Large Effect Size
Power analysis for a Mann-Whitney U test was conducted in G-POWER to determine a sufficient sample size using an alpha of 0.05, a power of 0.80, a large effect size (d = 0.8), and one tail (Faul et al., 2008). There will be an equal allocation of participants into each group. Based on the aforementioned assumptions, the desired sample size is 42.
Medium Effect Size
Power analysis for a Mann-Whitney U test was conducted in G-POWER to determine a sufficient sample size using an alpha of 0.05, a power of 0.80, a medium effect size (d = 0.5), and one tail (Faul et al., 2008). There will be an equal allocation of participants into each group. Based on the aforementioned assumptions, the desired sample size is 106.
Small Effect Size
Power analysis for a Mann-Whitney U test was conducted in G-POWER to determine a sufficient sample size using an alpha of 0.05, a power of 0.80, a small effect size (d = 0.2), and one tail (Faul et al., 2008). There will be an equal allocation of participants into each group. Based on the aforementioned assumptions, the desired sample size is 650.
References
Faul, F., Erdfelder, E., Buchner, A., & Lang, A.-G. (2008). G*Power Version 3.1.2 [computer software]. Uiversität Kiel, Germany. Retrieved from http://www.psycho.uni-duesseldorf.de/abteilungen/aap/gpower3/download-and-register
Statistics Solutions. (2010). Sample Size Write-up [WWW Document]. Retrieved from http://www.statisticssolutions.com/resources/sample-size-calculator/mann-whitney-u-1-tailed/
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