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2

>PSY

5

20 SPSS Assignment 2

Questions:

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1

) Describe in your own words what type of research situations call for a researcher to use an A

N

OVA 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

Mean

s 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

.000

0

36.5

38

5

1.5385

N

13

13

13

Std. Deviation

7.70281

7.21821

.51887

Classical

Mean

67.7

14

3

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.

41

264

.51

35

5

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.

Total

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

1300.780

40

ANOVA

Sum of Squares

df

Mean Square

F

Sig.

Between Groups

2

Within Groups

38

Total

40

Performance on a test of general math ability

618.648

309.324

4.336

.020

2710.571

71.331

3329.220

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:

df

Mean Square

F

Sig.

160268.014

.000

2

1

1324.027

.000

2

Total

41

3329.220

40

Tests of Between-Subjects Effects

Dependent Variable: Performance on a test of general math ability

Source

Type III Sum of Squares

Corrected Model

2155.464a

5

431.093

12.855

.000

Intercept

160268.014

1

4779.001

Sound

492.240

246.120

7.339

.002

Experience

1324.027

39.481

Sound * Experience

231.822

115.911

3.456

.043

Error

1173.756

35

33.536

162674.000

Corrected Total

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.

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