Math 330 Design of Experiments
An engineer is interested in studying the effect of two different hardening processes, oil quenching and saltwater quenching, on an aluminum alloy. The objective of this research is to determine which quenching solution produces the maximum hardness for the particular alloy. Do you know which theory in science can help the engineer design this study?
There are two different brands of batteries in the market and your radio, camera, and DVD player need battery. Which brand do you buy? Obviously you would like to buy the brand with longer life time.
Which combination of seeds, fertilizer, and soil, could produce more tomatos in your garden? Which combination of the three types of medicine, three types of exercise, and two types of eating regiment can significantly lower blood cholesterol level? All these questions and many more can be answered by using a statistical theory called design and analysis of experiments.
Design of experiments, or experimental design, is the design of all information-gathering exercises where variation is present, whether under the full control of the experimenter or not. Often the experimenter is interested in the effect of some process or intervention (the "treatment") on some objects (the "experimental units"), which may be people. Design of experiments is thus a discipline that has very broad application across all the natural and social sciences.
In math 330 you will learn the methods of building different experimental designs and the methods of analyzing the results. Both design and analysis will be performed by using a statistical software package.