On normalizing the incomplete beta-function for fitting to dose-response curves
- 1 June 1960
- journal article
- research article
- Published by Oxford University Press (OUP) in Biometrika
- Vol. 47 (1-2) , 173-175
- https://doi.org/10.1093/biomet/47.1-2.173
Abstract
It is shown that if the probability integral of κ is the incomplete beta-function lκ(p, q) = α, the cube root of −logκ is distributed normally to good approximation for all q ≥ 2 and p ≥ q, at least for probabilities α between 0.05 and 0.95. This makes it easy to fit dose-response curves when α is the probability of response and κ depends on the dose, and to do so more simply than from another transformation of κ recently published in Biometrika.Keywords
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