Consider the three-factor model

 

Notice that there is only one replicate. Assuming all the factors are fixed, write down the analysis of variance table, including the expected mean squares. What would you use as the "experimental error" to test hypotheses?

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i = 1, 2, ... , a j = 1, 2, 1, 2, ... , c Yijk = u + T; + B, + Y + (TB); + (By) + Ejk b ....