Can I have a step by step solution with the formulas please.. 22. The following
ID: 3364787 • Letter: C
Question
Can I have a step by step solution with the formulas please.. 22. The following data are representative of many stud- ies examining the relationship between arousal and performance. The general result of these studies is that increasing the level of arousal (or motivation) tends to improve the level of performance. (You probably have tried to "psych yourself up" to do wel on a task.) For very difficult tasks, however, increas- ing arousal beyond a certain point tends to lower the level of performance. (Your friends have probably advised you to "calm down and stay focused" when you get overanxious about doing well.) This relation- ship between arousal and performance is known as the Yerkes-Dodson law. a. Use a two-factor ANOVA with .05 to evalu- ate the significance of the main effects and the interaction. for the two main effects of arousal (motivation) affect performance? b. Calculate the values to measure the effect size c. Describe the pattern of results. How does the levelExplanation / Answer
Result:
Two factor ANOVA
Factor B
Means:
low
medium
high
easy
3.0
5.0
10.0
6.0
Factor A
Difficult
1.0
3.0
2.0
2.0
2.0
4.0
6.0
4.0
5
replications per cell
ANOVA table
Source
SS
df
MS
F
p-value
Between treatments
260.00
5
Factor A
120.00
1
120.000
24.00
.0001
Factor B
80.00
2
40.000
8.00
.0022
Interaction
60.00
2
30.000
6.00
.0077
Error
120.00
24
5.000
Total
380.00
29
a).
To test the difference between task difficulty, calculated F=24.0, P=0.0001 which is < 0.05 level. Ho is rejected. The effect is significant.
To test the difference between arousal level, calculated F=8.0, P=0.0022 which is < 0.05 level. Ho is rejected. The effect is significant.
To test the interaction effect, calculated F=6.0, P=0.0077 which is <0.05 level. Ho is rejected. The interaction is significant.
b).
effect size for task difficulty = 120/(120+120) =0.5
effect size for arousal level = 80/(80+120) =0.4
c).
There are significant main and interaction effects. Higher the arousal level, higher the performance.
Two factor ANOVA
Factor B
Means:
low
medium
high
easy
3.0
5.0
10.0
6.0
Factor A
Difficult
1.0
3.0
2.0
2.0
2.0
4.0
6.0
4.0
5
replications per cell
ANOVA table
Source
SS
df
MS
F
p-value
Between treatments
260.00
5
Factor A
120.00
1
120.000
24.00
.0001
Factor B
80.00
2
40.000
8.00
.0022
Interaction
60.00
2
30.000
6.00
.0077
Error
120.00
24
5.000
Total
380.00
29
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