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Vollfaktorielle Versuchsplanung×Lateinisches Quadrat und Griechisch-Lateinisches Quadrat-Design×
FachgebietVersuchsplanungVersuchsplanung
FamilieProcess / pipelineHypothesis test
Entstehungsjahr1926 (Fisher's foundational paper); codified by the 1950s–1960s1935
UrheberRonald A. FisherRonald A. Fisher
TypExperimental designParametric blocked ANOVA
Wegweisende QuelleBox, G. E. P., Hunter, J. S., & Hunter, W. G. (2005). Statistics for Experimenters: Design, Innovation, and Discovery (2nd ed.). Wiley-Interscience. ISBN: 978-0471718130Montgomery, D. C. (2017). Design and Analysis of Experiments (9th ed.). Wiley. ISBN: 978-1119492443
Aliasnamenfull factorial design, complete factorial design, 2^k factorial design, FFDLatin Square, Greco-Latin Square, Latin Kare ve Greco-Latin Kare Deseni
Verwandt65
ZusammenfassungA 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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ScholarGateMethoden vergleichen: Full Factorial Experiment · Latin Square Design. Abgerufen am 2026-06-18 von https://scholargate.app/de/compare