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ec50
2003 Jul 24
5
inverse prediction and Poisson regression
...erm. The "first" dose in the dose vector is 0.
This is really a nice fit. I can obtain a nice slope (B) and intercept (A):
log(Y) = B log(x) + A
I do have a biological value for dose = 0 from my "control". i/e Ymax = some number with a Poisson error again
So, what I want is EC50x :
Y/Ymax = 0.5 = exp(B log(EC50x) + A) / Ymax
exp((log(0.5) + Log(Ymax)) - A)/B) = EC50x
That's all fine, except I don't have a clue on how to calculate the confidence intervals of EC50x or even if I can model this inverse prediction with a Poisson regression. In OLS linear regression, f...