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Fishers exakte Randomisierungsinferenz×Jackknife-Resampling×Quantilregression (nichtparametrische Varianten)×Methode der kleinsten Quadrate (OLS)×
FachgebietStatistikStatistikStatistikÖkonometrie
FamilieRegression modelRegression modelRegression modelRegression model
Entstehungsjahr1935195619782019
UrheberRonald A. FisherQuenouille (1956); reviewed by Miller (1974)Koenker & BassettWooldridge (textbook treatment); classical least squares
TypExact permutation-based inferenceResampling / bias and variance estimationQuantile regression (nonparametric variants)Linear regression
Wegweisende QuelleFisher, R. A. (1935). The Design of Experiments. Oliver & Boyd. link ↗Quenouille, M. H. (1956). Notes on Bias in Estimation. Biometrika, 43(3/4), 353-360. DOI ↗Koenker, R. & Bassett, G. (1978). Regression Quantiles. Econometrica, 46(1), 33-50. DOI ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860
Aliasnamenfisher randomization test, permutation inference, exact randomization test, randomizasyon çıkarımı (fisher exact randomization)leave-one-out resampling, Quenouille-Tukey jackknife, delete-one jackknife, Jackknife Yeniden Örneklemequantile regression, median regression, distribution-free quantile regression, Kantil Regresyon (Nonparametric Varyantlar)ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
Verwandt5555
ZusammenfassungRandomization inference, introduced by Ronald A. Fisher in The Design of Experiments (1935), computes an exact p-value by evaluating a test statistic across all possible treatment assignments under Fisher's sharp null hypothesis. It is regarded as the gold standard for analysing designed experiments because its validity rests on the known assignment mechanism rather than on distributional assumptions.The jackknife is a classical resampling method that estimates the bias and variance of a statistic by systematically recomputing it with one observation left out at a time. Introduced by Quenouille in 1956 and later reviewed by Miller in 1974, it predates the bootstrap and remains a simple, deterministic tool for assessing estimator stability.Quantile regression, introduced by Koenker and Bassett in 1978, models a chosen conditional quantile (such as the median or the 25th and 75th percentiles) of a continuous outcome rather than its mean. Its nonparametric variants fit these quantile relationships without assuming a distribution for the errors, making them a robust complement to mean-based regression on skewed data.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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ScholarGateMethoden vergleichen: Randomization Inference · Jackknife · Nonparametric Quantile Regression · OLS Regression. Abgerufen am 2026-06-17 von https://scholargate.app/de/compare