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)

Read more about this topic:  Randomized Block Design

Famous quotes containing the words model, block and/or design:

    AIDS occupies such a large part in our awareness because of what it has been taken to represent. It seems the very model of all the catastrophes privileged populations feel await them.
    Susan Sontag (b. 1933)

    It is, in both cases, that a spiritual life has been imparted to nature; that the solid seeming block of matter has been pervaded and dissolved by a thought; that this feeble human being has penetrated the vast masses of nature with an informing soul, and recognised itself in their harmony, that is, seized their law. In physics, when this is attained, the memory disburthens itself of its cumbrous catalogues of particulars, and carries centuries of observation in a single formula.
    Ralph Waldo Emerson (1803–1882)

    Delay always breeds danger; and to protract a great design is often to ruin it.
    Miguel De Cervantes (1547–1616)