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Hotelling's T² Test×تحلیل واریانس یک‌طرفه×
حوزهآمارآمار
خانوادهHypothesis testHypothesis test
سال پیدایش19311925
پدیدآورHarold HotellingRonald A. Fisher
نوعMultivariate parametric mean comparisonParametric mean comparison
منبع بنیادینHotelling, H. (1931). The Generalization of Student's Ratio. Annals of Mathematical Statistics, 2(3), 360–378. link ↗Fisher, R. A. (1925). Statistical Methods for Research Workers. Edinburgh: Oliver and Boyd. link ↗
نام‌های دیگرHotelling T² Testi — Çok Değişkenli t-Testi, multivariate t-test, Hotelling T-squaredone-factor ANOVA, single-factor ANOVA, analysis of variance, tek yönlü ANOVA
مرتبط64
خلاصهHotelling's T² test is a multivariate parametric hypothesis test that simultaneously compares the mean vectors of two independent groups across multiple continuous outcome variables. It was introduced by Harold Hotelling in 1931 as the direct multivariate generalization of Student's t-test, replacing the scalar mean difference with a vector difference scaled by the pooled variance-covariance matrix.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.
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