Independent project , you are to collect data for your observational experiment
ID: 3126234 • Letter: I
Question
Independent project , you are to collect data for your observational experiment and perform a one-way, between-subjects ANOVA on the data using the definitional formula. You are to turn in APA style pater that includes the following:
1. Description of your research project that includes the operational definitions for your variables and your research question.
2. Description of 5-steps of hypothesis tesing.
3. An APA style statement of results including the appropriate details for the inferential statistic and appropriate descriptive statistic.
4. Interpretation of our results and any limitations you are aware of in your project (you should able to identify at least one potential confounding variable).
5. One graphic representation of your data (table or figure)
6. An ANOVA summary table. You will also turn in step by step details of the descriptive and inferential statistics as you calculated them using definitional formulas. This should be included as an appendix to the paper, or it can be hand-written if its neat and you can scan the document in order to turn in.
I need help with this project.
Explanation / Answer
Problem: Susan Sound predicts that students will learn most effectively with a constant background sound, as opposed to an unpredictable sound or no sound at all. She randomly divides twenty-four students into three groups of eight. All students study a passage of text for 30 minutes. Those in group 1 study with background sound at a constant volume in the background. Those in group 2 study with noise that changes volume periodically. Those in group 3 study with no sound at all. After studying, all students take a 10 point multiple choice test over the material. Their scores follow:
Constat sound
Random sound
No sound
7
5
2
4
5
4
6
3
7
8
4
1
6
4
2
6
7
1
2
2
5
9
2
5
Test the hypothesis at 0.05 significance of sound.
x1
x12
x2
x22
x3
x32
7
49
5
25
2
4
4
16
5
25
4
16
6
36
3
9
7
49
8
64
4
16
1
1
6
36
4
16
2
4
6
36
7
49
1
1
2
4
2
4
5
25
9
81
2
4
5
25
Sx1 = 48
Sx12 = 322
Sx2 = 32
Sx22 = 148
Sx3 = 27
Sx32 = 125
(Sx1)2 = 2304
(Sx2)2 = 1024
(Sx3)2 = 729
M1 = 6
M2 = 4
M3 = 3.375
Total sum of square(TSS)=(322+148+125)-(48+32+27)^2/24
= 595 - 477.04
TSS= 117.96
Among sum of squares=[[(2304/8)+(1024/8)+(729/8)]-477.04]]
= 507.13 - 477.04
SSamong = 30.08
SSwithin = 117.96 - 30.08 = 87.88
A NOVA TABLE
Sources of vriation
ss
df
MSS
F-ratio
Among
30.8
2
15.04
3.59
Within
87.88
21
4.18
Total
118.68
23
F-test statistics=3.59
Hypothesis:
Null hypothesis H0: Given three background sounds are homogeneous.
Null hypothesis H1: Given three background sounds are heterogeneous
Critical value at 0.05,(2,21)d.f from F-test table is 3.4668.
Conclusion: since F-test statistic(3.59)>F-critical(3.4668), so accept alternative hypothesis H1.
Interpretation: Susan can conclude that her hypothesis may be supported. The means are as she predicted, in that the constant music group has the highest score. However, the signficant F only indicates that at least two means are signficantly different from one another
Constat sound
Random sound
No sound
7
5
2
4
5
4
6
3
7
8
4
1
6
4
2
6
7
1
2
2
5
9
2
5