This note is in continuation of the author's reaulte on 'classical' confidence regions for relative potencies in multiple assays (BENNEIT, 1987). I t is shown by the use of a Bonferroni inequality (e.g. MILLER, ch. 2, 1980) that approximata confidence regions for the relative potencies {Mc} i = l ,
On Confidence Regions in Multiple Assays
โ Scribed by Prof. B. M. Bennett
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 322 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0323-3847
No coin nor oath required. For personal study only.
โฆ Synopsis
In multiple essays a 'Standard' preparation is compared in a single assay with two or more 'Test' preparations (FINNEY, 1978, ch. 11). I n addition to the estimation of the relative potency of the 'Test' preparations the question arises as to simultaneous confidence limits, or else a joint confidence region for these relative potencies. This paper compares a joint confidence region using a LR statistic with separate limits based on Fieller's theorem.
These results are presented in an Example on a multiple assay of two tuberculin preparations A, B compared with a Standard one (data of WADLEY, FINNEY, 1978, Table 11.1).
๐ SIMILAR VOLUMES
Let {e,, ..., e k } be the potencies of k' substances relative to a standard in a multiple dilution asray. Joint confidence bounds for these are given with confidence coefficient a t leaat l-a. These bounds are easily interpreted; they appeal to available tables; they improve Scheffe's bounds; they