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:

    For an artist to marry his model is as fatal as for a gourmet to marry his cook: the one gets no sittings, and the other gets no dinners.
    Oscar Wilde (1854–1900)

    Get behind me, Satan! You are a stumbling block to me; for you are setting your mind not on divine things but on human things.
    Bible: New Testament, Matthew 16:23.

    Jesus to Peter.

    I always consider the settlement of America with reverence and wonder, as the opening of a grand scene and design in providence, for the illumination of the ignorant and the emancipation of the slavish part of mankind all over the earth.
    John Adams (1735–1826)