Linganisha mbinu
Pitia mbinu ulizochagua bega kwa bega; safu zinazotofautiana zinaangaziwa.
| ANOVA ya Mchanganyiko× | Uchanganuzi wa Vigezo Nyingi wa Kawaida (MANOVA)× | Mtihani wa t wa Sampuli Zilizooana× | |
|---|---|---|---|
| Nyanja | Takwimu | Takwimu | Takwimu |
| Familia | Hypothesis test | Hypothesis test | Hypothesis test |
| Mwaka wa asili≠ | 1925 | 1932 | 1908 |
| Mwanzilishi≠ | R. A. Fisher (ANOVA framework); split-plot design formalised in agricultural experimentation | Samuel Stanley Wilks (Wilks' Lambda, 1932); Roy, Hotelling, Pillai (mid-20th c.) | Student (W. S. Gosset) |
| Aina≠ | Parametric factorial ANOVA | Parametric multivariate mean comparison | Parametric mean comparison (paired) |
| Chanzo asilia≠ | 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 | Field, A. (2013). Discovering Statistics Using IBM SPSS Statistics (4th ed.). SAGE. ISBN: 978-1446249185 |
| Majina mbadala≠ | split-plot ANOVA, mixed-design ANOVA, between-within ANOVA, Karma ANOVA (Mixed ANOVA — Gruplar Arası × Tekrarlı) | Multivariate ANOVA, Çok Değişkenli ANOVA (MANOVA) | dependent samples t-test, repeated measures t-test, matched-pairs t-test, eşleştirilmiş örneklem t-testi |
| Zinazohusiana≠ | 6 | 5 | 4 |
| Muhtasari≠ | 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. | The paired samples t-test is a parametric hypothesis test that compares two measurements taken on the same subjects — such as a before and after reading — to decide whether the average change differs from zero. It rests on the t-distribution introduced by Student (W. S. Gosset) in 1908 and works on the within-subject difference scores rather than the raw measurements. |
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