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| Format: | Artículo científico |
| Language: | en |
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Universidad Nacional Autónoma de México
2006
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| Online Access: | https://www.redalyc.org/articulo.oa?id=57223305 |
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Table of Contents:
- Critical values for 22 discordancy test variants for outliers in normal samples up to sizes 100, and applications in science and engineering Surendra P. Verma Alfredo Quiroz Ruiz Ciencias de la Tierra 2s test Dixon Q skewness kurtosis In this paper, the modifi cations of the simulation procedure as well as new, precise, and accuratecritical values or percentage points (for the majority of data with four decimal places; respective averagestandard error of the mean ~0.00010.0025) of nine discordancy tests, with 22 test variants, and each withseven signifi cance levels α = 0.30, 0.20, 0.10, 0.05, 0.02, 0.01, and 0.005, for normal samples of sizes nup to 100 are reported. Prior to our work, only less precise critical values were available for most of thesetests, viz., with one (for n <20) and three decimal places (for greater n) for test N14; two decimal placesfor tests N2, N3k=2,3,4, N6, and N15; and three decimal places for N1, N4k=3,4, N5, and N8; but allof them with unknown errors. In fact, the critical values were available for n only up to 20 for test N2, upto 30 for test N8, and up to 50 for N4k=1,3,4, whereas for most other tests, in spite of the availabilityfor n up to 100 (or more), interpolations were required because tabulated values were not reported forall n in the range 3100. Therefore, the applicability of these discordancy tests is now extended up to 100observations of a particular parameter in a statistical sample, without any need of interpolations. The newmore precise and accurate critical values will result in a more reliable application of these discordancytests than has so far been possible. Thus, we envision that these new critical values will result in widerapplications of these tests in a variety of scientifi c and engineering fi elds such as agriculture, astronomy,biology, biomedicine, biotechnology, chemistry, electronics, environmental and pollution research, foodscience and technology, geochemistry, geochronology, isotope geology, meteorology, nuclear science,paleontology, petroleum research, quality assurance and assessment programs, soil science, structuralgeology, water research, and zoology. The multiple-test method with new critical values proposed in thiswork was shown to perform better than the box-and-whisker plot method used by some researchers. Finally,the so-called two standard deviation method frequently used for processing inter-laboratory databaseswas shown to be statistically-erroneous, and should therefore be abandoned. Instead, the multiple-testmethod with 15 tests and 33 test variants, all of which now readily applicable to sample sizes up to 100,should be used. To process inter-laboratory databases, our present approach of multiple-test method isalso shown to perform better than the two standard deviation method. 2006 artículo científico 1026-8774 https://www.redalyc.org/articulo.oa?id=57223305 en http://www.redalyc.org/revista.oa?id=572 Revista Mexicana de Ciencias Geológicas application/pdf Universidad Nacional Autónoma de México Revista Mexicana de Ciencias Geológicas (México) Num.3 Vol.23