دورية أكاديمية
Type I error in multiple comparison tests in analysis of variance
| العنوان: | Type I error in multiple comparison tests in analysis of variance |
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| المؤلفون: | Josiane Rodrigues, Sonia Maria De Stefano Piedade, Idemauro Antonio Rodrigues de Lara, Francisco Humberto Henrique |
| المصدر: | Acta Scientiarum: Agronomy, Vol 45, Iss 1 (2022) |
| بيانات النشر: | Eduem (Editora da Universidade Estadual de Maringá), 2022. |
| سنة النشر: | 2022 |
| المجموعة: | LCC:Agriculture (General) |
| مصطلحات موضوعية: | comparison-wise error rate, experiment-wise error rate, means tests, Monte Carlo simulation., Agriculture (General), S1-972 |
| الوصف: | In a hypothesis test, a researcher initially fixes a type I error rate, that is, the probability of rejecting the null hypothesis given that it is true. In the case of means tests, it is important to present a type I error that is equal to the nominal pre-fixed level, such that this error remains unchanged across various scenarios, including the number of treatments, number of repetitions, and coefficient of variation. The purpose of this study is to analyse and compare the following multiple comparison tests for the control of both conditional and unconditional type I error rates, depending on a significant F-test in the analysis of variance: Tukey, Duncan, Fisher’s least significant difference, Student–Newman–Keuls (SNK), and Scheffé. As an application, we present a motivation study and develop a simulation study using the Monte Carlo method for a total of 64 scenarios. In each simulated scenario, we estimate the comparison-wise and experiment-wise error rates, conditional and unconditional on a significant result of the overall F-test of analysis of variance for each of the five multiple comparison tests evaluated. The results indicate that the application of the means tests based only on the significance of the F-test should be considered when determining the error rates, as this can change them. In addition, we find that Fisher’s test controls for the comparison-wise error rate, the Tukey and SNK tests control for the experiment-wise error rate, and the Duncan and Fisher tests control for the conditional experiment-wise error rate. Scheffé’s test does not control for any of the error rates considered. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 1679-9275 1807-8621 |
| Relation: | https://periodicos.uem.br/ojs/index.php/ActaSciAgron/article/view/57742; https://doaj.org/toc/1679-9275; https://doaj.org/toc/1807-8621 |
| DOI: | 10.4025/actasciagron.v45i1.57742 |
| URL الوصول: | https://doaj.org/article/9637d0bfb39b4a8fbe920048865d5f75 |
| رقم الأكسشن: | edsdoj.9637d0bfb39b4a8fbe920048865d5f75 |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 16799275 18078621 |
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| DOI: | 10.4025/actasciagron.v45i1.57742 |