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稳健 Wilcoxon 符号秩检验×符号检验×
领域统计学统计学
方法族Hypothesis testHypothesis test
起源年份1945 (original); robust extensions 1990s–2000s1946
提出者Frank Wilcoxon (original); Rand R. Wilcox (robust extensions)W. J. Dixon & A. M. Mood
类型Robust nonparametric paired difference testNonparametric median test
开创性文献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 ↗
别名robust signed-rank test, robust nonparametric paired test, outlier-resistant Wilcoxon test, robust WSR testİşaret Testi (Sign Test), one-sample sign test, paired sign test
相关54
摘要The robust Wilcoxon signed-rank test extends the classical Wilcoxon signed-rank test by incorporating outlier-resistant location measures or robust preprocessing steps, improving inference on paired data when extreme observations or heavy-tailed distributions threaten validity of standard rank-based conclusions.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方法对比: Robust Wilcoxon signed-rank test · Sign Test. 于 2026-06-19 检索自 https://scholargate.app/zh/compare