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| Ανάμεικτη Ανάλυση Διακύμανσης (Mixed ANOVA)× | Ανάλυση Διακύμανσης Πολλών Μεταβλητών (MANOVA)× | Μονόδρομη Ανάλυση Διακύμανσης× | |
|---|---|---|---|
| Πεδίο | Στατιστική | Στατιστική | Στατιστική |
| Οικογένεια | Hypothesis test | Hypothesis test | Hypothesis test |
| Έτος προέλευσης≠ | 1925 | 1932 | 1925 |
| Δημιουργός≠ | R. A. Fisher (ANOVA framework); split-plot design formalised in agricultural experimentation | Samuel Stanley Wilks (Wilks' Lambda, 1932); Roy, Hotelling, Pillai (mid-20th c.) | Ronald A. Fisher |
| Τύπος≠ | Parametric factorial ANOVA | Parametric multivariate mean comparison | Parametric mean comparison |
| Θεμελιώδης πηγή≠ | 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 ↗ |
| Εναλλακτικές ονομασίες≠ | split-plot ANOVA, mixed-design ANOVA, between-within ANOVA, Karma ANOVA (Mixed ANOVA — Gruplar Arası × Tekrarlı) | Multivariate ANOVA, Çok Değişkenli ANOVA (MANOVA) | one-factor ANOVA, single-factor ANOVA, analysis of variance, tek yönlü ANOVA |
| Συναφείς≠ | 6 | 5 | 4 |
| Σύνοψη≠ | 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. | MANOVA is a parametric hypothesis test that simultaneously compares group means across multiple continuous dependent variables, controlling the inflation of Type I error that would result from running separate ANOVAs. Key multivariate test statistics — Wilks' Lambda, Pillai's Trace, Hotelling-Lawley Trace, and Roy's Greatest Root — were developed between the 1930s and 1950s, with Wilks' Lambda formalised by Samuel Stanley Wilks in 1932. | 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. |
| ScholarGateΣύνολο δεδομένων ↗ |
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