Accession Number:

ADA058809

Title:

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

Descriptive Note:

Technical rept.,

Corporate Author:

CASE WESTERN RESERVE UNIV CLEVELAND OHIO DEPT OF MATHEMATICS AND STATISTICS

Personal Author(s):

Report Date:

1978-08-21

Pagination or Media Count:

22.0

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 Fiellers 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

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE