Cj. Kowalski et al., PC PROGRAM FOR DETERMINING THE DOSE NECESSARY TO PRODUCE A GIVEN AMOUNT OF CHANGE, International journal of bio-medical computing, 38(3), 1995, pp. 233-238
Given a simple linear regression equation of the form D = alpha + beta
Z, it is well-known how to predict, and construct confidence interval
s for, the value of D corresponding to a given Z. In this paper we des
cribe, illustrate and make available a menu-driven PC program which ca
n be used to solve the inverse problem, namely, to estimate and constr
uct confidence intervals for the value of Z corresponding to a given v
alue of D. We describe the procedure in the context of a dose-response
relationship, where it is desired to estimate the dose (Z) to effect
a given amount of change (D), but the method is more general than this
. In particular, it may be usefully applied in calibration problems wh
ere one may wish to estimate the true value of a measurement given the
value as read from a measuring device.