History and overview of design and analysis of experiments (Q2799884)

This article on history and overview of design of experiments is best summarized by listing its sections and subsections: Section 1: Introduction section; 2: Rothamsted experiments (Broadbalk experiment/Hoosfield experiment); Section 3: Statistical foundations of scientific experimentation: three principles (replication/randomization/blocking/analysis of covariance/systematic and trend-free designs); Section 4: Latin square principle (Latin square design/change-over designs/orthogonal Latin squares); Section 5: Factorial experiments (rationale: efficiency and comprehensiveness/confounding/some general results/asymmetrical factorials/split-plot experiments); Section 6: Incomplete block designs (balanced incomplete block designs/pseudo-factorial designs/partially balanced incomplete block designs/Youden square designs/comparing treatments with a control); Section 7: Fractional factorial designs (fractional replication/characterization of regular fractional factorials/main effect plans/supersaturated and search designs); Section 8: Industrial and technological experimentation (early use of experimental design/basic ideas of response surface methodology/response surface designs/mixture experiments/computer experiments); Section 9: Efficiency and optimality of designs (relative efficiency/efficiency factor/optimality); Section 10: Matters of analysis and computation (nonorthogonal designs/complex error structures/graphical methods/statistical software packages); Section 11: Areas of application (genetics and breeding/ agronomy/medicine and pharmacology/marketing/manufacturing and product development); Section 12: Epilogue; References.NEWLINENEWLINEFor the entire collection see [Zbl 1327.62001].