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| Κλασματικός Παραγοντικός Σχεδιασμός 2^(k-p)× | Ανάλυση Διακύμανσης Δύο Παραγόντων (Two-Way ANOVA)× | |
|---|---|---|
| Πεδίο≠ | Πειραματικός Σχεδιασμός | Στατιστική |
| Οικογένεια | Hypothesis test | Hypothesis test |
| Έτος προέλευσης≠ | 1961 | 1925 |
| Δημιουργός≠ | George E. P. Box and J. Stuart Hunter | Ronald A. Fisher |
| Τύπος≠ | Screening and economical factorial design | Parametric factorial mean comparison |
| Θεμελιώδης πηγή≠ | Box, G.E.P. & Hunter, J.S. (1961). The 2^(k-p) Fractional Factorial Designs. Technometrics, 3(3), 311–351. link ↗ | Montgomery, D. C. (2017). Design and Analysis of Experiments (9th ed.). Wiley. ISBN: 978-1119113478 |
| Εναλλακτικές ονομασίες≠ | 2^k-p design, fractional factorial, screening design, Kesirli Faktöriyel Desen (2^k-p Fractional Factorial) | factorial ANOVA, two-factor ANOVA, İki Yönlü ANOVA |
| 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. | Two-Way ANOVA is a parametric hypothesis test that simultaneously examines the main effects of two independent categorical factors and their interaction effect on a single continuous dependent variable. The technique was developed within the broader framework of the analysis of variance established by Ronald A. Fisher in 1925 and remains the standard approach whenever an experiment or survey includes exactly two between-subjects factors. |
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