Question

Researchers in a university were interested in evaluating the combined impact of diet (regular, low-carb, low-fat) and exercise (low, medium, high) on the fasting blood sugar levels of diabetic seniors. They chose 10 senior homes at random from an urban area and from each senior home, 9 diabetic seniors were chosen at random. Each of them were then randomly assigned to one of the combinations of diet and exercise. After three months, the fasting blood sugar levels of all participants were measured.

a) (5pts) What are the treatments in this study? _________________

b) (5pts) How many levels of the treatments were used? _____________

c) (5pts) What is the treatment design? ___________________

d) (5pts) How many replications were there? _________________

e) (5pts) What was the randomization design? ___________________

f) (5 pts) Identify which factors are fixed and which are random.

       Fixed:                                       Random:

Answer 1

a) The treatments in the study are

• diet
• exercise

b) 3 levels of the treatment diet and 3 levels of the treatment exercise were used.

c) The treatment design is randomized block design (RBD) as the experiment involves treatments, subjects and error.

d) Here the design is replicated 10 times as the they chose 10 senior homes at random from an urban area.

e) 9 diabetic seniors were chosen at random from the selected houses. This was the randomization design.

f) The fixed factors were both the treatments - diet and exercise and the random factor was the subjects, as they were chosen at random.

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