Estimation of an Unknown Dose
Dose-response models are common in agriculture and biology. Dose-response curves are often
used in bioassay to determine unknown dosage levels. The programs below illustrate the process
of unknown dose estimation under two conditions:
1) the calibration curve is known without error, and
2) the calibration curve is estimated with known error.
Examples are given for the Logistic Model:
y = 1/(1 + exp(-B*(dose - G)))
where y = the proportion of sucesses, B is a rate related parameter, G is the estimate of the 50th percentile
and dose is the applied dose.
The Bayesian solution reparamterizes the first form in terms of
T1, the initial proportion of sucesses at dose = 0, and T2, the final proportion of sucesses at dose = maximum.
Prior distributions for T1 and T2 are assumed uniform.
Source
Calibration curve known
Calibration curve estimated
Data
Black Vine Weevil Data