Question
In: Statistics and Probability
Answer the within-subjects ANOVA questions using the data below. Use α = 0.01. 1 2 3...
Answer the within-subjects ANOVA questions using the data below.
Use α = 0.01.
| 1 | 2 | 3 | 4 |
|---|---|---|---|
| 53 49 47 42 51 39 44 |
44 39 36 34 39 30 29 |
46 42 39 37 36 34 26 |
44 35 30 27 33 28 31 |
Compute the corresponding effect size(s) and indicate
magnitude(s).
η2 = ; ---Select--- na
trivial effect small effect medium effect large effect
Conduct Scheffe's Post Hoc Test for the following
comparisons:
1 vs. 4: test statistic = ;
significant: ---Select--- Yes No
2 vs. 3: test statistic = ;
significant: ---Select--- Yes No
Solutions
Expert Solution
Anova: Single Factor
| SUMMARY | ||||
| Groups | Count | Sum | Average | Variance |
| 1 | 7 | 325 | 46.42857 | 25.28571 |
| 2 | 7 | 251 | 35.85714 | 28.47619 |
| 3 | 7 | 260 | 37.14286 | 40.14286 |
| 4 | 7 | 228 | 32.57143 | 32.95238 |
| ANOVA | ||||||
| Source of Variation | SS | df | MS | F | P-value | F crit |
| Between Groups | 740.8571 | 3 | 246.9524 | 7.786787 | 0.000843 | 4.718051 |
| Within Groups | 761.1429 | 24 | 31.71429 | |||
| Total | 1502 | 27 |
effect size = (SSbetween groups) / (SSTotal) = 740.8571/ 1502 = 0.493, effect size is large.
Scheffe's Post Hoc Test
| treatments pair | Scheffé T -statistic | Scheffé p-value | Scheffé inferfence |
| 1 vs 2 | 3.5119 | 0.017341 | * p<0.05 |
| 1 vs 3 | 3.0848 | 0.042538 | * p<0.05 |
| 1 vs 4 | 4.6034 | 0.001447 | ** p<0.01 |
|
2 vs 3 |
0.4271 | 0.979901 | insignificant |
| 2 vs 4 | 1.0915 | 0.756237 | insignificant |
| 3 vs 4 | 1.5187 | 0.522777 | insignificant |
1 vs. 4: test statistic = 4.6034 ; significant:Yes
2 vs. 3: test statistic = 0.4271 ;
significant: No
orchestra answered 2 years agoRelated Solutions
Answer the within-subjects ANOVA questions using the data below. Use α = 0.01. 1 2 3...
Answer the within-subjects ANOVA questions using the data below.
Use α = 0.01.
1
2
3
4
53
49
47
42
51
39
44
44
39
36
34
39
30
29
46
42
39
37
36
34
26
44
35
30
27
33
28
31
Make an interpretation based on the results.
At least one week differs on the GRE verbal score.No week is
different on GRE verbal score.
e) Conduct Tukey's Post Hoc Test for the following
comparisons:
1...
Answer the within-subjects ANOVA questions using the data below. Use α = 0.05. 1 2 3...
Answer the within-subjects ANOVA questions using the data below.
Use α = 0.05.
1
2
3
4
53
26
47
42
51
34
44
44
39
35
34
39
30
12
42
42
39
37
36
34
47
25
35
30
27
24
28
31
a) Compute the preliminary statistics below.
SSBG = ; dfBG =
SSBS = ; dfBS =
SSE = ; dfE =
SST = ; dfT =
b) Compute the appropriate test statistic(s) to
make a decision about H0.
critical...
Answer the within-subjects ANOVA questions using the data below. Use α = 0.05. 1 2 3...
Answer the within-subjects ANOVA questions using the data below.
Use α = 0.05.
1
2
3
4
53
49
47
37
51
34
44
44
39
36
34
39
30
34
23
42
39
37
36
34
47
25
35
34
27
33
28
31
a) Compute the corresponding effect size(s) and
indicate magnitude(s).
η2 = ; ---Select--- na trivial
effect small effect medium effect large effect
b) Make an interpretation based on the
results.
At least one week differs on the...
Answer the within-subjects ANOVA questions using the data below. Use α = 0.05. 1 2 3...
Answer the within-subjects ANOVA questions using the data below.
Use α = 0.05.
1
2
3
4
53
49
21
42
51
34
44
44
31
36
34
39
30
12
46
42
46
37
36
34
47
25
31
30
27
33
28
31
a) Compute the preliminary statistics
below.
SSBG = _________ ; dfBG = __________
SSBS = _________ ; dfBS = ___________
SSE = __________ ; dfE = ___________
SST = __________ ; dfT = ___________
b)...
Answer the within-subjects ANOVA questions using the data below. Use α = 0.05. 1 2 3...
Answer the within-subjects ANOVA questions using the data below.
Use α = 0.05.
1
2
3
4
53
49
38
42
51
34
44
44
29
36
34
39
30
12
46
37
39
37
36
34
47
25
22
30
27
33
28
31
a) Compute the preliminary statistics below.
SSBG = ; dfBG =
SSBS = ; dfBS =
SSE = ; dfE =
SST = ; dfT =
b) Compute the appropriate test statistic(s) to
make a decision about H0.
critical...
Answer the one-way ANOVA questions using the data below. Use α = 0.01. 1 2 3...
Answer the one-way ANOVA questions using the data below. Use α =
0.01.
1
2
3
4
53
49
47
44
51
34
44
44
39
36
36
39
30
12
46
42
39
37
36
34
30
25
35
30
40
33
28
31
a) Compute the preliminary statistics below.
SSBG = ; dfBG
=
SSWG = ; dfWG
=
SST = ; dfT =
b) Compute the appropriate test statistic(s) to
make a decision about H0.
critical value = ; test statistic...
Answer the one-way ANOVA questions using the data below. Use α = 0.01. 1 2 3...
Answer the one-way ANOVA questions using the data below. Use α =
0.01.
1
2
3
4
53
49
47
42
48
34
44
44
39
36
34
24
30
12
46
42
39
43
36
34
47
25
35
30
27
33
28
22
b) Compute the appropriate test statistic(s) to
make a decision about H0.
critical value = ___________ ; test statistic = _____________
Decision: ---Select--- Reject H0 Fail to reject
H0
e) Regardless of the H0
decision in...
Answer the one-way ANOVA questions using the data below. Use α = 0.01. 1 2 3...
Answer the one-way ANOVA questions using the data below. Use α =
0.01.
1
2
3
4
53
49
47
42
48
34
44
44
39
36
34
24
30
12
46
42
39
43
36
34
47
25
35
30
27
33
28
22
a) Compute the preliminary statistics below.
SSBG = ; dfBG =
SSWG = ; dfWG =
SST = ; dfT =
b) Compute the appropriate test statistic(s) to
make a decision about H0.
critical value = ____________ ;...
Answer the one-way ANOVA questions using the data below. Use α = 0.01. 1 2 3...
Answer the one-way ANOVA questions using the data below. Use α =
0.01.
1
2
3
4
53
49
46
42
51
34
44
44
39
36
34
23
30
12
46
42
39
37
43
34
47
25
32
30
27
33
28
31
a) Compute the preliminary statistics below.
SSBG = ; dfBG
=
SSWG = ; dfWG
=
SST = ; dfT =
b) Compute the appropriate test statistic(s) to
make a decision about H0.
critical value = ; test statistic...
Answer the one-way ANOVA questions using the data below. Use α = 0.01. 1 2 3...
Answer the one-way ANOVA questions using the data below. Use α =
0.01.
1
2
3
4
53
49
47
44
51
34
44
44
39
36
36
39
30
12
46
42
39
37
36
34
30
25
35
30
40
33
28
31
Compute the corresponding effect size(s) and indicate
magnitude(s).
η2 = ; ---Select--- na
trivial effect small effect medium effect large effect
Conduct Tukey's Post Hoc Test for the following
comparisons:
3 vs. 4: difference = ;
significant: ---Select--- Yes...
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