A good study design can prevent or limit problems with confounding, measurement error, selection bias, which would threaten the validity of the results and limit generalizability. Statistical analysis cannot compensate for serious design mistakes.
The appropriateness of a design depends on the research question, availability of measurement tools, and how the information will be used. The validity of a design is highly topic- and context-specific. There are competing considerations, for example, when a measurement instrument is more precise, but also more expensive, thus necessitating a smaller sample size due to budget constraints. Or, there are laboratory measurements that are kown to be better predictors than others, but have more missing values.