Critical values for six Dixon tests for outliers in normal samples up to sizes 100, and applications in science and engineering
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| Format: | Artículo científico |
| Language: | en |
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Universidad Nacional Autónoma de México
2006
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| author | Surendra P. Verma |
| author_facet | Surendra P. Verma |
| contents | Critical values for six Dixon tests 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 normal sample Outlier methods earth sciences reference materials Monte Carlo simulations In this paper we report the simulation procedure along with new, precise, and accurate criticalvalues or percentage points (with 4 decimal places; standard error of the mean ≤0.0001) for six Dixondiscordance tests with signifi cance levels α = 0.30, 0.20, 0.10, 0.05, 0.02, 0.01, 0.005 and for normalsamples of sizes n up to 100. Prior to our work, critical values (with 3 decimal places) were available onlyfor n up to 30, which limited the application of Dixon tests in many scientifi c and engineering fi elds. Withthese new tables of more precise and accurate critical values, the applicability of these discordance tests(N7 and N9-N13) is now extended to 100 observations of a particular variable in a statistical sample. Wegive examples of applications in many diverse fi elds of science and engineering including geosciences,which illustrate the advantage of the availability of these new critical values for a wider application ofthese six discordance tests. Statistically more reliable applications in science and engineering to a greaternumber of cases can now be achieved with our new tables than was possible earlier. Thus, we envisionthat these new critical values will result in wider applications of the Dixon tests in a variety of scientifi cand engineering fi elds such as agriculture, astronomy, biology, biomedicine, biotechnology, chemistry,environmental and pollution research, food science and technology, geochemistry, geochronology,isotope geology, meteorology, nuclear science, paleontology, petroleum research, quality assurance andassessment programs, soil science, structural geology, water research, and zoology. 2006 artículo científico 1026-8774 https://www.redalyc.org/articulo.oa?id=57230203 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.2 Vol.23 |
| format | Artículo científico |
| id | redalyc_57230203 |
| institution | Redalyc |
| language | en |
| publishDate | 2006 |
| publisher | Universidad Nacional Autónoma de México |
| spellingShingle | Critical values for six Dixon tests for outliers in normal samples up to sizes 100, and applications in science and engineering Surendra P. Verma Ciencias de la Tierra normal sample Outlier methods earth sciences reference materials Monte Carlo simulations Critical values for six Dixon tests 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 normal sample Outlier methods earth sciences reference materials Monte Carlo simulations In this paper we report the simulation procedure along with new, precise, and accurate criticalvalues or percentage points (with 4 decimal places; standard error of the mean ≤0.0001) for six Dixondiscordance tests with signifi cance levels α = 0.30, 0.20, 0.10, 0.05, 0.02, 0.01, 0.005 and for normalsamples of sizes n up to 100. Prior to our work, critical values (with 3 decimal places) were available onlyfor n up to 30, which limited the application of Dixon tests in many scientifi c and engineering fi elds. Withthese new tables of more precise and accurate critical values, the applicability of these discordance tests(N7 and N9-N13) is now extended to 100 observations of a particular variable in a statistical sample. Wegive examples of applications in many diverse fi elds of science and engineering including geosciences,which illustrate the advantage of the availability of these new critical values for a wider application ofthese six discordance tests. Statistically more reliable applications in science and engineering to a greaternumber of cases can now be achieved with our new tables than was possible earlier. Thus, we envisionthat these new critical values will result in wider applications of the Dixon tests in a variety of scientifi cand engineering fi elds such as agriculture, astronomy, biology, biomedicine, biotechnology, chemistry,environmental and pollution research, food science and technology, geochemistry, geochronology,isotope geology, meteorology, nuclear science, paleontology, petroleum research, quality assurance andassessment programs, soil science, structural geology, water research, and zoology. 2006 artículo científico 1026-8774 https://www.redalyc.org/articulo.oa?id=57230203 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.2 Vol.23 |
| title | Critical values for six Dixon tests for outliers in normal samples up to sizes 100, and applications in science and engineering |
| topic | Ciencias de la Tierra normal sample Outlier methods earth sciences reference materials Monte Carlo simulations |
| url | https://www.redalyc.org/articulo.oa?id=57230203 |