Which of the following is the primary interest of designing a randomised block experiment?
A) Reduce the variation among blocks.
B) Reduce the within-treatments variation to more easily detect differences among the treatment means.
C) Increase the between-treatments variation to more easily detect differences among the treatment means.
D) Increase the total sum of squares.

Question

Quizplus · Accepted Answer

The primary interest of designing a randomised block experiment is to reduce the within-treatments variation to more easily detect differences among the treatment means. By blocking, we ensure that the variation caused by extraneous factors is controlled and the differences between the treatments are more easily detected. This increases the precision of the experiment and reduces the probability of making a Type II error.

Which of the Following Is the Primary Interest of Designing