On non-parametric and generalized tests for the two-sample problem with location and scale change alternatives
| العنوان: | On non-parametric and generalized tests for the two-sample problem with location and scale change alternatives |
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| المؤلفون: | Marvin J. Podgor, Joseph L. Gastwirth |
| المصدر: | Statistics in Medicine. 13:747-758 |
| بيانات النشر: | Wiley, 1994. |
| سنة النشر: | 1994 |
| مصطلحات موضوعية: | Statistics and Probability, Clinical Trials as Topic, Models, Statistical, Epidemiology, Normal Distribution, Nonparametric statistics, Regression analysis, Scale (descriptive set theory), Type (model theory), Normal distribution, Nominal size, Treatment Outcome, Diabetic Neuropathies, Robustness (computer science), Simple (abstract algebra), Data Interpretation, Statistical, Statistics, Humans, Regression Analysis, Computer Simulation, Pain Measurement, Mathematics |
| الوصف: | Various tests have been proposed for the two-sample problem when the alternative is more general than a simple shift in location: non-parametric tests; O'Brien's generalized t and rank sum tests; and other tests related to the t. We show that the generalized tests are directly related to non-parametric tests proposed by Lepage. As a result, we obtain a wider, more flexible class of O'Brien-type procedures which inherit the level robustness property of non-parametric tests. We have also computed the tests' empirical sizes and powers under several models. The non-parametric procedures and the related O'Brien-type tests are valid and yield good power in the settings investigated. They are preferable to the t-test and related procedures whose type I errors differ noticeably from nominal size for skewed and long-tailed distributions. |
| تدمد: | 1097-0258 0277-6715 |
| DOI: | 10.1002/sim.4780130535 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::15eda5c83007aa0a03bdd6d8f9850ef7 https://doi.org/10.1002/sim.4780130535 |
| Rights: | CLOSED |
| رقم الانضمام: | edsair.doi.dedup.....15eda5c83007aa0a03bdd6d8f9850ef7 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 10970258 02776715 |
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| DOI: | 10.1002/sim.4780130535 |