A randomized block experiment having five treatments and four blocks produced the following values: Total SS = total sum of squares = 1500, SST = sum of squares for treatments = 275, SSE = sum of squares for error = 153. The value of MSB = mean square for blocks must be 268.

Question

Quizplus · Accepted Answer

The mean square for blocks (MSB) is calculated by subtracting the sum of squares for treatments (SST) and the sum of squares for error (SSE) from the total sum of squares (SS), and then dividing by the degrees of freedom for blocks. Here, MSB = (1500 - 275 - 153) / (4 - 1) = 1072 / 3 = 357.33, not 268.

A Randomized Block Experiment Having Five Treatments and Four Blocks