In statistics, the Lepage test is an exact distribution-free test (nonparametric test) for jointly monitoring the location (central tendency) and scale (variability) in two-sample treatment versus control comparisons. It is a rank test for the two-sample location-scale problem. The Lepage test statistic is the squared Euclidean distance of the standardized Wilcoxon rank-sum test for location and the standardized Ansari–Bradley test for scale. The Lepage test was first introduced by Yves Lepage in 1971 in a paper in Biometrika.[1] A large number of Lepage-type tests exists in statistical literature for simultaneously testing location and scale shifts in case-control studies. The details may be found in the book: Nonparametric statistical tests: A computational approach.[2] Wolfgang Kössler[3] in 2006 also introduced various Lepage type tests using some alternative score functions optimal for various distributions. Amitava Mukherjee and Marco Marozzi introduced a class of percentile modified versions of the Lepage test.[4] An alternative to the Lepage-type tests is known as the Cucconi test proposed by Odoardo Cucconi in 1968.[5]
^Lepage, Yves (April 1971). "A Combination of Wilcoxon's and Ansari-Bradley's Statistics". Biometrika. 58 (1): 213–217. doi:10.2307/2334333. ISSN 0006-3444. JSTOR 2334333.
^Neuhäuser, Markus (2011-12-19). Nonparametric Statistical Tests. Chapman and Hall/CRC. doi:10.1201/b11427. ISBN 9781439867037.
^Kössler, W. (Wolfgang) (2006). Asymptotic power and efficiency of lepage-type tests for the treatment of combined location-scale alternatives. Humboldt-Universität zu Berlin. doi:10.18452/2462. hdl:18452/3114. OCLC 243600853.
^Mukherjee, Amitava; Marozzi, Marco (2019-08-01). "A class of percentile modified Lepage-type tests". Metrika. 82 (6): 657–689. doi:10.1007/s00184-018-0700-1. ISSN 1435-926X.
^Cucconi, Odoardo (1968). "Un Nuovo Test non Parametrico per Il Confronto Fra Due Gruppi di Valori Campionari". Giornale Degli Economisti e Annali di Economia. 27 (3/4): 225–248. JSTOR 23241361.
In statistics, the Lepagetest is an exact distribution-free test (nonparametric test) for jointly monitoring the location (central tendency) and scale...
two samples. Many rank tests have been proposed for the two-sample location-scale problem. Nearly all of them are Lepage-type tests, that is a combination...
Rank testLepagetest Original references: Fisher, R.A. (1935) The Design of Experiments, New York: Hafner Pitman, E. J. G. (1937) "Significance tests which...
stem cell research. In February 2024, the Alabama Supreme Court ruled in LePage v. Center for Reproductive Medicine that cryopreserved embryos were "persons"...
Corinne Dominique Marguerite Lepage (born 11 May 1951) is a French politician. She served as French Minister of the Environment in the Alain Juppé cabinets...
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World War II (1995 ed.). New York: Military Press. p. 318. ISBN 0517679647. LePage 2009, p. 283. Dorr 2013, p. 45. Dorr 2013, p. 46. Dorr 2013, p. 44. Dorr...
[page needed]. Bauduin 2014, p. 66. Davies 1980, p. 572. Christopher 2013, p. 59. LePage 2009, p. 183. Dorr 2013, p. 54. Christopher 2013, p. 60. Dorr 2013, p. 61...
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the Fifties. Cambridge, UK: Patrick Stephens Limited. ISBN 0-85059-463-4. Lepage, Jean-Denis G.G. (2009). Aircraft of the Luftwaffe, 1935-1945: An Illustrated...
Germany Lepage 2009, p. 222. Nowarra, Heinz J. (1993). Die Deutsche Luftrüstung 1933-1945, Band 3. Germany: Bernard & Graefe. pp. 243–244. Lepage 2009,...
archived from the original on 16 January 2001, retrieved 26 September 2006 LePage, Andrew J. (1997), "Sputnik 2: The First Animal in Orbit", archived from...
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military aircraft of Germany List of World War II military aircraft of Germany Lepage 2009, p. 220. Matthews 2001, p. 45. Green 1960, p. 160. Green 1960, p. 161...
Uziel 2011, pp. 240–243. Christopher 2013, p. 145. LePage 2009, p. 38. Forsyth 2016, pp. 8-9. LePage 2009, p. 244. Dorr 2013, p. 152. Forsyth 2016, p....
2013. Retrieved June 16, 2012. Whitburn, Joel. Top Pop Albums (2001): 578 Lepage, Mark (October 31, 2009). "Metal metamorphosis". Ottawa Citizen. Archived...
Sharp 2020, p. 78. Ford 2013, p. 224. LePage 2009, p. 258. Wood & Ford, pp. 41-42. Wood & Ford, p. 30. LePage 2009, p. 259. Sharp 2020, p. 100. Sharp...
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