Abstract
Incidence matrix is a useful tool for presenting incomplete block designs; however, it is inadequate to use only an incidence matrix in examining whether a certain incomplete block design becomes a balanced incomplete block design or not. We can use a structural matrix as a useful tool to show whether a certain incomplete block design becomes a balanced incomplete block design or not. We propose an augmented incidence matrix and matrix as another tools for evaluating incomplete block designs. Through the augmented incidenc matrix and matrix, we can ascertain whether a certain incomplete block design becomes a balance incomplete block design or not.
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