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On Confidence Regions in Multiple Assays

โœ 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

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โœฆ 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).


๐Ÿ“œ SIMILAR VOLUMES


Note on Confidence Regions in Multiple A
โœ Prof. B. M. Bennett ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 103 KB

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 ,

Joint Confidence Sets in Multiple Diluti
โœ D. R. Jensen ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 681 KB

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