Title page for etd-0719108-023054


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URN etd-0719108-023054
Author Chun-shian Ho
Author's Email Address m952040002@student.nsysu.edu.tw
Statistics This thesis had been viewed 5098 times. Download 1051 times.
Department Applied Mathematics
Year 2007
Semester 2
Degree Master
Type of Document
Language English
Title Estimation of Orthogonal Regression Under Censored Data.
Date of Defense 2008-06-19
Page Count 51
Keyword
  • ordinary regression
  • orthogonal regression
  • least square
  • exact data
  • censored data
  • confidence ellipse
  • bivariate normal
  • vertical distances
  • orthogonal distances
  • Abstract The method of least squares has been used in general for regression analysis. It is usually assumed that the errors are confined to the dependent variable, but in many cases both dependent and independent variables are typically measured with some stochastic errors. The statistical method of orthogonal regression has been used when both variables under investigation are subject to stochastic errors. Furthermore, the measurements sometimes may not be exact but have been censored. In this situation doing orthogonal regression with censored data directly between the two variables, it may yield an incorrect estimates of the relationship. In this work we discuss the estimation of orthogonal regression under censored data in one variable and then provide a method of estimation and two criteria on when the method is applicable. When the observations satisfy the criteria provided here, there will not be very large differences between the estimated orthogonal regression line and the theoretical orthogonal regression line.
    Advisory Committee
  • Mei-Hui Guo - chair
  • Fu-Chuen Chang - co-chair
  • Ray-Bing Chen - co-chair
  • none - co-chair
  • Mong-Na Lo Huang - advisor
  • Files
  • etd-0719108-023054.pdf
  • indicate accessible in a year
    Date of Submission 2008-07-19

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