مقایسهٔ روشها
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| تحلیل واریانس عاملی ترکیبی (Mixed ANOVA)× | تحلیل کوواریانس (ANCOVA)× | تحلیل واریانس یکطرفه× | |
|---|---|---|---|
| حوزه | آمار | آمار | آمار |
| خانواده | Hypothesis test | Hypothesis test | Hypothesis test |
| سال پیدایش≠ | 1925 | 1932 | 1925 |
| پدیدآور≠ | R. A. Fisher (ANOVA framework); split-plot design formalised in agricultural experimentation | Ronald A. Fisher | Ronald A. Fisher |
| نوع≠ | Parametric factorial ANOVA | Parametric group comparison with covariate control | Parametric mean comparison |
| منبع بنیادین≠ | Field, A. (2018). Discovering Statistics Using IBM SPSS Statistics (5th ed.). SAGE. ISBN: 978-1526419521 | Tabachnick, B.G. & Fidell, L.S. (2013). Using Multivariate Statistics (6th ed.). Pearson. ISBN: 978-0205849574 | Fisher, R. A. (1925). Statistical Methods for Research Workers. Edinburgh: Oliver and Boyd. link ↗ |
| نامهای دیگر≠ | split-plot ANOVA, mixed-design ANOVA, between-within ANOVA, Karma ANOVA (Mixed ANOVA — Gruplar Arası × Tekrarlı) | analysis of covariance, covariance analysis, ANCOVA (Kovaryans Analizi) | one-factor ANOVA, single-factor ANOVA, analysis of variance, tek yönlü ANOVA |
| مرتبط≠ | 6 | 4 | 4 |
| خلاصه≠ | Mixed ANOVA is a parametric factorial analysis of variance that simultaneously examines at least one between-subjects factor and at least one within-subjects (repeated-measures) factor. Rooted in R. A. Fisher's ANOVA framework formalised in 1925, it is the standard method for experimental and longitudinal designs in which different groups are each measured across multiple time points or conditions. | ANCOVA is a parametric hypothesis test that compares the adjusted means of two or more independent groups while statistically controlling for one or more continuous covariates. By removing the portion of outcome variance explained by the covariate, ANCOVA increases statistical precision and produces fairer group comparisons. The method builds on the general linear model framework consolidated by Fisher in the early 1930s and is described comprehensively by Tabachnick and Fidell (2013). | 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. |
| ScholarGateمجموعهداده ↗ |
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