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क्षेत्रसांख्यिकीसांख्यिकीसांख्यिकी
परिवारHypothesis testHypothesis testHypothesis test
उद्भव वर्ष200019611925
प्रवर्तकRosenthal, Rosnow & Rubin (modern formalization)Carlo Emilio Bonferroni; formalized for multiple comparisons by Olive Jean DunnRonald A. Fisher
प्रकारParametric planned comparisonFamily-wise error rate (FWER) correctionParametric mean comparison
मौलिक स्रोतRosenthal, R., Rosnow, R. L. & Rubin, D. B. (2000). Contrasts and Effect Sizes in Behavioral Research: A Correlational Approach. Cambridge University Press. ISBN: 978-0521659802Bonferroni, C. E. (1936). Teoria statistica delle classi e calcolo delle probabilità. Pubblicazioni del R Istituto Superiore di Scienze Economiche e Commerciali di Firenze, 8, 3–62. link ↗Fisher, R. A. (1925). Statistical Methods for Research Workers. Edinburgh: Oliver and Boyd. link ↗
उपनामplanned comparisons, planned contrasts, a priori contrasts, Kontrast Analizi — Planlanmış KarşılaştırmalarBonferroni adjustment, Bonferroni method, Bonferroni procedure, FWER correctionone-factor ANOVA, single-factor ANOVA, analysis of variance, tek yönlü ANOVA
संबंधित254
सारांशPlanned contrast analysis is a parametric hypothesis-testing method that evaluates specific, theoretically motivated comparisons among group means — comparisons that the researcher specifies before data collection, not in response to observed patterns. Formalized comprehensively by Rosenthal, Rosnow, and Rubin (2000), the approach assigns a set of contrast coefficients to the groups being compared, with the constraint that the coefficients sum to zero, and then tests whether the resulting weighted combination of means differs significantly from zero.The Bonferroni correction is a conservative, universally applicable method for controlling the family-wise error rate (FWER) when conducting multiple simultaneous hypothesis tests. Grounded in Bonferroni's 1936 probability inequality and formalized for multiple comparisons by Olive Jean Dunn in 1961, the procedure divides the target significance level α by the number of tests m, ensuring that the probability of making even one false rejection across the entire family of tests does not exceed α.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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