Examining the impact of Sample and Effect Sizes on the Power of One-way Analysis of Variance F-test.

dc.contributor.authorOyeyemi, G. M.
dc.contributor.authorAdeleke, B. L.
dc.date.accessioned2023-07-19T09:39:40Z
dc.date.available2023-07-19T09:39:40Z
dc.date.issued2012
dc.description.abstractThe power of a test is a function of three factors; sample size, the size of detectable effects and the level of significance. The paper focused on determining the non-centrality parameter in one-way analysis of variance (ANOVA) test which by implication utilizes the completely randomized design. To examine the contributing effect of sample size and size of detectable effects, data were simulated for varying levels of treatments, replicates and effect sizes for several experiments of the completely randomized design type. The results showed that power of the F test increased monotonically with size of non-centrality parameter λ, where non-centrality parameter is a function effect size. An increase in sample size also brings proportionate increases in power irrespective of the number of treatments under consideration.en_US
dc.description.sponsorshipSelf-sponsoreden_US
dc.identifier.citationInternational Journal Statistics and Systemen_US
dc.identifier.issn0973-2675
dc.identifier.urihttps://uilspace.unilorin.edu.ng/handle/20.500.12484/11563
dc.language.isoenen_US
dc.publisherResearch India Publicationsen_US
dc.relation.ispartofseries7(2);101 - 108
dc.subjectNon-centrality parameter, Power, Effect size, Replicate Treatmenten_US
dc.titleExamining the impact of Sample and Effect Sizes on the Power of One-way Analysis of Variance F-test.en_US
dc.typeArticleen_US

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