Home › MCQs › CSS Statistics › Question #2013
Back to Questions
CSS Statistics QUESTION #2013
Question 1
The relative efficiency (RE) of a Completely Randomized Design (CRD) relative to an RCB design is used to indicate:
  • Whether the F-test is significant
  • How many times more observations CRD would need to achieve the same precision as RCB✔️
  • The ratio of treatment means in both designs
  • The difference in error degrees of freedom between designs
Correct Answer Explanation
Relative efficiency \(RE = \dfrac{MS_E(\text{CRD})}{MS_E(\text{RCB})}\) estimates how many times more replications a CRD would need to attain the same precision as the RCB design. An \(RE > 1\) indicates blocking was effective in reducing error variance, justifying the use of the RCB design.