Start with the model of Section XXXXXXXXXXSuppose the combination (a 2 , b 3 ) is not observed, so we have only five unique cell means. How are the βs related to the μij? What can be said about the...

Start with the model of Section 5.5.1. Suppose the combination (a₂, b₃) is not observed, so we have only five unique cell means. How are the βs related to the μij? What can be said about the main effects of factor B?

The coding of factors into dummy variables described in the text is used by default in most regression software. Older sources, and sources that are primarily concerned with designed experiments, may use effects coding for the dummy variables. For a factor X with d levels {1, 2, . . . , d} define
  with elements v_ji
are given by

The mean function for the one-factor model is then