Description

This Master Prompt establishes the conceptual, statistical, and methodological foundations of Design of Experiments (DOE) and positions DOE as an integrated research architecture for generating reliable, efficient, reproducible, and interpretable experimental evidence rather than merely as a statistical tool for parameter optimization. It guides researchers in translating a scientific or engineering problem into experimental objectives, hypotheses, responses, controllable and uncontrollable factors, factor levels and ranges, experimental units, treatments, constraints, sources of variation, statistical models, and decision criteria.