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| Eksperyment pełnoskładnikowy× | Układ kwadratu łacińskiego i kwadratu grecko-łacińskiego× | |
|---|---|---|
| Dziedzina | Planowanie eksperymentów | Planowanie eksperymentów |
| Rodzina≠ | Process / pipeline | Hypothesis test |
| Rok powstania≠ | 1926 (Fisher's foundational paper); codified by the 1950s–1960s | 1935 |
| Twórca | Ronald A. Fisher | Ronald A. Fisher |
| Typ≠ | Experimental design | Parametric blocked ANOVA |
| Źródło pierwotne≠ | Box, G. E. P., Hunter, J. S., & Hunter, W. G. (2005). Statistics for Experimenters: Design, Innovation, and Discovery (2nd ed.). Wiley-Interscience. ISBN: 978-0471718130 | Montgomery, D. C. (2017). Design and Analysis of Experiments (9th ed.). Wiley. ISBN: 978-1119492443 |
| Inne nazwy≠ | full factorial design, complete factorial design, 2^k factorial design, FFD | Latin Square, Greco-Latin Square, Latin Kare ve Greco-Latin Kare Deseni |
| Pokrewne≠ | 6 | 5 |
| Podsumowanie≠ | A full factorial experiment runs every possible combination of all chosen factor levels, making it the gold standard for simultaneously estimating main effects, two-way interactions, and higher-order interactions among multiple independent variables. Introduced through Ronald Fisher's foundational work on factorial designs in the 1920s and systematised by Box, Hunter, and Montgomery, it provides complete information about how factors act individually and in combination on an outcome. | 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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