Порівняння методів
Переглядайте обрані методи поруч; рядки з відмінностями підсвічено.
| Точне висновування на основі рандомізації Фішера× | Бутстреп-інференс× | Метод ковзного виключення (Jackknife Resampling)× | Регресія звичайно найменших квадратів (ЗНК)× | |
|---|---|---|---|---|
| Галузь≠ | Статистика | Статистика | Статистика | Економетрика |
| Родина | Regression model | Regression model | Regression model | Regression model |
| Рік появи≠ | 1935 | 1979 | 1956 | 2019 |
| Автор методу≠ | Ronald A. Fisher | Bradley Efron | Quenouille (1956); reviewed by Miller (1974) | Wooldridge (textbook treatment); classical least squares |
| Тип≠ | Exact permutation-based inference | Resampling-based inference | Resampling / bias and variance estimation | Linear regression |
| Основоположне джерело≠ | Fisher, R. A. (1935). The Design of Experiments. Oliver & Boyd. link ↗ | Efron, B. (1979). Bootstrap Methods: Another Look at the Jackknife. Annals of Statistics, 7(1), 1-26. DOI ↗ | Quenouille, M. H. (1956). Notes on Bias in Estimation. Biometrika, 43(3/4), 353-360. DOI ↗ | Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860 |
| Інші назви | fisher randomization test, permutation inference, exact randomization test, randomizasyon çıkarımı (fisher exact randomization) | bootstrap, bootstrap resampling, nonparametric bootstrap, Bootstrap Çıkarımı | leave-one-out resampling, Quenouille-Tukey jackknife, delete-one jackknife, Jackknife Yeniden Örnekleme | ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu |
| Пов'язані | 5 | 5 | 5 | 5 |
| Підсумок≠ | Randomization 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. | 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. | 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. | 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). |
| ScholarGateНабір даних ↗ |
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