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| Thí nghiệm yếu tố× | Thiết kế Lập phương Latin và Lập phương Greco-Latin× | |
|---|---|---|
| Lĩnh vực | Thiết kế thí nghiệm | Thiết kế thí nghiệm |
| Họ≠ | Process / pipeline | Hypothesis test |
| Năm ra đời≠ | 1926–1935 | 1935 |
| Người khởi xướng | Ronald A. Fisher | Ronald A. Fisher |
| Loại≠ | Quantitative experimental design | Parametric blocked ANOVA |
| Công trình gốc≠ | Fisher, R. A. (1935). The Design of Experiments. Oliver and Boyd. link ↗ | Montgomery, D. C. (2017). Design and Analysis of Experiments (9th ed.). Wiley. ISBN: 978-1119492443 |
| Tên gọi khác≠ | factorial design, factorial ANOVA design, multi-factor experiment, crossed-factor design | Latin Square, Greco-Latin Square, Latin Kare ve Greco-Latin Kare Deseni |
| Liên quan≠ | 6 | 5 |
| Tóm tắt≠ | A factorial experiment is an experimental design in which two or more independent variables (factors) are manipulated simultaneously, and every combination of their levels is tested. Introduced by Ronald Fisher in the 1920s–1930s, it is the standard approach whenever a researcher needs to detect not only the main effect of each factor but also whether the effect of one factor depends on the level of another — the interaction effect. | The Latin square design is a blocked experimental design that simultaneously controls two independent nuisance factors — the row block and the column block — so that each treatment appears exactly once in every row and every column of an n×n arrangement. Formalised by Ronald A. Fisher in his 1935 monograph The Design of Experiments, the design dramatically reduces experimental error by absorbing variation from two extraneous sources before the treatment effects are estimated. |
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