# MANCOVA: 8 levels and 2 dependent variables

* Large Effect Size*

Power analysis for a MANCOVA with eight levels and two 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 (*f*^{2} = 0.40) (Faul et al., 2008). Based on the aforementioned assumptions, the desired sample size is 32.

*Medium Effect Size*

Power analysis for a MANCOVA with eight levels and two 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 (*f*^{2} = 0.25) (Faul et al., 2008Based on the aforementioned assumptions, the desired sample size is 48.

**Small Effect Size**

Power analysis for a MANCOVA with eight levels and two 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 (*f*^{2} = 0.10) (Faul et al., 2008). Based on the aforementioned assumptions, the desired sample size is 104.

*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/mancova-groups/mancova-8-levels-and-2-dependent-variables