Chapter 6, Problem 6.73RE

(a)

To determine

To construct a sketch that describe the testaments formed by combining dose and method.

Explanation of Solution

  $\begin{array}{l}\text{Explanatory variable=Dose (5 mg and 10 mg) and Administering method}\\ \text{(Injection, Skin, patch, Intravenous drip)}\text{.}\end{array}$

Treatment = The treatments are any combinations of dose and administering method.

	5 mg	10 mg
Injection	Treatment 1	treatment 2
Skin patch	Treatment 3	Treatment 4
Intravenous Drip	Treatment 5	Treatment 6

We randomly assign all subjects to one of the six treatments.

(b)

To determine

To explain the advantages of using larger groups of subjects.

Explanation of Solution

The advantages of using larger groups of subjects are:

1. More accurate results.
2. Less variation in the results of a single group.
3. More likely to detect an actual different among the different treatments.

(c)

To determine

To explain how would you modify experimental design in (a) to take this into account.

Explanation of Solution

A randomized block experiment groups the experimental units into two or more blocks with the common characteristics and then randomly assigns a treatment to the experimental units in each block.

We can then take the gender into account by blocking the subjects according to gender.