Refer to Exercise 18.18. Compare the mean AUCs for the three formulations using only the period 1…

Refer to Exercise 18.18. Compare the mean AUCs for the three formulations using only the period 1 data. Does this analysis confirm the analysis of Exercise 18.19? Why might the analysis of Exercise 18.19 be more suitable or not be more suitable than the “parallel” analysis of this exercise?

Exercise 18.18 and 18.19
Refer to Exercise 18.18. Run an analysis of variance for a three-period crossover design. Does your analysis confirm the intuition you expressed in Exercise 18.18? Use a  .05.

Exercise 18.18

Many of us have been exposed to advertising related to the “bioavailability” of generic and brand-name formulations of the same drug product. One way to compare the bioavailability of two formulations of a drug product is to compare areas under the concentration curve (AUC) for subjects treated with both formulations. For example, the shaded area in the figure represents the AUC for a patient treated with a single dose of a drug.

A three-period crossover design was used to compare the bioavailability of two brand-name (1 and 2) and one generic version (3) of weight-reducing agents. Three sequences of administering the drugs were used in the study:

Sequence 1: 1, 2, 3
Sequence 2: 2, 3, 1
Sequence 3: 3, 1, 2

A random sample of five subjects was assigned to each of the three sequences. The AUCs for these 15 patients are shown here.

a. Plot the formulation means (AUCs) by period for each sequence.

b. Is there evidence of a period effect?

c. Do the formulations appear to differ relative to AUC?

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