Simulation-Based Power Analysis
Simulation-based power analysis estimates the statistical power and required sample size of a study by repeating a full analysis pipeline thousands of times on artificially generated data. Because it relies on Monte Carlo simulation rather than closed-form equations, it is applicable to designs — mixed models, complex measurement structures, non-standard outcomes — where analytical power formulas do not exist. The approach was systematically described for applied research by Arnold et al. in 2011, and the mixed-model implementation via the SIMR package was formalised by Green and MacLeod in 2016.
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- Arnold, B.F. et al. (2011). Simulation Methods to Estimate Design Power: An Overview for Applied Research. BMC Medical Research Methodology, 11, 94. · DOI 10.1186/1471-2288-11-94
- Green, P. & MacLeod, C.J. (2016). SIMR: An R Package for Power Analysis of Generalized Linear Mixed Models by Simulation. Methods in Ecology and Evolution, 7(4), 493–498. · DOI 10.1111/2041-210X.12504
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