Simultaneous Confidence Intervals for Linear Combinations of Two Inverse Linear Regression Parameters.

Abstract

Confidence intervals for the inverse linear regression parameter can be obtained from the least-squares estimators of the regression coefficients by applying the celebrated Fieller Theorem. In the present paper we develop a method based on the simultaneous application of Fieller's Theorem to obtain simultaneous confidence intervals to any linear combination of the inverse regressions of two independent regression lines, which are not parallel. Computer subroutine functions are provided to assist in actual computations. The exact confidence limits are compared numerically to asymptotic confidence limits in order to illustrate the deficiency of the method based on asymptotic formula. An application to comparative (non-dilution) bioassays is shown too. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Aug 21, 1978
Accession Number
ADA058809

Entities

People

  • Shelemyahu Zacks

Organizations

  • Case Western Reserve University

Tags

Communities of Interest

  • Biomedical

DTIC Thesaurus Topics

  • Air Pollution
  • Assays
  • Bioassay
  • Coefficients
  • Computations
  • Computers
  • Confidence Limits
  • Dilution
  • Equations
  • Estimators
  • Mathematics
  • New York
  • Probability
  • Random Variables
  • Statistical Inference
  • Statistics
  • United States

Fields of Study

  • Mathematics

Readers

  • Linear Algebra
  • Regression Analysis.