A number of difficult problems in experimental design and analysis were afforded by an experiment to evaluate the precision and accuracy of a new facility for calibrating cryogenic flow meters. Time order was an important variable, but could not be economically randomized. The design space was not rectangular and two important variables were intrinsically highly correlated. The resulting data had outliers, cycles, unexpected shifts and other dilticultics. This report chronicals the evolution of the design of the experiments and the analysis of the results.