مقایسهٔ روشها
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| طرح مربع لاتین و مربع لاتین-یونانی× | طرح آزمایشی متقاطع× | |
|---|---|---|
| حوزه | طراحی آزمایش | طراحی آزمایش |
| خانواده | Hypothesis test | Hypothesis test |
| سال پیدایش≠ | 1935 | 1960 |
| پدیدآور≠ | Ronald A. Fisher | Early formalized in clinical research literature; widely used since mid-20th century |
| نوع≠ | Parametric blocked ANOVA | Within-subject repeated-measures design |
| منبع بنیادین≠ | Montgomery, D. C. (2017). Design and Analysis of Experiments (9th ed.). Wiley. ISBN: 978-1119492443 | Senn, S. (2002). Cross-over Trials in Clinical Research (2nd ed.). Wiley. ISBN: 978-0471496533 |
| نامهای دیگر≠ | Latin Square, Greco-Latin Square, Latin Kare ve Greco-Latin Kare Deseni | within-subject crossover, cross-over design, AB/BA design, Çapraz Desen (Crossover Design) |
| مرتبط≠ | 5 | 6 |
| خلاصه≠ | 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. | A crossover design is an experimental design in which each participant receives all treatments under investigation, but in a different sequence and across separate time periods. Each subject thus acts as their own control, which substantially reduces between-subject variability and allows efficient treatment comparisons with smaller sample sizes. The approach has been central to clinical pharmacology and comparative research since the mid-20th century, with foundational methodology codified by Senn (2002) and Jones & Kenward (2014). |
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