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Determining Sample Size in General Linear Models

J. P. Verma () and Priyam Verma
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J. P. Verma: Sri Sri Aniruddhadeva Sports University

Chapter Chapter 7 in Determining Sample Size and Power in Research Studies, 2020, pp 89-119 from Springer

Abstract: Abstract Each statistical application requires different types of inputs for determining sample size and power in the study. In this chapter, we discuss which inputs are used for different statistical techniques such as general linear models, independent measures ANOVA, repeated measures ANOVA and MANOVA experiments. We shall discuss the procedure of deciding sample size by means of illustrations using G*Power software. Along with determining the sample size, we have discussed the procedure of computing power for a given sample size in the initial few applications. The same procedure can be adopted in other applications to compute power. We have also discussed the relationship between the sample size and effect size, where the effect size can be interpreted as the size of coefficient in a regression framework, for a given power and significance level. Also we discuss the relationship between the sample size and power when the effect size and significance levels are fixed. The readers can draw such graphs in other applications by following the same procedure.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-15-5204-5_7

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DOI: 10.1007/978-981-15-5204-5_7

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