Simplified Computation of Confidence Intervals for Relative Potencies using Fieller's Theorem

Confidence intervals for relative potencies in bioassays are usually calculated by using Fieller's theorem, but the procedures presented in standard texts are computationally cumbersome. It is shown that Fieller's formula can be expressed in an alternative form which takes advantage of cal...

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Bibliographic Details
Published in:Journal of pharmaceutical sciences 1966-04, Vol.55 (4), p.368-371
Main Authors: Cox, C.Philip, Ruhl, Donna J.
Format: Article
Language:English
Subjects:
Biological Assay
Mathematics
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Summary:Confidence intervals for relative potencies in bioassays are usually calculated by using Fieller's theorem, but the procedures presented in standard texts are computationally cumbersome. It is shown that Fieller's formula can be expressed in an alternative form which takes advantage of calculated quantities from the analysis of variance (ANOV) and thus simplifies computations. Slope ratio assays and parallel line assays are discussed, and 2 examples illustrate the use of the proposed alternatives.
ISSN:0022-3549
1520-6017
DOI:10.1002/jps.2600550403