PSY 520 SPSS Assignment 2
Questions:
1) Describe in your own words what type of research situations call for a researcher to use an ANOVA analysis.
Type answer below:
The one-way analysis of variance (ANOVA) is utilized to figure out if there are any noteworthy contrasts between the method for three or more autonomous (disconnected) bunches.
2a) Use the Compare Means function (AnalyzeCompare MeansMeans) to compare the means of the three Sound conditions on Anxiety and Performance.
Report
Type of background music during the test
Performance on a test of general math ability
Anxiety level during the test
Prior math experience
Rock
Mean
60.0000
36.5385
1.5385
N
13
13
13
Std. Deviation
7.70281
7.21821
.51887
Classical
Mean
67.7143
36.5000
1.5000
N
14
14
14
Std. Deviation
7.01020
4.65337
.51887
White Noise
Mean
59.1429
37.7143
1.5714
N
14
14
14
Std. Deviation
10.22709
5.41264
.51355
Total
Mean
62.3415
36.9268
1.5366
N
41
41
41
Std. Deviation
9.12307
5.70259
.50485
2b) Based on these results, on which variable does it most appear there might be significant differences based on the Sound condition?
Type answer below:
The variable that appears to be significantly different based on sound condition would be performance.
3a) Conduct a one-way ANOVA on both Anxiety and Performance using Sound as the independent variable. That is, conduct two separate one-way ANOVAs, one with Anxiety as the dependent variable and one with Performance as the dependent variable.
ANOVA
Anxiety level during the test
Sum of Squares
df
Mean Square
F
Sig.
Between Groups
13.193
2
6.596
.195
.824
Within Groups
1287.588
38
33.884
Total
1300.780
40
ANOVA
Performance on a test of general math ability
Sum of Squares
df
Mean Square
F
Sig.
Between Groups
618.648
2
309.324
4.336
.020
Within Groups
2710.571
38
71.331
Total
3329.220
40
3b) Based on these results, were either of your ANOVAs significant? How can you tell? Use a cutoff level of .05 for your decision.
Type your answer below:
Based on the results there is a significant in the ANOVA with performance. I can tell this because I used the significant cutoff level of 0.05 and the significant level of performance was 0.020.
4a) Remember that in a one-way ANOVA, we are only looking at the impact of one variable on the dependent variable. Factorial ANOVAs, on the other hand, assess the impact of multiple independent variables. Conduct a factorial ANOVA on Performance using both Sound and Experience as independent variables. Be sure to choose the option to view the estimated marginal means for all of your main effects and interactions—this will allow you to more easily interpret the results.
Paste your output for only the Test of Between-Subjects Effects below:
Tests of Between-Subjects Effects
Dependent Variable: Performance on a test of general math ability
Source
Type III Sum of Squares
df
Mean Square
F
Sig.
Corrected Model
2155.464a
5
431.093
12.855
.000
Intercept
160268.014
1
160268.014
4779.001
.000
Sound
492.240
2
246.120
7.339
.002
Experience
1324.027
1
1324.027
39.481
.000
Sound * Experience
231.822
2
115.911
3.456
.043
Error
1173.756
35
33.536
Total
162674.000
41
Corrected Total
3329.220
40
a. R Squared = .647 (Adjusted R Squared = .597)
4b) Write the results of the ANOVA. For help, refer to the third paragraph of the “Two-factor ANOVA” section of this document.
Type answer below:
A 2 x 2 ANOVA revealed a significant in sound F(2,35) =7.34, p <. 002. Female faces were rated as more attractive than male faces. There was a significant interaction between sound times experience F(2,35) = 3.46, p <. 043.