Statistical Analysis of the Randomized Block Design

Randomized Blocks Design R X O R O Homogeneous groups Need to represent the blocking variable Dummy code treatment variable

Regression Model for Blocking Design yi = 0 + 1Z1i + 2Z2i + 3Z3i + 4Z4i + ei where: yi = outcome score for the ith unit 0 = coefficient for the intercept 1 = mean difference for treatment 2 = blocking coefficient for block 2 3 = blocking coefficient for block 3 4 = blocking coefficient for block 4 Z1i = dummy variable for treatment(0 = control,1= treatment) Z2i = 1 if block 2, 0 otherwise Z3i = 1 if block 3, 0 otherwise Z4i = 1 if block 4, 0 otherwise ei = residual for the ith unit