The analysis of tank calibration data from several runs

The experimentally determined relationship between the level of liquid and volume of liquid in a tank which is used to obtain volume estimates that correspond to liquid level measurements was analyzed. Several calibration experiments are made to estimate the calibration equation. The calibration equation is used to estimate the quantity of liquid transferred from a tank between measurement periods. Difficulties can arise when run to run differences are large relative to the precisions of liquid level and volume measurements. The problem of combining and analyzing data from two or more calibration runs is addressed. Exploratory methods such as diagnostic plots that are compatible with applicable statistical models are emphasized.