Modification of ANOVA with various types of means
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Institute of Engineering Mathematics, Universiti Malaysia Perlis
2020
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my.unimap-637452020-01-07T09:22:11Z Modification of ANOVA with various types of means Nur Farah Najeeha, Najdi Nor Aishah, Ahad nfarahnajeeha@gmail.com ANOVA Geometric mean Harmonic mean Trimean Trimmed mean Type I Error Link to publisher's homepage at https://amci.unimap.edu.my/ In calculating mean equality for two or more groups, Analysis of Variance (ANOVA) is a popular method. Following the normality assumption, ANOVA is a robust test. A modification to ANOVA is proposed to test the equality of population means. The suggested research statistics are straightforward and are compatible with the generic ANOVA statistics whereby the classical mean is supplemented by other robust means such as geometric mean, harmonic mean, trimean and also trimmed mean. The performance of the modified ANOVAs is then compared in terms of the Type I error in the simulation study. The modified ANOVAs are then applied on real data. The performance of the modified ANOVAs is then compared with the classical ANOVA test in terms of Type I error rate. This innovation enhances the ability of modified ANOVAs to provide good control of Type I error rates. In general, the results were in favor of the modified ANOVAs especially ANOVAT and ANOVATM. 2020-01-07T09:22:11Z 2020-01-07T09:22:11Z 2019-12 Article Applied Mathematics and Computational Intelligence (AMCI), vol.8(1), 2019, pages 77-88 2289-1315 (print) 2289-1323 (online) http://dspace.unimap.edu.my:80/xmlui/handle/123456789/63745 https://amci.unimap.edu.my/ en Institute of Engineering Mathematics, Universiti Malaysia Perlis |
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ANOVA Geometric mean Harmonic mean Trimean Trimmed mean Type I Error |
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ANOVA Geometric mean Harmonic mean Trimean Trimmed mean Type I Error Nur Farah Najeeha, Najdi Nor Aishah, Ahad Modification of ANOVA with various types of means |
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Link to publisher's homepage at https://amci.unimap.edu.my/ |
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nfarahnajeeha@gmail.com |
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nfarahnajeeha@gmail.com Nur Farah Najeeha, Najdi Nor Aishah, Ahad |
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Article |
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Nur Farah Najeeha, Najdi Nor Aishah, Ahad |
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Nur Farah Najeeha, Najdi |
title |
Modification of ANOVA with various types of means |
title_short |
Modification of ANOVA with various types of means |
title_full |
Modification of ANOVA with various types of means |
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Modification of ANOVA with various types of means |
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Modification of ANOVA with various types of means |
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modification of anova with various types of means |
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Institute of Engineering Mathematics, Universiti Malaysia Perlis |
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2020 |
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http://dspace.unimap.edu.my:80/xmlui/handle/123456789/63745 |
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1670805819432632320 |
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13.19449 |