Consider an experiment taste-testing four types of chocolate chip cookies: 1 (brand A, chewy, expensive), 2 (brand B, crispy, expensive), 3 (brand C, chewy, inexpensive), 4 (brand D, crispy, inexpensive). We will use ten different raters randomly assigned to each type (40 total raters).
Answer the following questions:
a) Design contrasts to compare chewy with crispy, and expensive with inexpensive.
(b) Are your contrasts in part (a) orthogonal? Why or why not?