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2^(k-p) teilfaktorieller Versuchsplan×Einfaktorielle Varianzanalyse×
FachgebietVersuchsplanungStatistik
FamilieHypothesis testHypothesis test
Entstehungsjahr19611925
UrheberGeorge E. P. Box and J. Stuart HunterRonald A. Fisher
TypScreening and economical factorial designParametric mean comparison
Wegweisende QuelleBox, G.E.P. & Hunter, J.S. (1961). The 2^(k-p) Fractional Factorial Designs. Technometrics, 3(3), 311–351. link ↗Fisher, R. A. (1925). Statistical Methods for Research Workers. Edinburgh: Oliver and Boyd. link ↗
Aliasnamen2^k-p design, fractional factorial, screening design, Kesirli Faktöriyel Desen (2^k-p Fractional Factorial)one-factor ANOVA, single-factor ANOVA, analysis of variance, tek yönlü ANOVA
Verwandt74
ZusammenfassungThe 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.One-way ANOVA is a parametric hypothesis test that compares the means of three or more independent groups on a single continuous outcome to decide whether at least one group mean differs. It rests on the variance-partitioning framework introduced by Ronald A. Fisher in 1925.
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ScholarGateMethoden vergleichen: Fractional Factorial Design · One-way ANOVA. Abgerufen am 2026-06-19 von https://scholargate.app/de/compare