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From these data, we can build a [[contingency table]], where <math>n_{i+} = \sum_{j=1}^J n_{ij}</math> and <math>n_{+j} = \sum_{i=1}^I n_{ij}</math>, and the total number of replicates is equal to <math>n = \sum_{i,j} n_{ij} = \sum_i n_{i+} = \sum_j n_{+j}</math>.
The [[experimental design]] is '''balanced''' if each treatment has the same number of replicates, <math>K</math>. In such a case, the design is also said to be '''orthogonal''', allowing to fully distinguish the effects of both factors. We hence can write <math>\forall i,j \; n_{ij} = K</math>, and <math>\forall i,j \; n_{ij} = \frac{n_{i+} \
==Model==
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