Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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The Confidence Band of $ED_{100p}$ for the Simple Logistic Regression Model

  • Cho, Tae Kyoung (Assistant Professor, Dept, of Statistics and Information Science, Dongguk University, Kyongju, 780-714) ;
  • Shin, Mi Young (Associate Professor, Dept, of Mathematics, The Catholic University of Korea, Puchon City, 420-743)
  • Published : 2001.12.01
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Abstract

The $ED_{100p}$ is that value of the dose associated with 100p% response rate in the analysis of quantal response data. Brand, Pinnock, and Jackson (1973) studied the confidence bands of $ED_{100p}$ obtained by solving extremal values algebraically on the ellipsoid confidence region of the parameters in the simple logistic regression model. In this paper, we develope and illustrate a simpler method for obtaining confidence bands for $ED_{100p}$ based on the rectangular confidence region of parameters.

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References

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