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Modification of ANOVA with various types of means

Link to publisher's homepage at https://amci.unimap.edu.my/

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Main Authors: Nur Farah Najeeha, Najdi, Nor Aishah, Ahad
Other Authors: nfarahnajeeha@gmail.com
Format: Article
Language:English
Published: Institute of Engineering Mathematics, Universiti Malaysia Perlis 2020
Subjects:
ANOVA
Geometric mean
Harmonic mean
Trimean
Trimmed mean
Type I Error
Online Access:http://dspace.unimap.edu.my:80/xmlui/handle/123456789/63745
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spelling 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
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider http://dspace.unimap.edu.my/
language English
topic ANOVA
Geometric mean
Harmonic mean
Trimean
Trimmed mean
Type I Error
spellingShingle 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
description Link to publisher's homepage at https://amci.unimap.edu.my/
author2 nfarahnajeeha@gmail.com
author_facet nfarahnajeeha@gmail.com
Nur Farah Najeeha, Najdi
Nor Aishah, Ahad
format Article
author Nur Farah Najeeha, Najdi
Nor Aishah, Ahad
author_sort 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
title_fullStr Modification of ANOVA with various types of means
title_full_unstemmed Modification of ANOVA with various types of means
title_sort modification of anova with various types of means
publisher Institute of Engineering Mathematics, Universiti Malaysia Perlis
publishDate 2020
url http://dspace.unimap.edu.my:80/xmlui/handle/123456789/63745
_version_ 1670805819432632320
score 13.19449

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