Design Matrices for the Orange Example Additive Model Variety Pesticide Obs 1 2 1 2 3 ----+-------+---------- 1 1 0 1 0 0 2 1 0 1 0 0 3 1 0 0 1 0 4 1 0 0 1 0 5 1 0 0 0 1 6 1 0 0 0 1 7 1 0 0 0 0 8 1 0 0 0 0 9 0 1 1 0 0 10 0 1 1 0 0 11 0 1 0 1 0 12 0 1 0 1 0 13 0 1 0 0 1 14 0 1 0 0 1 15 0 1 0 0 0 16 0 1 0 0 0 17 0 0 1 0 0 18 0 0 1 0 0 19 0 0 0 1 0 20 0 0 0 1 0 21 0 0 0 0 1 22 0 0 0 0 1 23 0 0 0 0 0 24 0 0 0 0 0 Saturated Model Variety Pesticide Variety*Pesticide Obs 1 2 1 2 3 1 1 1 2 1 3 2 1 2 2 2 3 ----+-------+----------+------------------------------- 1 1 0 1 0 0 1 0 0 0 0 0 2 1 0 1 0 0 1 0 0 0 0 0 3 1 0 0 1 0 0 1 0 0 0 0 4 1 0 0 1 0 0 1 0 0 0 0 5 1 0 0 0 1 0 0 1 0 0 0 6 1 0 0 0 1 0 0 1 0 0 0 7 1 0 0 0 0 0 0 0 0 0 0 8 1 0 0 0 0 0 0 0 0 0 0 9 0 1 1 0 0 0 0 0 1 0 0 10 0 1 1 0 0 0 0 0 1 0 0 11 0 1 0 1 0 0 0 0 0 1 0 12 0 1 0 1 0 0 0 0 0 1 0 13 0 1 0 0 1 0 0 0 0 0 1 14 0 1 0 0 1 0 0 0 0 0 1 15 0 1 0 0 0 0 0 0 0 0 0 16 0 1 0 0 0 0 0 0 0 0 0 17 0 0 1 0 0 0 0 0 0 0 0 18 0 0 1 0 0 0 0 0 0 0 0 19 0 0 0 1 0 0 0 0 0 0 0 20 0 0 0 1 0 0 0 0 0 0 0 21 0 0 0 0 1 0 0 0 0 0 0 22 0 0 0 0 1 0 0 0 0 0 0 23 0 0 0 0 0 0 0 0 0 0 0 24 0 0 0 0 0 0 0 0 0 0 0