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Note on Confidence Regions in Multiple Assays

โœ Scribed by Prof. B. M. Bennett

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
103 KB
Volume
30
Category
Article
ISSN
0323-3847

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โœฆ Synopsis

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 , ...,p may also be obtained directly. A comparison with the classical regions is made for the case: p = 2 using Finney's example (1978, ch. 2).

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On Confidence Regions in Multiple Assays
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โœ Prof. B. M. Bennett ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 322 KB

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 confidenc

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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