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Mixed ANOVA×การวิเคราะห์ความแปรปรวนร่วม (Multivariate Analysis of Variance - MANOVA)×การวิเคราะห์ความแปรปรวนทางเดียว×Paired Samples t-test×
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ตระกูลHypothesis testHypothesis testHypothesis testHypothesis test
ปีกำเนิด1925193219251908
ผู้ริเริ่มR. A. Fisher (ANOVA framework); split-plot design formalised in agricultural experimentationSamuel Stanley Wilks (Wilks' Lambda, 1932); Roy, Hotelling, Pillai (mid-20th c.)Ronald A. FisherStudent (W. S. Gosset)
ประเภทParametric factorial ANOVAParametric multivariate mean comparisonParametric mean comparisonParametric mean comparison (paired)
แหล่งต้นตำรับField, A. (2018). Discovering Statistics Using IBM SPSS Statistics (5th ed.). SAGE. ISBN: 978-1526419521Tabachnick, B.G. & Fidell, L.S. (2013). Using Multivariate Statistics (6th ed.). Pearson. ISBN: 978-0205849574Fisher, R. A. (1925). Statistical Methods for Research Workers. Edinburgh: Oliver and Boyd. link ↗Field, A. (2013). Discovering Statistics Using IBM SPSS Statistics (4th ed.). SAGE. ISBN: 978-1446249185
ชื่อเรียกอื่นsplit-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 ANOVAdependent samples t-test, repeated measures t-test, matched-pairs t-test, eşleştirilmiş örneklem t-testi
ที่เกี่ยวข้อง6544
สรุปMixed 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.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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ScholarGateเปรียบเทียบวิธี: Mixed ANOVA · MANOVA · One-way ANOVA · Paired t-test. สืบค้นเมื่อ 2026-06-20 จาก https://scholargate.app/th/compare