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| Κλασματικός Παραγοντικός Σχεδιασμός 2^(k-p)× | Σχεδιασμός Πειραμάτων Υπο-τεμαχίων (Split-Plot Experimental Design)× | |
|---|---|---|
| Πεδίο | Πειραματικός Σχεδιασμός | Πειραματικός Σχεδιασμός |
| Οικογένεια | Hypothesis test | Hypothesis test |
| Έτος προέλευσης≠ | 1961 | 1935 |
| Δημιουργός≠ | George E. P. Box and J. Stuart Hunter | Frank Yates |
| Τύπος≠ | Screening and economical factorial design | Parametric mixed-model ANOVA |
| Θεμελιώδης πηγή≠ | Box, G.E.P. & Hunter, J.S. (1961). The 2^(k-p) Fractional Factorial Designs. Technometrics, 3(3), 311–351. link ↗ | Yates, F. (1935). Complex Experiments. Supplement to the Journal of the Royal Statistical Society, 2(2), 181–247. DOI ↗ |
| Εναλλακτικές ονομασίες≠ | 2^k-p design, fractional factorial, screening design, Kesirli Faktöriyel Desen (2^k-p Fractional Factorial) | split-plot ANOVA, whole-plot sub-plot design, Bölünmüş Parsel Deseni (Split-Plot) |
| Συναφείς≠ | 7 | 6 |
| Σύνοψη≠ | The fractional factorial design is an economical experimental strategy that investigates k factors by running only a carefully chosen 1/2^p fraction of the full 2^k factorial experiment. Formalized by George E. P. Box and J. Stuart Hunter in their landmark 1961 Technometrics paper, it exploits the sparsity-of-effects principle — that high-order interactions are typically negligible — to screen many factors with far fewer runs than a complete factorial would require. | The split-plot design is a parametric experimental design that applies one factor to large whole plots and a second factor to subdivisions (sub-plots) within each whole plot. It was introduced by Frank Yates in 1935 to handle agricultural experiments where one factor — such as irrigation or tillage method — is difficult or impractical to change frequently, while a second factor can be varied more easily within the same plot. |
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