So sánh phương pháp

	Thiết kế thí nghiệm tối ưu (Tối ưu D, Tối ưu I)	Thiết kế thực nghiệm toàn yếu tố
Lĩnh vực	Thiết kế thí nghiệm	Thiết kế thí nghiệm
Họ	Hypothesis test	Hypothesis test
Năm ra đời	1972	1926
Người khởi xướng	V. V. Fedorov	R. A. Fisher
Loại	Computer-aided optimal design	Parametric factorial experiment
Công trình gốc	Fedorov, V.V. (1972). Theory of Optimal Experiments. Academic Press.	Box, G. E. P., Hunter, J. S., & Hunter, W. G. (2005). Statistics for Experimenters: Design, Innovation, and Discovery (2nd ed.). Wiley. ISBN: 978-0471718130
Tên gọi khác	D-Optimal Design, I-Optimal Design, Computer-Generated Design, Optimal Deneme Deseni (D-Optimal, I-Optimal)	factorial experiment, 2^k factorial, full factorial, Faktöriyel Deneme Deseni (Full Factorial, 2^k)
Liên quan	5	5
Tóm tắt	Optimal experimental design is a computer-aided approach to constructing experiments that maximises statistical efficiency for a given model and run budget. Formalised by V. V. Fedorov in 1972, it selects experimental points from a candidate set so that the information matrix M = X'X is optimised according to a chosen criterion — most commonly D-optimality (maximising the determinant) or I-optimality (minimising average prediction variance). It is the preferred strategy whenever classical designs such as central composite or Box-Behnken cannot be applied because the experimental region is constrained or factor ranges are irregular.	A full factorial design is a parametric experimental method in which every combination of factor levels is tested simultaneously, enabling the estimation of all main effects and all interaction effects in a single study. Rooted in R. A. Fisher's foundational work on designed experiments (1926) and systematically developed by Box, Hunter, and Hunter (2005) and Montgomery (2017), the 2^k form tests k two-level factors across 2^k experimental runs and is the benchmark against which all other factorial designs are measured.