Algorithm 1: A priori power analysis for a one-way ANOVA with fixed effects, calculating the required sample size. The analysis is based on the specified input parameters: effect size, significance level, desired power, and number of groups.

F tests—ANOVA: Fixed effects, omnibus, one-way Analysis: A priori: Compute required sample size Input:    Effect size f      =   1.335799      α err prob         =  0.05      Power (1 − β err prob)       =   0.80      Number of groups       =   4 Output: Non-centrality parameter λ =   21.4123076      Critical F   =     4.0661806      Nu-merator df       =  3      Denominator df    =  8      Total sample size    =  12      Actual power     =  0.8681756