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ANOVA Robust (Welch & Min Tumas Dipangkas)×Inferens Bootstrap×Regresi Kuasa Dua Terkecil Biasa (OLS)×
BidangStatistikStatistikEkonometrik
KeluargaRegression modelRegression modelRegression model
Tahun asal195119792019
PengasasWelch (1951); robust trimmed-mean approach popularised by WilcoxBradley EfronWooldridge (textbook treatment); classical least squares
JenisRobust one-way analysis of varianceResampling-based inferenceLinear regression
Sumber perintisWelch, B. L. (1951). On the comparison of several mean values: an alternative approach. Biometrika, 38(3/4), 330-336. DOI ↗Efron, B. (1979). Bootstrap Methods: Another Look at the Jackknife. Annals of Statistics, 7(1), 1-26. DOI ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860
AliasWelch ANOVA, trimmed-mean ANOVA, heteroscedastic one-way ANOVA, Robust ANOVA (Welch & Trimmed Mean)bootstrap, bootstrap resampling, nonparametric bootstrap, Bootstrap Çıkarımıordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
Berkaitan555
RingkasanRobust 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.Bootstrap inference, introduced by Bradley Efron in 1979, estimates the sampling distribution of a statistic by repeatedly resampling the observed data with replacement. It requires no distributional assumption and produces reliable confidence intervals even in small samples.Ordinary Least Squares is the classical linear regression method that explains a continuous outcome as a linear combination of predictors. It estimates the coefficients by minimising the sum of squared residuals, and under the Gauss-Markov assumptions these estimates are the best linear unbiased estimator (BLUE).
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ScholarGateBandingkan kaedah: Robust ANOVA · Bootstrap Inference · OLS Regression. Dicapai 2026-06-18 daripada https://scholargate.app/ms/compare