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ロバスト一標本t検定(トリム平均)×符号検定 (Sign Test)×
分野統計学統計学
系統Hypothesis testHypothesis test
提唱年1970s–2000s1946
提唱者Rand R. Wilcox (extending Yuen's trimmed-mean approach)W. J. Dixon & A. M. Mood
種類Robust parametric mean comparisonNonparametric median test
原典Wilcox, R. R. (2012). Introduction to Robust Estimation and Hypothesis Testing (3rd ed.). Academic Press. ISBN: 978-0123869838Dixon, W. J. & Mood, A. M. (1946). The statistical sign test. Journal of the American Statistical Association, 41(236), 557–566. DOI ↗
別名one-sample trimmed mean test, Yuen one-sample test, robust one-sample location test, trimmed mean t-testİşaret Testi (Sign Test), one-sample sign test, paired sign test
関連44
概要The robust one-sample t-test replaces the ordinary mean with a trimmed mean and the sample variance with a Winsorized variance to compare a population location against a hypothesized value. It retains the t-test decision framework while sharply reducing sensitivity to outliers and heavy-tailed distributions, making it reliable in real-world continuous data that deviate from normality.The sign test is the simplest nonparametric hypothesis test for deciding whether the median of paired differences — or of a single sample — differs significantly from a hypothesised value. Formalised by W. J. Dixon and A. M. Mood in 1946, it imposes virtually no distributional assumptions and can be applied to any data where individual differences can be classified as positive or negative.
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ScholarGate手法を比較: Robust one-sample t-test · Sign Test. 2026-06-17に以下より取得 https://scholargate.app/ja/compare