SPSS 10 Assignment-Factorial ANOVA General Instructions: In this assignment, you
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SPSS 10 Assignment-Factorial ANOVA
General Instructions: In this assignment, you will be asked to interpret the results from 1 Factorial ANOVA. As with previous assignments, the Aspelmeier and Pierce text does a wonderful job of explaining how actually run the test in Chapter 9. Follow their instructions on how to interpret the results for this assignment. As always I have given you the SPSS output so that you can answer these questions.
Assignment Instructions:
As you probably remember for SPSS 2 Assignment, researchers were interested in how females rated their closest female friend on levels of satisfaction, intimacy, emotional support, loyalty, and tangible help. To do this, 100 female participants completed measures of:
1.Basic demographics:
a.age in months (Variable name “sage”)
b.ethnicity (Variable name “sethnic”)
c.year in college (Variable name “college”)
d.where they live now (Variable name “whlive”)
e.the family composition of the house they grow up in (Variable name “house”)
2.The number of female friends they currently have (Variable name “fnum”)
3.The length of the friendship with their closest female friend (Variable name “flength”)
4.Satisfaction with their closest female friendship (Varialbe name “Satisfaction”)
The following variables were computed in SPSS 2 Assignment and will be utilized in rest of the SPSS assignment.
5.Friendship quality with their closest female friend:
a.Intimacy (Variable name “fgill2”, “fgill7”, “fgill9”, “fgill16”, “fgill18”, “fgill21”, “fgill25”, and “fgill30”)
b.Emotional Support (Variable name “fgill3”, “fgill5”, “fgill11”, “fgill13”, “fgill19”, “fgill23”, “fgill27”, and “fgill32”)
c.Loyalty (Variable name “fgill4”, “fgill6”, “fgill12”, “fgill14”, “fgill20”, “fgill22”, “fgill28”, and “fgill29”)
d.Tangible Help (Variable name “fgill1”, “fgill8”, “fgill10”, “fgill15”, “fgill17”, “fgill24”, “fgill26”, and “fgill31”)
The researchers think that age group (older and younger created in Assignment 8) and “house” will interact. Meaning that the groups of Freshmen who live in the dorms, Freshmen who live in apartments or houses, Freshmen who live with their parents, Sophomores who live in the dorms, Sophomores who live in apartments or houses, and Sophomores who live with their parents will differ on reported levels of Tangible Help with their closest female friends . As we learned from the text and the PPTs, we know these research situations require the use of the Factorial ANOVA. Here is the researchers’ hypotheses:
1.Older and younger females will report different levels of tangible help.
2.Females who live in the dorms, females who live in apartments or houses, and females who live with their parents will report different levels of tangible help.
3.Age group and where they live now will interact.
Use the SPSS data to make conclusions.
Here is what we did to get the print out below, Also described in Aspelmeier & Pierce pp. 111-113
Part 1—The Analyses
1.For this assignment, we need to run 1 Factorial ANOVA Test, which produces 3 separate F tests: one comparing ages groups, one comparing where students currently live, and one comparing the interaction of the two independent variables. I followed the steps in the Aspelmeier and Pierce text in Chapter 9.
a.Use “age group” and “house” as the two independent variables and “tangible help” as the dependent variable.
b.Be sure to get Descriptives and Homogeneity Tests under the “Options”
2.We also need to run the Tukey multiple comparison procedures.
a.Click on “Post Hoc”
b.Place the Factors from the box on the left into the box on the right.
c.Check the box next to Tukey
d.Click “Continue”
3.Additionally, we will need to create a graph for the hypotheses.
a.Follow the steps in the Aspelmeier and Pierce text in Chapter 9 to create Means Plots for each variable and the interaction.
Again we have run the analysis for you and created the graphs; all you will need to do is interpret them.
Output
Between-Subjects Factors
Value Label
N
Where do you live
1
Dorm
34
2
Apartment or House with Peers or Self
34
3
Parents
32
Younger vs. Older
1.00
47
2.00
53
Descriptive Statistics
Dependent Variable:Help
Where do you live
Younger vs. Older
Mean
Std. Deviation
N
Dorm
dimension2
1.00
54.92
7.259
24
2.00
57.60
6.096
10
Total
55.71
6.957
34
Apartment or House with Peers or Self
dimension2
1.00
54.78
5.357
9
2.00
55.28
7.591
25
Total
55.15
6.994
34
Parents
dimension2
1.00
54.57
14.124
14
2.00
57.11
5.960
18
Total
56.00
10.236
32
Total
dimension2
1.00
54.79
9.367
47
2.00
56.34
6.759
53
Total
55.61
8.085
100
Levene's Test of Equality of Error Variancesa
Dependent Variable:Help
F
df1
df2
Sig.
1.372
5
94
.242
Tests of Between-Subjects Effects
Dependent Variable:Help
Source
Type III Sum of Squares
df
Mean Square
F
Sig.
Corrected Model
115.755a
5
23.151
.342
.886
Intercept
266169.298
1
266169.298
3936.403
.000
Whlive
21.283
2
10.642
.157
.855
Agegrp
78.088
1
78.088
1.155
.285
whlive * agegrp
20.403
2
10.201
.151
.860
Error
6356.035
94
67.617
Total
315719.000
100
Corrected Total
6471.790
99
a. R Squared = .018 (Adjusted R Squared = -.034)
Multiple Comparisons
Help
Tukey HSD
(I) Where do you live
(J) Where do you live
Mean Difference (I-J)
Std. Error
Sig.
95% Confidence Interval
Lower Bound
Upper Bound
Dorm
Apartment or House with Peers or Self
.56
1.994
.958
-4.19
5.31
Parents
-.29
2.025
.988
-5.12
4.53
Apartment or House with Peers or Self
Dorm
-.56
1.994
.958
-5.31
4.19
Parents
-.85
2.025
.907
-5.68
3.97
Parents
Dorm
.29
2.025
.988
-4.53
5.12
Apartment or House with Peers or Self
.85
2.025
.907
-3.97
5.68
Based on observed means.
The error term is Mean Square(Error) = 67.617.
Part 2—The APA Write-Up Instructions
As with previous assignments, the American Psychological Association (APA) has standards for how statistical results should be presented. While the actual word choice varies, there are several essential components that are common among all presentations of statistical results and interpretations. Use the following instructions for ALL APA write-ups required for this course:
For each analysis, use the following steps to write a complete description of results in proper APA format.
1.State what hypothesis was tested.
2.State what test was used.
3.What decision did you make? Reject the null or retain (fail to reject) the null.
4.Were the groups significantly different from each other?
5.Report the means and standard deviations for each group.
6.Put numbers in APA format:
a.General Format: symbol for the test (df)= obtained value, p> or < significance level
b.Specific for F Tests: F(2, 99)=3.98, p<.05
i.Now you need to discuss which of the mean comparisons done by the Tukey were significant. You do not need to report numbers just which groups were different from each other, if any.
7.Report Effect Size (if known)
Example:
Freshmen and Sophomores were expected to score significantly higher on a measure of depression than were Juniors and Seniors. A One-Way ANOVA was used to test the hypothesis leading to the rejection of the null hypothesis, indicating a significant difference between the means, F(3, 96)=4.61, p<.05. Tukey post-hoc tests revealed that Freshmen (M=9.65, SD=1.59) were significantly more depressed than were Juniors (M=4.59, SD=.98) and Seniors (M=5.68, SD=1.22) but not significantly different from Sophomores (M=8.95, SD=1.43). Also, Sophomores were significantly more depressed than Juniors and Seniors but not Freshman.
For the Factorial ANOVA, you will do this 3 times (one for each F test).
For help with interpreting the above outputs, see Aspelmeier & Pierce pp. 114-119
Please complete the following for assignment 10
______________________________________________________________________________________________________________________________________
ANSWER THE QUESTIONS ~
1.Older and younger females will report different levels of tangible help.
a.What is the null hypothesis tested?
2.Females who live in the dorms, females who live in apartments or houses, and females who live with their parents will report different levels of tangible help.
a.What is the null hypothesis tested?
3.Age group and where they live now will interact.
a.What is the null hypothesis tested?
Write up the results for the Factorial ANOVA and the Tukey procedures below:
Between-Subjects Factors
Value Label
N
Where do you live
1
Dorm
34
2
Apartment or House with Peers or Self
34
3
Parents
32
Younger vs. Older
1.00
47
2.00
53
Explanation / Answer
1. The null hypothesis is that age does not affect the level of tangible help
2. The females will all report the same levels of tangible help regardless of where they live
3. There will be no interaction between the age groups and where they live
Older females and younger females were expected to report different levels of help. A One-Way ANOVA was used to test the hypothesis leading to retain the null hypothesis, indicating a non-significant difference between the means, F(1, 94) =1.155,p>.05. Tukey post-hoc tests revealed that Older females (M=54.79,SD=9.367) and Younger females (M=56.34,SD=6.759) received the same help
Females who live in the dorms, females who live in apartments or houses, and females who live with their parents were expected to report different levels of tangible help. A One-Way ANOVA was used to test the hypothesis leading to retain the null hypothesis, indicating a non-significant difference between the means, F(2, 94) =0.157,p>.05. Tukey post-hoc tests revealed that females in Dorm (M=55.71,SD=6.957), females in apartments(M=55.15,SD=6.994) and females staying with parents(M=56,SD=10.236) did not have any significant differences among them.
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