# Test of Independence: 2df

** Large Effect Size**

Power analysis for a test of independence with two degrees of freedom was conducted in G-POWER using an alpha of 0.05, a power of 0.80, and a large effect size (*w* = 0.5) (Faul et al., 2008). Based on the aforementioned assumptions, the desired sample size is 39.

** Medium Effect Size**

Power analysis for a test of independence with two degrees of freedom was conducted in G-POWER using an alpha of 0.05, a power of 0.80, and a medium effect size (*w* = 0.3) (Faul et al., 2008). Based on the aforementioned assumptions, the desired sample size is 108.

**Small Effect Size**

Power analysis for a test of independence with two degrees of freedom was conducted in G-POWER using an alpha of 0.05, a power of 0.80, and a small effect size (*w* = 0.1) (Faul et al., 2008). Based on the aforementioned assumptions, the desired sample size is 964.

*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.uniduesseldorf.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/test-of-independence-degrees-of-freedom/test-of-independence-2df/