of framework of 'Invariance Principle' shown by Shapiro and discuss some instructional issues to occur in the process of it.

  • PDF

EINSTEIN EQUATIONS IN NUMERICAL RELATIVITY

  • Park, Seok-Jae
    • Publications of The Korean Astronomical Society
    • /
    • v.5 no.1
    • /
    • pp.17-25
    • /
    • 1990
  • Rapid progress in modern computer industries now enables us to solve the Einstein equations numerically. In the first part of this paper we briefly review how to deal with those equations in relativistic astrophysics and cosmology. In the second part we introduce two examples-the Centrella and Wilson's cosmology and the Shapiro and Teukolsky's relativistic stellar cluster.

  • PDF