SPSS Assignment
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 (AnalyzeàCompare MeansàMeans) to compare the means of the three Sound conditions on Anxiety and Performance.
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Report
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Type of background music during the test
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Performance on a test of general math ability
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Anxiety level during the test
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Prior math experience
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Rock
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Mean
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60.0000
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36.5385
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1.5385
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N
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13
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13
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13
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Std. Deviation
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7.70281
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7.21821
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.51887
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Classical
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Mean
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67.7143
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36.5000
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1.5000
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N
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14
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14
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14
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Std. Deviation
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7.01020
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4.65337
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.51887
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White Noise
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Mean
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59.1429
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37.7143
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1.5714
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N
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14
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14
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14
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Std. Deviation
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10.22709
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5.41264
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.51355
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Total
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Mean
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62.3415
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36.9268
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1.5366
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N
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41
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41
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41
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Std. Deviation
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9.12307
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5.70259
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.50485
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2b) Based on these results, on which variable does it most appear there might be significant differences based on theSound 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
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Anxiety level during the test
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Sum of Squares
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df
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Mean Square
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F
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Sig.
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Between Groups
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13.193
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2
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6.596
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.195
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.824
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Within Groups
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1287.588
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38
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33.884
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Total
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1300.780
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40
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ANOVA
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Performance on a test of general math ability
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Sum of Squares
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df
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Mean Square
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F
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Sig.
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Between Groups
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618.648
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2
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309.324
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4.336
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.020
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Within Groups
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2710.571
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38
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71.331
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Total
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3329.220
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40
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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:
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Tests of Between-Subjects Effects
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Dependent Variable: Performance on a test of general math ability
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Source
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Type III Sum of Squares
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df
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Mean Square
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F
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Sig.
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Corrected Model
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2155.464a
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5
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431.093
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12.855
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.000
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Intercept
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160268.014
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1
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160268.014
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4779.001
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.000
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Sound
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492.240
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2
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246.120
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7.339
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.002
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Experience
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1324.027
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1
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1324.027
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39.481
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.000
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Sound * Experience
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231.822
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2
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115.911
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3.456
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.043
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Error
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1173.756
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35
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33.536
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Total
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162674.000
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41
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Corrected Total
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3329.220
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40
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a. R Squared = .647 (Adjusted R Squared = .597)
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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.