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| 全因子実験計画× | 二元配置分散分析 (Two-Way ANOVA)× | |
|---|---|---|
| 分野≠ | 実験計画法 | 統計学 |
| 系統 | Hypothesis test | Hypothesis test |
| 提唱年≠ | 1926 | 1925 |
| 提唱者≠ | R. A. Fisher | Ronald A. Fisher |
| 種類≠ | Parametric factorial experiment | Parametric factorial mean comparison |
| 原典≠ | Box, G. E. P., Hunter, J. S., & Hunter, W. G. (2005). Statistics for Experimenters: Design, Innovation, and Discovery (2nd ed.). Wiley. ISBN: 978-0471718130 | Montgomery, D. C. (2017). Design and Analysis of Experiments (9th ed.). Wiley. ISBN: 978-1119113478 |
| 別名≠ | factorial experiment, 2^k factorial, full factorial, Faktöriyel Deneme Deseni (Full Factorial, 2^k) | factorial ANOVA, two-factor ANOVA, İki Yönlü ANOVA |
| 関連≠ | 5 | 6 |
| 概要≠ | 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. | 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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