MathProblem-Solving & Data AnalysisMedium frequency

SAT Math: Experimental Design: Control vs Treatment

26+ practice questions in Praczo

What you need to know

The concept, explained

  • 1

    To prove a cause-and-effect relationship, you need a randomized controlled experiment.

  • 2

    Participants must be randomly assigned to either a treatment group (gets the intervention) or a control group (gets a placebo or nothing).

  • 3

    If people self-select into groups, or if it is just an observational study (watching what people naturally do), you CANNOT claim cause and effect, only correlation.

  • 4

    Furthermore, you can only generalize results to the specific population that was randomly sampled.

Common mistakes
  • Concluding "X causes Y" from an observational study just because the correlation is very strong.
  • Generalizing the results of a drug trial solely on seniors to the entire global population.
Try a sample question

SAT-style practice

A researcher asks 100 people who voluntarily eat a vegan diet and 100 people who eat a standard diet about their energy levels. The vegans report higher energy. Can the researcher conclude the vegan diet causes higher energy?

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