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  1. The most important principles of statistical design of experiments are:
  2. Answer
 

randomization and comparison of several treatments

 

randomization and the double-blind technique

 

random sampling and sampling distributions

 

confidence intervals and comparison of several treatments

 

margin of error and random sampling


 

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I would say that the most important principle when designing an experiment (any experiment and thus statistical experiments) is determining why you are conducting the study, what data you must need to get to make you experiment worthwhile, the cost of the experiment - most usefully in terms of units studied, and any prior expertise or knowledge you have in terms of the study's domain.  If you need me to choose from one of the options you indicated, then give me the context in which you are trying to answer the question (e.g., The Class Name, The Textbook Name, the Chapter name, etc).

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All are partially correct, but the most accurate is "random sampling and sampling distributions"

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