MANCOVA: 3 levels and 3 dependent variables

Large Effect Size

Power analysis for a MANCOVA with three levels and three dependent variables was conducted in G-POWER to determine a sufficient sample size using an alpha of 0.05, a power of 0.80, and a large effect size (f2 = 0.40) (Faul et al., 2008). Based on the aforementioned assumptions, the desired sample size is 21.

Medium Effect Size

Power analysis for a MANCOVA with three levels and three dependent variables was conducted in G-POWER to determine a sufficient sample size using an alpha of 0.05, a power of 0.80, and a medium effect size (f2 = 0.25) (Faul et al., 2008). Based on the aforementioned assumptions, the desired sample size is 33.

Small Effect Size

Power analysis for a MANCOVA with three levels and three dependent variables was conducted in G-POWER to determine a sufficient sample size using an alpha of 0.05, a power of 0.80, and a small effect size (f2 = 0.10) (Faul et al., 2008). Based on the aforementioned assumptions, the desired sample size is 72.

References

Faul, F., Erdfelder, E., Buchner, A., & Lang, A.-G. (2008). G*Power Version 3.1.2 [computer software]. Uiversit├Ąt 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