Data transformation in biological assays
The analysis of variance is the statistical test most used for comparison of three or more means simultaneously. Its application requires, however, the compliance to some assumptions, with main emphasis on normality of the data and homoscedasticity of variances. When such requirements are not met, o...
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| Format: | Article |
| Language: | English |
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Embrapa Florestas
2021-03-01
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| Series: | Pesquisa Florestal Brasileira |
| Subjects: | |
| Online Access: | https://pfb.cnpf.embrapa.br/pfb/index.php/pfb/article/view/1916 |
| _version_ | 1819280362978672640 |
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| author | Sylvio Péllico Netto Alexandre Behling |
| author_facet | Sylvio Péllico Netto Alexandre Behling |
| author_sort | Sylvio Péllico Netto |
| collection | DOAJ |
| description | The analysis of variance is the statistical test most used for comparison of three or more means simultaneously. Its application requires, however, the compliance to some assumptions, with main emphasis on normality of the data and homoscedasticity of variances. When such requirements are not met, one of the alternatives is the data transformation to enable the continuity of the experimental evaluation. With the proposition of the Tukey’s data transformation system, understood as a power transformation system, i.e. the application of nth root on a data set (X⅟n) this statistical procedure has methodologically evolved to ensure such solutions. In the present research we proposed a complement to this system, denominated here as transformation in four steps, with inclusion of two hypothesis tests to evaluate normality and homoscedasticity. This was applied on experimental data to evaluate the amount of radiation available at soil level within stands of Acacia mearnsii De Wild. We have proposed a model for data transformation to simultaneously obtain homoscedasticity and normality. The methodology was appropriate to ensure these two statistical aspects on the experimental data, allowing comparison of eight treatments by conventional analysis of variance.
Index terms: Analysis of variance, homoscedasticity, normality. |
| first_indexed | 2024-12-24T00:42:36Z |
| format | Article |
| id | doaj.art-7b598bc316a7422b9c585dbd8fceb921 |
| institution | Directory Open Access Journal |
| issn | 1809-3647 1983-2605 |
| language | English |
| last_indexed | 2024-12-24T00:42:36Z |
| publishDate | 2021-03-01 |
| publisher | Embrapa Florestas |
| record_format | Article |
| series | Pesquisa Florestal Brasileira |
| spelling | doaj.art-7b598bc316a7422b9c585dbd8fceb9212022-12-21T17:23:55ZengEmbrapa FlorestasPesquisa Florestal Brasileira1809-36471983-26052021-03-014110.4336/2021.pfb.41e201901916Data transformation in biological assaysSylvio Péllico Netto0Alexandre Behling1Universidade Federal do Paraná, Departamento de Ciências FlorestaisUniversidade Federal do Paraná, Departamento de Ciências FlorestaisThe analysis of variance is the statistical test most used for comparison of three or more means simultaneously. Its application requires, however, the compliance to some assumptions, with main emphasis on normality of the data and homoscedasticity of variances. When such requirements are not met, one of the alternatives is the data transformation to enable the continuity of the experimental evaluation. With the proposition of the Tukey’s data transformation system, understood as a power transformation system, i.e. the application of nth root on a data set (X⅟n) this statistical procedure has methodologically evolved to ensure such solutions. In the present research we proposed a complement to this system, denominated here as transformation in four steps, with inclusion of two hypothesis tests to evaluate normality and homoscedasticity. This was applied on experimental data to evaluate the amount of radiation available at soil level within stands of Acacia mearnsii De Wild. We have proposed a model for data transformation to simultaneously obtain homoscedasticity and normality. The methodology was appropriate to ensure these two statistical aspects on the experimental data, allowing comparison of eight treatments by conventional analysis of variance. Index terms: Analysis of variance, homoscedasticity, normality.https://pfb.cnpf.embrapa.br/pfb/index.php/pfb/article/view/1916Analysis of varianceAcacia mearnsiiRadiation |
| spellingShingle | Sylvio Péllico Netto Alexandre Behling Data transformation in biological assays Pesquisa Florestal Brasileira Analysis of variance Acacia mearnsii Radiation |
| title | Data transformation in biological assays |
| title_full | Data transformation in biological assays |
| title_fullStr | Data transformation in biological assays |
| title_full_unstemmed | Data transformation in biological assays |
| title_short | Data transformation in biological assays |
| title_sort | data transformation in biological assays |
| topic | Analysis of variance Acacia mearnsii Radiation |
| url | https://pfb.cnpf.embrapa.br/pfb/index.php/pfb/article/view/1916 |
| work_keys_str_mv | AT sylviopelliconetto datatransformationinbiologicalassays AT alexandrebehling datatransformationinbiologicalassays |