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विषम वितरण के लिए समायोजित बॉक्सप्लॉट×माध्यिका निरपेक्ष विचलन (MAD) आकलन×मजबूत एनोवा (वेल्च और ट्रिम्ड मीन)×
क्षेत्रसांख्यिकीसांख्यिकीसांख्यिकी
परिवारRegression modelRegression modelRegression model
उद्भव वर्ष200819741951
प्रवर्तकHubert & VandervierenHampel (influence-curve treatment); classical robust statisticsWelch (1951); robust trimmed-mean approach popularised by Wilcox
प्रकारRobust outlier detection / descriptive visualizationRobust scale estimatorRobust one-way analysis of variance
मौलिक स्रोतHubert, M. & Vandervieren, E. (2008). An Adjusted Boxplot for Skewed Distributions. Computational Statistics & Data Analysis, 52(12), 5186-5201. DOI ↗Hampel, F. R. (1974). The Influence Curve and Its Role in Robust Estimation. Journal of the American Statistical Association, 69(346), 383-393. DOI ↗Welch, B. L. (1951). On the comparison of several mean values: an alternative approach. Biometrika, 38(3/4), 330-336. DOI ↗
उपनामadjusted box plot, medcouple boxplot, skewness-adjusted boxplot, Düzeltilmiş Kutu Grafiği (Adjusted Boxplot)median absolute deviation, MAD scale estimator, robust scale estimation, Medyan Mutlak Sapma (MAD) TahminiWelch ANOVA, trimmed-mean ANOVA, heteroscedastic one-way ANOVA, Robust ANOVA (Welch & Trimmed Mean)
संबंधित555
सारांशThe Adjusted Boxplot is a robust descriptive tool introduced by Hubert and Vandervieren (2008) that corrects the classical IQR-based boxplot for skewness using the medcouple statistic, reducing the false labelling of outliers in asymmetric data.Median Absolute Deviation estimation is a robust measure of statistical dispersion that replaces the standard deviation when outliers are present. Rooted in the influence-curve framework formalised by Hampel (1974), it summarises the spread of a continuous variable using medians instead of means, so a single extreme value cannot distort the result.Robust ANOVA compares the central tendency of three or more groups when the classical assumptions of normality and equal variances fail. It combines Welch's heteroscedasticity-adjusted statistic, introduced by Welch in 1951, with trimmed-mean tests advanced by Wilcox, giving reliable comparisons in the presence of outliers and unequal group spreads.
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