विधियों की तुलना करें
चुनी हुई विधियों की आमने-सामने समीक्षा करें; भिन्नता वाली पंक्तियाँ रेखांकित हैं।
| फिशर एग्जैक्ट रैंडमाइजेशन इन्फेरेंस× | बूटस्ट्रैप अनुमान× | क्वांटाइल रिग्रेशन (गैर-पैरामीट्रिक प्रकार)× | साधारण न्यूनतम वर्ग (OLS) समाश्रयण× | |
|---|---|---|---|---|
| क्षेत्र≠ | सांख्यिकी | सांख्यिकी | सांख्यिकी | अर्थमिति |
| परिवार | Regression model | Regression model | Regression model | Regression model |
| उद्भव वर्ष≠ | 1935 | 1979 | 1978 | 2019 |
| प्रवर्तक≠ | Ronald A. Fisher | Bradley Efron | Koenker & Bassett | Wooldridge (textbook treatment); classical least squares |
| प्रकार≠ | Exact permutation-based inference | Resampling-based inference | Quantile regression (nonparametric variants) | Linear regression |
| मौलिक स्रोत≠ | 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 ↗ | 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 |
| उपनाम | fisher randomization test, permutation inference, exact randomization test, randomizasyon çıkarımı (fisher exact randomization) | bootstrap, bootstrap resampling, nonparametric bootstrap, Bootstrap Çıkarımı | quantile regression, median regression, distribution-free quantile regression, Kantil Regresyon (Nonparametric Varyantlar) | ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu |
| संबंधित | 5 | 5 | 5 | 5 |
| सारांश≠ | 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. | 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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