Abstract

We consider situations in which some characteristic is to be measured on each of several specimens. For instance, the characteristic may be the concentration of lead in soil samples and a laboratory may routinely analyze samples from different customers. A measuring device is used to obtain the responses and the measurement errors generally exhibit a serial correlated structure. To help adjust the instrument readings for this serial correlation, standards are interspersed among the specimens at appropriate intervals. In this talk, we present the results of an investigation of balanced measurement designs that minimize the uncertainty in the adjusted measurements under an AR(1) error structure. Examples are given to illustrate the results. Key Words: Calibration problem; AR(1) process; Systematic errors; Random errors; A-optimality.