Question

The primary interest in designing a randomized block experiment is to: ​

a. reduce the variation among blocks
b. increase the variation among treatment means to more easily detect differences among the treatment means
c. reduce the variation among treatment means to more easily detect differences among the treatment means
d. increase the total sum of squares
e. none of these

Answer 1

e. none of these

Explanation:

Primary interest in designing randomised block experiment is to : reduce the within treatment variation, to more easily detect differences between means.

A randomised block design involves the experimenter dividing subjects into subgroups known as blocks. The blocks are designed as to reduce the variability within the blocks, compared to variability between the blocks. This intra blocks less variation & inter blocks more variation, make blocks mean well represent their differences.