Article
| Title: | Jak Frank Wilcoxon pomohl statistikům objevit neparametrické testy II (Czech) |
| Title: | How Frank Wilcoxon helped statisticians discover non-parametric tests II (English) |
| Author: | Emanovský, Petr |
| Language: | Czech |
| Journal: | Učitel matematiky |
| ISSN: | 1210-9037 |
| Volume: | 32 |
| Issue: | 3 |
| Year: | 2024 |
| Pages: | 129-139 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | Mezi často používané neparametrické testy statistické významnosti patří Wicoxonovy testy. Autorem matematického modelu, na kterém jsou tyto testy založeny, je americký statistik Frank Wilcoxon (1892–1965). Článek popisuje podstatu a vznik těchto testů, zejména Wilcoxonova dvouvýběrového testu, v matematickém a historickém kontextu. (Czech) |
| Summary: | One of the frequently used nonparametric tests of statistical significance are Wilcoxon tests. The author of the mathematical model on which these tests are based is the American statistician Frank Wilcoxon (1892–1965). The article describes the essence and origin of these tests, especially Wilcoxon rank sum test, in mathematical and historical context. (English) |
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| Date available: | 2024-12-13T18:52:27Z |
| Last updated: | 2024-12-16 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/152658 |
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| Reference: | [2] Blatná, D.: Neparametrické metody.(1996). VŠE. |
| Reference: | [3] Bradley, R. A.: Obituary: Frank Wilcoxon.(1967). Biometrics, 22(1), 192–194. |
| Reference: | [4] Borja, M. C., Stander, J.: How Frank Wilcoxon helped statisticians walk the non-parametric path.(2016). Significance, 13(6). |
| Reference: | [5] Carine A. B., Marilyse J., James A. H.: Normal approximations to the distributions of the Wilcoxon statistics: Accurate to what N? Graphical Insights.(2010). Journal of Statistics Education, 18(2). https://doi.org/10.1080/10691898.2010.11889486 10.1080/10691898.2010.11889486 |
| Reference: | [6] Emanovský, P.: Jak Frank Wilcoxon pomohl statistikům objevit neparametrické testy.(2023). Učitel matematiky, 31(3), 164-177. |
| Reference: | [7] Hendl, J.: Přehled statistických metod - zpracování dat.(2004). Portál. |
| Reference: | [8] Lehmann, E.: Nonparametrics-Statistical methods based on ranks.(1998). (Revised First Edition). Holden-Day Inc. MR 0395032 |
| Reference: | [9] Mann, H. B., Whitney, D. R.: On a test of whether one of two random variables is stochactically larger than the other.(1947). Annals of Mathematical Statistics, 18, 50-60. http://dx.doi.org/10.1214/aoms/1177730491 MR 0022058, 10.1214/aoms/1177730491 |
| Reference: | [10] McCornack, R. L.: Extended tables of the Wilcoxon matched pair signed rank statistic.(1965). Journal of the American Statistical Association, 60, 864-871. https://doi.org/10.1080/01621459.1965.10480835 MR 0185714, 10.1080/01621459.1965.10480835 |
| Reference: | [11] Papica, J.: Neparametrická statistika.(1992). Filozofická fakulta UP. |
| Reference: | [12] Wilcoxon, F.: Individual comparisons by ranking methods.(1945). Biometrics Bulletin, 1(6), 80-83. https://doi.org/10.2307/3001968 MR 0025133, 10.2307/3001968 |
| Reference: | [13] Wilcoxon, F., Katti, S. K., Wilcox R.: Critical values and probability levels for the Wilcoxon rank sum test and the Wilcoxon signed rank test.(1963). American Cyanamid. |
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