In a study to compare the effects on physical performance of different types of food consumed prior to exercise, an experimenter measured the oxygen consumption of 6 volunteers during a prescribed exercise period on four different days an hour after consuming a given number of calories from different food types: (1) equal carbohydrates and fat; (2) equal carbohydrates and protein; (3) equal protein and fat; (4) equal carbohydrates, protein, and fat. Each volunteer's oxygen consumption was measured under each condition, with the order of the conditions randomized across individuals. The oxygen consumption of the participants are shown below (higher values indicate better performance):
|
Participant
|
Oxygen consumption
|
|
|
Carbs/fat
|
Carbs/protein
|
Protein/fat
|
Carbs/protein/fat
|
|
1
2
3
4
5
6
|
37
48
40
36
45
52
|
55
60
55
45
55
42
|
48
57
53
35
50
35
|
65
52
55
59
66
43
|
(a) Which of the following statistical procedures is appropriate for these data? Circle your answer for each.
One-way ANOVA: YES NO
Two-way ANOVA: YES NO
Repeated Measures: YES NO
Randomized Blocks: YES NO
(b) State the hypothesis of interest. Test the hypothesis and report the ANOVA table. State your conclusion IN THE CONTEXT OF THE STUDY, indicating what values you used to reach your conclusion.