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ブートストラップ推論×中央絶対偏差 (MAD) 推定×最小二乗法 (OLS) 回帰×順列検定(ランダム化検定)×
分野統計学統計学計量経済学統計学
系統Regression modelRegression modelRegression modelRegression model
提唱年1979197420192005
提唱者Bradley EfronHampel (influence-curve treatment); classical robust statisticsWooldridge (textbook treatment); classical least squaresGood (2005); Edgington & Onghena (2007); resampling tradition
種類Resampling-based inferenceRobust scale estimatorLinear regressionNonparametric resampling test
原典Efron, B. (1979). Bootstrap Methods: Another Look at the Jackknife. Annals of Statistics, 7(1), 1-26. 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 ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860Good, P. (2005). Permutation, Parametric and Bootstrap Tests of Hypotheses (3rd ed.). Springer. ISBN: 978-0387202792
別名bootstrap, bootstrap resampling, nonparametric bootstrap, Bootstrap Çıkarımımedian absolute deviation, MAD scale estimator, robust scale estimation, Medyan Mutlak Sapma (MAD) Tahminiordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonurandomization test, exact permutation test, re-randomization test, Permütasyon Testi
関連5555
概要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.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.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).The permutation test is a nonparametric resampling procedure that builds the sampling distribution of a test statistic directly from the data by repeatedly shuffling the group labels. Developed in the resampling tradition and treated systematically by Good (2005) and Edgington & Onghena (2007), it requires no parametric distributional assumption and yields an exact p-value.
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ScholarGate手法を比較: Bootstrap Inference · MAD Estimation · OLS Regression · Permutation Test. 2026-06-17に以下より取得 https://scholargate.app/ja/compare