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Effect Size for Nested Design

Scholars journal of physics, mathematics and statistics(2021)

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Abstract
Effect size is an efficient way of calculating/estimating the level of variation in any data set. It has been proven to give more information than hypothesis testing and p-value. It also enhances the information provided by hypothesis testing. Hence, several renowned scholars and organisations have recommended this technique as a pertinent analysis for meticulous discovery and conclusions on issues of level of significance/impact of factors. Effect size analysis is becoming ubiquitous with a widespread availability of both methods and software used for its estimation. Despite this growth, their use in nested design has been limited. This could be greatly attributed to the lack of non-ambiguous methods for estimating effect size in Nested Design. In this work, we will to extend Cohens (1988) formula to Nested Design. Providing novel and well-defined formulae that can be used to produce estimate for effect size in Nested Design for both fixed and random factors.
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Key words
nested design,effect,size
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