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| Σχεδιασμός Τετραγώνου Λατίνου και Τετραγώνου Ελληνο-Λατίνου× | Πειραματικός Σχεδιασμός Πλήρους Παραγοντικού Τύπου× | |
|---|---|---|
| Πεδίο | Πειραματικός Σχεδιασμός | Πειραματικός Σχεδιασμός |
| Οικογένεια | Hypothesis test | Hypothesis test |
| Έτος προέλευσης≠ | 1935 | 1926 |
| Δημιουργός≠ | Ronald A. Fisher | R. A. Fisher |
| Τύπος≠ | Parametric blocked ANOVA | Parametric factorial experiment |
| Θεμελιώδης πηγή≠ | Montgomery, D. C. (2017). Design and Analysis of Experiments (9th ed.). Wiley. ISBN: 978-1119492443 | Box, G. E. P., Hunter, J. S., & Hunter, W. G. (2005). Statistics for Experimenters: Design, Innovation, and Discovery (2nd ed.). Wiley. ISBN: 978-0471718130 |
| Εναλλακτικές ονομασίες≠ | Latin Square, Greco-Latin Square, Latin Kare ve Greco-Latin Kare Deseni | factorial experiment, 2^k factorial, full factorial, Faktöriyel Deneme Deseni (Full Factorial, 2^k) |
| Συναφείς | 5 | 5 |
| Σύνοψη≠ | 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. | 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. |
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