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Answer the following five statements with True or False (T/F). No need to provide your reasoning behind it. [2 points each] Randomization protects us against

Answer the following five statements with True or False (T/F). No need to provide your reasoning behind it. [2 points each]

  1. Randomization protects us against systematic variables that change throughout the experiment and were not accounted for. By randomizing an experiment, the levels of a factor are uniformly assigned across the runs and thus maintaining the estimated effects of interest unbiased. ____
  2. A blocking variable can be a continuous uncontrolled variable. ____
  3. The best estimate of error comes from replicating center points ____
  4. The necessary number of replicates depends on the chosen confidence level. Specifically, if the confidence level is increased, the number of replicates are reduced or remain unchanged. ____
  5. For a factorial design, it is possible for the number of runs in a block to not be a power of 2. ____
  6. To estimate the power of the test for a replicated two-level factorial experiment, the standard deviation does not need to be explicitly known. ____

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