1. (a) For the typing experiment considered in Section 1.3 (Unit 1 slides, page 14), use a statistical model to quantify the gains from using randomization (second sequence in Unit 1, page 14) and from using balance in addition to randomization.
2. (b) Suppose that the following sequence is obtained from using balanced randomization:
3. 1. A, B2. A, B, 3. A, B,4. B, A, 5. B, A,6. B, A.
4. Would you use it for the study? If not, what would you do? What aspect of the sequence makes you uneasy? Can you relate it to the possibility that the advantage of the learning effect may diminish over time and express it in more rigorous terms? (Hint: The terms in the model should represent the effects you identified as potentially influencing the comparison).