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

Question

Quizplus · Accepted Answer

Given Total SS = 1500, SST = 275, SSE = 153, we can calculate SSB (Sum of Squares for Blocks) and then MSB (Mean Square for Blocks). First, find SSB using the formula SSB = Total SS - SST - SSE. SSB = 1500 - 275 - 153 = 1072. MSB is calculated by dividing SSB by the degrees of freedom for blocks, which is the number of blocks minus one (4-1=3). Therefore, MSB = 1072 / 3 = 357.33, not 268.

A Randomized Block Experiment Having Five Treatments and Four Blocks