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การวิเคราะห์ความแปรปรวนร่วม (ANCOVA)×การวิเคราะห์ความแปรปรวนร่วม (Multivariate Analysis of Variance - MANOVA)×การวิเคราะห์ความแปรปรวนทางเดียว×Paired Samples t-test×
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ตระกูลHypothesis testHypothesis testHypothesis testHypothesis test
ปีกำเนิด1932193219251908
ผู้ริเริ่มRonald A. FisherSamuel Stanley Wilks (Wilks' Lambda, 1932); Roy, Hotelling, Pillai (mid-20th c.)Ronald A. FisherStudent (W. S. Gosset)
ประเภทParametric group comparison with covariate controlParametric multivariate mean comparisonParametric mean comparisonParametric mean comparison (paired)
แหล่งต้นตำรับTabachnick, B.G. & Fidell, L.S. (2013). Using Multivariate Statistics (6th ed.). Pearson. ISBN: 978-0205849574Tabachnick, 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
ชื่อเรียกอื่นanalysis of covariance, covariance analysis, ANCOVA (Kovaryans Analizi)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
ที่เกี่ยวข้อง4544
สรุปANCOVA 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).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: ANCOVA · MANOVA · One-way ANOVA · Paired t-test. สืบค้นเมื่อ 2026-06-20 จาก https://scholargate.app/th/compare