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PC program for determining the dose necessary to produce a given amount of change
C J Kowalski1, E D Schneiderman, S M Willis
1Department of Biologic and Materials Sciences, Dental School, University of Michigan, Ann Arbor 48109, USA.
Abstract:
Given a simple linear regression equation of the form D = alpha + beta Z, it is well-known how to predict, and construct confidence intervals for, the value of D corresponding to a given Z. In this paper we describe, illustrate and make available a menu-driven PC program which can be used to solve the inverse problem, namely, to estimate and construct confidence intervals for the value of Z corresponding to a given value 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 where one may wish to estimate the true value of a measurement given the value as read from a measuring device.