Title:
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Jak Frank Wilcoxon pomohl statistikům objevit neparametrické testy (Czech) |
Title:
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How Frank Wilcoxon helped statisticians to discover non-parametric tests (English) |
Author:
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Emanovský, Petr |
Language:
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Czech |
Journal:
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Učitel matematiky |
ISSN:
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1210-9037 |
Volume:
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31 |
Issue:
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3 |
Year:
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2023 |
Pages:
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164-177 |
Summary lang:
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English |
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Category:
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math |
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Summary:
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Mezi často používané neparametrické testy statistické významnosti patří Wilcoxonovy 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 párového testu, v matematickém a historickém kontextu. (Czech) |
Summary:
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Wilcoxon tests belong among the frequently used nonparametric tests of statistical significance. 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 signed-rank test, in mathematical and historical contexts. (English) |
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Date available:
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2024-01-11T11:45:05Z |
Last updated:
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2024-10-04 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/152010 |
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Reference:
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[1] Anděl, J.: Statistické metody.(2007). Matfyzpress. |
Reference:
|
[2] Arbuthnot, J.: An argument for divine providence, taken from the constant regularity observed in the births of both sexes.(1710). Philosophical Transactions of the Royal Society, 27, 186-190. http://www.jstor.org/stable/103111. 10.1098/rstl.1710.0011 |
Reference:
|
[3] Blatná, D.: Neparametrické metody.(1996). VŠE. |
Reference:
|
[4] Borja, M. C., Stander, J.: How Frank Wilcoxon helped statisticians walk the non-parametric path.(2016). Significance, 13(6). |
Reference:
|
[5] Bellera, C. A., Julien, M., Hanley, J. A.: 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.: První statistické testování hypotézy podle Johna Arbuthnota.(2021). Učitel matematiky, 29(1), 26-36. |
Reference:
|
[7] Emanovský, P.: Jak pivovarský sládek způsobil revoluci ve statistice.(2022a). Učitel matematiky, 29(2), 96-110. |
Reference:
|
[8] Emanovský, P.: Statistické testování hypotéz třikrát jinak.(2022b). Učitel matematiky, 30(1), 3-14. |
Reference:
|
[9] Fienberg, S. E.: A brief history of statistics in three and one-half chapters: A review essay.(1992). Statistical Science, 7(2), 208-225. MR 1179648, 10.1214/ss/1177011360 |
Reference:
|
[10] Fisher, R. A.: Statistical methods for research workers.(1934). Paternoster Row. MR 0346954 |
Reference:
|
[11] Hendl, J.: Přehled statistických metod - zpracování dat.(2004). Portál. |
Reference:
|
[12] Lehmann, E.: Nonparametrics-statistical methods based on ranks.(1998). (Revised First Edition). Holden-Day Inc. MR 0395032 |
Reference:
|
[13] McCornack, R. L.: Extended Tables of the Wilcoxon Matched Pair Signed Rank Statistic.(1965). Journal of the American Statistical Association, 60, 864-871. MR 0185714, 10.1080/01621459.1965.10480835 |
Reference:
|
[14] Papica, J.: Neparametrická statistika.(1992). VUP. |
Reference:
|
[15] Siegel, S.: Nonparametric statistics.(1957). The American Statistician, 11(3), 13-19. MR 0089562 |
Reference:
|
[16] Škaloudová, A.: Statistika v pedagogickém a psychologickém výzkumu.(1998). PedF UK. |
Reference:
|
[17] Wilcoxon, F.: Individual Comparisons by Ranking Methods.(1945). Biometrics Bulletin, 1(6), 80-83. MR 0025133, 10.2307/3001968 |
Reference:
|
[18] Wilcoxon, F.: Probability Tables for Individual Comparisons by Ranking Methods.(1947). Biometrics, 3(3), 119-122. MR 0025133, 10.2307/3001946 |
Reference:
|
[19] 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). Pearl River, American Cyanamid Co. and Florida State University. |
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