A modified Cucconi Test for Location and Scale Change Alternatives
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| Format: | Artículo científico |
| Langue: | en |
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Universidad Nacional de Colombia
2012
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| _version_ | 1876427287180607488 |
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| author | Marco Marozzi |
| author_facet | Marco Marozzi |
| contents | A modified Cucconi Test for Location and Scale Change Alternatives Marco Marozzi Física, Astronomía y Matemáticas Location Rank tests scale model Combining tests The most common approach to develop a test for jointly detecting locatio and scale changes is to combine a test for location and a test for scale. For the same problem, the test of Cucconi should be considered because it is an alternative to the other tests as it is based on the squares of ranks and contrary-ranks. It has been previously shown that the Cucconi test is robust in level and is more powerful than the Lepage test, which is the most commonly used test for the location-scale problem. A modification of the Cucconi test is proposed. The idea is to modify this test consistently with the familiar approach which develops a location-scale test by combining a test for location and a test for scale. More precisely, we will combine the Cucconi test with the Wilcoxon rank test for location and a modified Levene test following the theory of the nonparametric combination. A power comparison of this modified Cucconi test with the original one, the Lepage test and the Podgor-Gastwirth PG2 test, shows that the modified Cucconi test is robust in size and markedly more powerful than the other tests for every considered type of distributions, from short- to normal- and long-tailed ones. A real data example is discussed. 2012 artículo científico 0120-1751 https://www.redalyc.org/articulo.oa?id=89925367001 en http://www.redalyc.org/revista.oa?id=899 Revista Colombiana de Estadística application/pdf Universidad Nacional de Colombia Revista Colombiana de Estadística (Colombia) Num.3 Vol.35 |
| format | Artículo científico |
| id | redalyc_89925367001 |
| institution | Redalyc |
| language | en |
| publishDate | 2012 |
| publisher | Universidad Nacional de Colombia |
| spellingShingle | A modified Cucconi Test for Location and Scale Change Alternatives Marco Marozzi Física, Astronomía y Matemáticas Location Rank tests scale model Combining tests A modified Cucconi Test for Location and Scale Change Alternatives Marco Marozzi Física, Astronomía y Matemáticas Location Rank tests scale model Combining tests The most common approach to develop a test for jointly detecting locatio and scale changes is to combine a test for location and a test for scale. For the same problem, the test of Cucconi should be considered because it is an alternative to the other tests as it is based on the squares of ranks and contrary-ranks. It has been previously shown that the Cucconi test is robust in level and is more powerful than the Lepage test, which is the most commonly used test for the location-scale problem. A modification of the Cucconi test is proposed. The idea is to modify this test consistently with the familiar approach which develops a location-scale test by combining a test for location and a test for scale. More precisely, we will combine the Cucconi test with the Wilcoxon rank test for location and a modified Levene test following the theory of the nonparametric combination. A power comparison of this modified Cucconi test with the original one, the Lepage test and the Podgor-Gastwirth PG2 test, shows that the modified Cucconi test is robust in size and markedly more powerful than the other tests for every considered type of distributions, from short- to normal- and long-tailed ones. A real data example is discussed. 2012 artículo científico 0120-1751 https://www.redalyc.org/articulo.oa?id=89925367001 en http://www.redalyc.org/revista.oa?id=899 Revista Colombiana de Estadística application/pdf Universidad Nacional de Colombia Revista Colombiana de Estadística (Colombia) Num.3 Vol.35 |
| title | A modified Cucconi Test for Location and Scale Change Alternatives |
| topic | Física, Astronomía y Matemáticas Location Rank tests scale model Combining tests |
| url | https://www.redalyc.org/articulo.oa?id=89925367001 |