Description

This Master Prompt focuses on transforming the complete Design of Experiments workflow into an integrated, transparent and defensible research account. Rather than presenting experimental planning, statistical analysis, modeling and optimization as disconnected activities, it guides researchers in constructing a continuous evidence chain linking the research problem → experimental objectives → factors and responses → experimental units → factor ranges → randomization, replication and blocking → design selection → experimental execution → screening or factorial analysis → response modeling → diagnostics → optimization → confirmation → robustness → scientific interpretation. The final synthesis should demonstrate not only what experimental condition performs favorably, but why the experimental design and statistical evidence justify that conclusion.