In a research study, students were given pedometers for a 12-week period, and asked to record the average number of steps per day during weeks 1, 6, and 12. See the results below. Number of steps (x1000) Participant Week 1 Week 6 Week 12 P A 6 8 10 24 B 4 5 6 15 N = 18 C 5 5 5 15 G = 72 D 1 2 3 6 ΣX2 = 400 E 0 1 2 3 k = 3 F 2 3 4 9 n = 6 T = 18 T = 24 T = 30 SS = 28 SS = 32 SS = 40 Use a repeated measures ANOVA with α = .05 to determine whether the mean number of steps changes significantly from one week to another. State the null hypothesis in words and statistical nomenclature, and the alternative hypothesis in words. The Critical F-value is: Note: Include all the numbers after the decimal point. The F-statistic is: Note: If it is a decimal number with two or more than two places, leave only two decimal places after the decimal point and do not round. Your decision is: Compute η2 to measure the size of the treatment effect. η2 = Note: If it is a decimal number with two or more than two places, leave only two decimal places after the decimal point and do not round. Report the results in APA (In addition to the hypothesis test, include the measure of effect size)
Questions 20 to 25 are based on the following problem
In a research study, students were given pedometers for a 12-week period, and asked to record the average number of steps per day during weeks 1, 6, and 12. See the results below.
|
Number of steps (x1000) |
|||||
|
Participant |
Week 1 |
Week 6 |
Week 12 |
P |
|
|
A |
6 |
8 |
10 |
24 |
|
|
B |
4 |
5 |
6 |
15 |
N = 18 |
|
C |
5 |
5 |
5 |
15 |
G = 72 |
|
D |
1 |
2 |
3 |
6 |
ΣX2 = 400 |
|
E |
0 |
1 |
2 |
3 |
k = 3 |
|
F |
2 |
3 |
4 |
9 |
n = 6 |
|
|
T = 18 |
T = 24 |
T = 30 |
|
|
|
|
SS = 28 |
SS = 32 |
SS = 40 |
|
|
Use a repeated measures ANOVA with α = .05 to determine whether the mean number of steps changes significantly from one week to another.
State the null hypothesis in words and statistical nomenclature, and the alternative hypothesis in words.
The Critical F-value is:
Note: Include all the numbers after the decimal point.
The F-statistic is:
Note: If it is a decimal number with two or more than two places, leave only two decimal places after the decimal point and do not round.
Compute η2 to measure the size of the treatment effect.
η2 =
Note: If it is a decimal number with two or more than two places, leave only two decimal places after the decimal point and do not round.
Report the results in APA (In addition to the hypothesis test, include the measure of effect size)
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