Canonical Analysis: Classic Plans and Simplex Method

This lecture covers the methodology of experimental designs, focusing on canonical analysis, classic plans, and the simplex method. It explains how canonical analysis helps determine the center and orientation of figures, the main axes, and fixed points. The instructor illustrates these concepts through examples of canonical models and the determination of response values at fixed points using the simplex method. Additionally, the lecture explores the setup of reference models for experiments, including strategies like composite design, Doehlert design, and Box-Behnken design. The visualization of reference models and the simulation of experiments with experimental variances are also discussed.