## Tolerance Distribution

For a single independent variable, such as a dosage
level, the models for the probabilities can be justified
on the basis of a population with mean and scale
parameter of tolerances for the subjects.
Then, given a dose x, the probability, *P*, of observing
a response in a particular subject is the probability
that the subject's tolerance is less than the dose or

Thus, in this case, the intercept parameter,
**b**_{0}, and the regression parameter,
**b**_{1}, are related to and by

**Note:** The parameter is not equal to the
standard deviation of the population of tolerances
for the logistic and extreme value distributions.

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