The Wise son:
This is definitely an important issue for research since it forces you to think about your study design. I call the sample size consideration a sanity check of the study plan. Good planning will result in an efficient study and will protect from scientific pitfalls. Example of issues you are likely to encounter; What are you testing? proportions, survival group comparison or demonstrating some dose-response association. Will there be repetitions in the study or follow-up over time? What are the key co-factors to consider? What is the sampling scheme? Any possible biases to avoid? And are there sub-groups analyses? I usually follow this paper (and the Hebrew link is here).
The Simple son:
Stop asking so many questions, Wise. It is just about plugging parameters into a formula. The main parameters are statistical significance (α), statistical power (1-β), clinical effect size, and degree of the outcome dispersion (σ²). There are plenty of sample size calculators on the web to help you with that.
KISS - keep it simple and short.
The Wicked son:
Sorry to ruin the party guys, but you are aware of the budget limits, right? You can calculate all you want till tomorrow, but who can afford the perfect study? Well, let me tell you. No one. And when you start trying to fit in the budget limits, you need to give up being wise and start being smart. Take it easy guys.
The Simple son:
Hey Wicked, I thought you were about to warn us against large sample size and how it leads to finding statistically significant effect but with no clinical importance…
The Wicked son:
Oh, don’t get me started! When researchers get into a gold mine, which is nowadays called “big data”, they think they can find any effect size they want because it all comes out significant! Be careful with that guys, you may end up finding that the number of grandmas has a statistically significant effect on the amount of money spent on chocolate.
He who couldn’t ask:
Oh man, and I thought this would be easy… I once tried those web calculators and got nowhere. Then you started with those Greek letters and I’ve lost you. I have here a medium-size apple pie with a small-size vanilla ice-cream ball, and I’m willing to share it with N study participants due to my big-sized heart.