Advance Biostats SPSS (Two-Way ANOVA) Use Tukey

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WK3Part.5_PracticeStep-by-StepGuide.doc

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.

Tests of Between-Subjects Effects

Dependent Variable: Steps per month

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

Total

104212533874.000

100

Corrected Total

32547102258.000

99

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.

Descriptive Statistics

Dependent Variable: Steps per month

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

High school diploma

Male

28006.06

19250.134

16

Female

17234.13

12331.408

15

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

image1.png

Multiple Comparisons

Dependent Variable: Steps per month

Tukey HSD

(I) Education level

(J) Education level

Mean Difference (I-J)

Std. Error

Sig.

95% Confidence Interval

Lower Bound

Upper Bound

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

Based on observed means.

The error term is Mean Square(Error) = 282888860.474.

*. 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.