To compare effects while controlling for initial response, fit model (11.7), using scores{10, 25,…

To compare effects while controlling for initial response, fit model (11.7), using scores{10, 25,…

Refer to Table 11.4.

a. To compare effects while controlling for initial response, fit model (11.7), using scores{10, 25, 45, 75}for time to falling asleep. Also fit the interaction model, and describe the lack of fit. (Note that for the first two baseline levels, the active and placebo treatments have similar sample response distributions at the follow-up; at higher baseline levels, the active treatment seems more successful).

b. Fit the interaction model

that constrains effects{β1x+ β2y1+ β3 xy1}to follow the pattern (τ , τ ,λ+ σ, λ)for the active group and (τ , τ ,λ+ σ, 0) for the placebo group. Interpret ˆ.

TABLE 11.4 Time to Falling Asleep, by Treatment and Occasion

Treatment

 

 

Time to Falling Asleep

 

Initial

 

Follow-up

 

<20

20-30

30-60

>60

Active

<20

7

4

1

0

 

20-30

11

5

2

2

 

30-60

13

23

3

1

 

>60

9

17

13

8

Placebo

20

7

4

2

1

 

20-30

14

5

1

0

 

30-60

6

9

18

2

 

>60

4

11

14

22       

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