Randomized Block Design - Model For A Randomized Block Design

Model For A Randomized Block Design

The model for a randomized block design with one nuisance variable is


Y_{ij} = \mu + T_i + B_j + \mathrm{random\ error}

where

Yij is any observation for which X1 = i and X2 = j
X1 is the primary factor
X2 is the blocking factor
μ is the general location parameter (i.e., the mean)
Ti is the effect for being in treatment i (of factor X1)
Bj is the effect for being in block j (of factor X2)

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