In a pre-post with control quasi-experimental design, where you're comparing the outcomes of a treatment or intervention between groups, determining the appropriate sample size distribution is crucial for obtaining meaningful and statistically valid results. There isn't a single "best" method, but I can outline some common approaches and considerations for determining sample size in this type of design:

Remember that sample size calculation is both a statistical and practical decision. It's important to strike a balance between having a sufficiently large sample size to detect meaningful effects and keeping the study feasible and ethical. Consulting with a statistician or using sample size calculators in statistical software can greatly aid in this process.