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Theil-Sen Estimator×Permutationstest (Randomiseringstest)×
FagområdeStatistikStatistik
FamilieRegression modelRegression model
Oprindelsesår19682005
OphavspersonHenri Theil (1950); P. K. Sen (1968)Good (2005); Edgington & Onghena (2007); resampling tradition
TypeRobust linear regressionNonparametric resampling test
Oprindelig kildeSen, P. K. (1968). Estimates of the Regression Coefficient Based on Kendall's Tau. Journal of the American Statistical Association, 63(324), 1379-1389. DOI ↗Good, P. (2005). Permutation, Parametric and Bootstrap Tests of Hypotheses (3rd ed.). Springer. ISBN: 978-0387202792
AliasserTheil-Sen Tahmincisi, Theil-Sen regression, median slope estimator, Sen's slope estimatorrandomization test, exact permutation test, re-randomization test, Permütasyon Testi
Relaterede65
ResuméThe Theil-Sen estimator is a robust linear regression method that estimates the slope as the median of the slopes computed over all pairs of data points. Introduced by Henri Theil in 1950 and extended by P. K. Sen in 1968, it tolerates outliers in the response with a breakdown point of about 29%.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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