Advance Biostats SPSS (Two-Way ANOVA) Use Tukey
Part 5
Step-by-Step Guide Assignment Problem 3.5
2-Way ANOVA
Problem 5. Interpret the analysis results in the context of the research question: Is there a difference in the level of exercise based on a person’s sex and level of education? Include important statistics from your analysis results to support your conclusion and generalize your results, if appropriate, to the relevant population(s).
In this question, researchers are interested in comparing differences in exercise levels between males and females as well as between education levels. They also want to know whether there is an interaction between sex and education level on the number of steps taken.
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Tests of Between-Subjects Effects |
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Dependent Variable: Steps per month |
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Source |
Type III Sum of Squares |
df |
Mean Square |
F |
Sig. |
|
Corrected Model |
5955549373.489a |
5 |
1191109874.698 |
4.211 |
.002 |
|
Intercept |
44707311147.288 |
1 |
44707311147.288 |
158.038 |
.000 |
|
EDUC |
4092792467.648 |
2 |
2046396233.824 |
7.234 |
.001 |
|
SEX |
1602183746.129 |
1 |
1602183746.129 |
5.664 |
.019 |
|
EDUC * SEX |
37044447.218 |
2 |
18522223.609 |
.065 |
.937 |
|
Error |
26591552884.511 |
94 |
282888860.474 |
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|
|
Total |
104212533874.000 |
100 |
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|
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Corrected Total |
32547102258.000 |
99 |
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a. R Squared = .183 (Adjusted R Squared = .140) |
In the Tests of Between-Subjects Effects produced in the SPSS output in problem 3.4,
Interpretation: In your narrative you must indicate:
1. Which variables have a significant effect on your outcome
2. The meaning of the results for the interaction term
3. Your final conclusion regarding the role of gender and education on the outcome.
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Descriptive Statistics |
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Dependent Variable: Steps per month |
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Education level |
Sex |
Mean |
Std. Deviation |
N |
|
No or some high school |
Male |
20180.25 |
11930.465 |
8 |
|
|
Female |
12118.25 |
7423.458 |
8 |
|
|
Total |
16149.25 |
10462.917 |
16 |
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High school diploma |
Male |
28006.06 |
19250.134 |
16 |
|
|
Female |
17234.13 |
12331.408 |
15 |
|
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Total |
22793.84 |
16917.187 |
31 |
|
College Degree |
Male |
36614.92 |
22188.134 |
25 |
|
|
Female |
28452.50 |
14537.974 |
28 |
|
|
Total |
32302.70 |
18811.819 |
53 |
|
Total |
Male |
31120.65 |
20533.413 |
49 |
|
|
Female |
22590.75 |
14485.190 |
51 |
|
|
Total |
26770.40 |
18131.702 |
100 |
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Multiple Comparisons |
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Dependent Variable: Steps per month Tukey HSD |
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(I) Education level |
(J) Education level |
Mean Difference (I-J) |
Std. Error |
Sig. |
95% Confidence Interval |
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|
|
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|
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Lower Bound |
Upper Bound |
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No or some high school |
High school diploma |
-6644.59 |
5177.451 |
.408 |
-18974.18 |
5685.01 |
|
|
College Degree |
-16153.45* |
4797.716 |
.003 |
-27578.74 |
-4728.16 |
|
High school diploma |
No or some high school |
6644.59 |
5177.451 |
.408 |
-5685.01 |
18974.18 |
|
|
College Degree |
-9508.86* |
3803.022 |
.037 |
-18565.38 |
-452.34 |
|
College Degree |
No or some high school |
16153.45* |
4797.716 |
.003 |
4728.16 |
27578.74 |
|
|
High school diploma |
9508.86* |
3803.022 |
.037 |
452.34 |
18565.38 |
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Based on observed means. The error term is Mean Square(Error) = 282888860.474. |
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*. The mean difference is significant at the .05 level. |
Interpretation:
In your narrative you must indicate:
1. Why Tukey HSD is not necessary for variable sex
2. What is the final conclusion regarding the role of gender in education and step per month
3. What is the meaning of Tukey test for college degree and step per months. You must discuss different education levels.
4. What is your summary coclusion regarding the role of gender and education.