Consider the randomized block design with 4 blocks and 3 treatments given above. What is the error sum of squares?
A)15
B)2
C)3
D)10

Question

Consider the randomized block design with 4 blocks and 3 treatments given above. What is the error sum of squares?
A)15 
B)2 
C)3 
D)10

Quizplus · Accepted Answer

SS (Total)= (2 - 2.5)² + (1 - 2.5)² + (2 - 2.5)² F1F1F1S1F1F1F10 + (2 - 2.5)² = 15SS (Block)= 3 [(2 - 2.5)² + (3 - 2.5)² + (3 - 2.5)² + (2 - 2.5)²] = 3SS (Treatment)= 4 [(2 - 2.5)² + (2.5 - 2.5)²+ (3 - 2.5)²] = 2SSE = 15 - 3 - 2 = 10

Consider the Randomized Block Design with 4 Blocks and 3