Hello, I want to determine how much statistical power my study has in finding a significant 4-way interaction. The study uses a 2x2x2x2 mixed ANOVA design (1 between and 3 within factors all containing 2 levels each). Is there a tool that could be useful with such a design? Mixed ANOVA with g*power and superpower seems to be limited to 2x2x2 interactions. Perhaps someone can give a guide on a R packages and how to figure out the power.
Hi,
More Power Calculator can potentially be used for power analysis in 2x2x2x2 mixed ANOVA designs.
Article MorePower 6.0 for ANOVA with relational confidence intervals...
Hope this helps.
It looks like PASS could be used for this problem. I know it is a commercial product, but a free trial is available.
- https://www.ncss.com/software/pass/
- https://www.ncss.com/wp-content/themes/ncss/pdf/Procedures/PASS/Repeated_Measures_Analysis.pdf
Determining statistical power for a 4-way interaction in a mixed ANOVA design can be a bit complex, and it might require more specialized tools and programming. While G*Power and Superpower are useful for simpler designs, you're right that they might not cover such specific scenarios. In this case, conducting power analysis using R and relevant packages would be a good approach. One package that could be useful for your purpose is the "pwr" package.
The best approach to use for estimating power for a 2x2x2x2 mixed ANOVA with a 4-way interaction will depend on the specific characteristics of your study. If you have a large sample size and you are confident that the data is normally distributed and that the variances of the different groups are equal, then you can use a parametric power analysis to estimate power. However, if you have a small sample size or if you are not confident that the data meets the assumptions of a parametric power analysis, then it is better to use simulation to estimate power
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