ABSTRACT
In the previous chapters, we discussed the univariate analysis of variance ANOVA. In those sections, we studied the one-way and two-way classifications as well as full two-factor factorial experiments-the two-factor factorial experiment being a two-way classification with replication. In those studies, only one response or independent variable was elicited for each of the units in the designed experiments. However, with recent advances in sciences and the advent of more sophisticated measurement equipment, it is now possible to measure a number of responses of a chemical system in a designed experiment simultaneously. Some industrial processes have more than one yield for the settings of the system control factors. In chemical studies, some spectrophotometers can simultaneously measure several spectra. In distillations from raw material, more than one response can be simultaneously elicited. In educational research, students can be subjected to a number of tests under different teaching methods.
