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| Напълно рандомизиран дизайн (CRD)× | Пълнофакторен експериментален план× | Тест на Крускал-Уолис H× | |
|---|---|---|---|
| Област≠ | Планиране на експеримента | Планиране на експеримента | Статистика |
| Семейство | Hypothesis test | Hypothesis test | Hypothesis test |
| Година на възникване≠ | 1935 | 1926 | 1952 |
| Създател≠ | R. A. Fisher | R. A. Fisher | William Kruskal & W. Allen Wallis |
| Тип≠ | Parametric group comparison via one-way ANOVA | Parametric factorial experiment | Nonparametric group comparison |
| Основополагащ източник≠ | Montgomery, D.C. (2017). Design and Analysis of Experiments. Wiley. ISBN: 978-1119320937 | Box, G. E. P., Hunter, J. S., & Hunter, W. G. (2005). Statistics for Experimenters: Design, Innovation, and Discovery (2nd ed.). Wiley. ISBN: 978-0471718130 | Kruskal, W. H. & Wallis, W. A. (1952). Use of ranks in one-criterion variance analysis. Journal of the American Statistical Association, 47(260), 583–621. DOI ↗ |
| Други названия | CRD, completely randomised design, one-way experimental design, Tam Tesadüf Deneme Deseni (CRD) | factorial experiment, 2^k factorial, full factorial, Faktöriyel Deneme Deseni (Full Factorial, 2^k) | Kruskal-Wallis H test, one-way ANOVA on ranks, Kruskal-Wallis one-way analysis of variance, Kruskal-Wallis Testi |
| Свързани≠ | 3 | 5 | 5 |
| Резюме≠ | The completely randomized design is the most fundamental experimental design, in which experimental units are assigned to treatments entirely at random with no restrictions. Analysed by one-way ANOVA, it was formalised by R. A. Fisher in the 1930s and remains the reference starting point for experimental research whenever the experimental material is homogeneous and nuisance variation is absent or negligible. | 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. | The Kruskal-Wallis H test is a nonparametric hypothesis test that compares three or more independent groups to decide whether their distributions (typically their medians) differ. Introduced by William Kruskal and W. Allen Wallis in 1952, it works on ranks rather than raw values and is the distribution-free counterpart to one-way ANOVA. |
| ScholarGateНабор от данни ↗ |
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