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It can contain indicator variables (ones and zeros) that indicates group membership in an ANOVA and it represents the independent variables. The advantage with a design matrix is that it is able to represent a number of different experimental designs and statistical models, e.g., ANOVA , ANCOVA , and Linear Regression . EXAMPLE One-way ANOVA Example with a one-way analysis of variance ( ANOVA ) with 3 groups and 7 observations. The first column in the design matrix models the grand mean of the ys, while the 3 remaining columns indicate the group membership of each observation. Here the first group consists of the 3 first observations and the next two groups each consist of two observations. |
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