The researchers think that age group (older and younger created in Assignment 8)
ID: 3183126 • Letter: T
Question
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 conclusion
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
c. 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)
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. State what hypothesis was tested.
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.
2. State what test was used.
F-test, Tukey HSD teat and Levene's Test of Equality was used.
3. What decision did you make? Reject the null or retain (fail to reject) the null?
1. Older and younger females will report different levels of tangible help. - F-stat is 1.155 and the p-value is 0.285 which is greater than 0.05, so we fail to reject the null hypothesis.
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. F-stat is .157 and the p-value is 0.855 which is greater than 0.05, so we fail to reject the null hypothesis.
3. Age group and where they live now will interact. F-stat is .151 and the p-value is 0.860 which is greater than 0.05, so we fail to reject the null hypothesis.
4. Were the groups significantly different from each other? - As p-value < 0.05, we fail to reject the null hypothesis and the groups are not significantly different from each other
5. Report the means and standard deviations for each group.
For Living in Dorm and Age group Younger, mean = 54.92, Std deviation = 7.259
For Living in Dorm and Age group older, mean = 57.60, Std deviation = 6.096
For Living in Apartment or House and Age group Younger, mean = 54.78, Std deviation = 5.357
For Living in Apartment or House and Age group older, mean = 55.28, Std deviation = 7.591
For Living with Parents and Age group Younger, mean = 54.57, Std deviation = 14.124
For Living with Parents and Age group older, mean = 57.11, Std deviation = 5.960
6. Put numbers in APA format:
a. General Format: symbol for the test (df)= obtained value, p> or < significance level
For Corrected Model, df = 5 and p (.886) > significance level(0.05)
For, Whlive, df= 2 and p (.855) > significance level(0.05)
For, Agegrp, df= 1 and p (.285) > significance level(0.05)
For whlive * agegrp, df= 2 and p (.86) > significance level(0.05)
b. Specific for F Tests: F(2, 99)=3.98, p<.05
For Corrected Model, F(2,94)=0.342, p>0.05
For, Whlive, F(2,94)=0.157, p>0.05
For, Agegrp, F(1,94)=1.155, p>0.05
For whlive * agegrp, F(2,94)=0.151, p>0.05
c. 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.
The simultaneous pairwise comparisons indicate that the differences of means are not significantly different from 0 as their confidence intervals include 0.
7. Report Effect Size (if known)
SD(pooled) = sqrt(sqr(SD1) + sqr(SD2)/2) = sqrt(sqr(9.367) + sqr(6.759)/ 2) = 8.167
Cohen's d effect size = Mean2 - Mean1 / SD(pooled)
= (56.34-54.79) / 8.167 = 0.1897