Question
In: Statistics and Probability
The following data represent the results of an independent-measures experiment comparing three treatment conditions. Use analysis...
The following data represent the results of an independent-measures experiment comparing three treatment conditions. Use analysis of variance with = .05 to determine whether these data are sufficient to conclude that there are significant differences between the treatments. (Hint: start by filling in the missing values on the table below). Please show all formulas with symbols (and plugin numbers), steps, processes, and calculations for all steps and all parts of all answers.
| Treatment 1 | Treatment 2 | Treatment 3 | |
| 4 | 7 | 6 | |
| 6 | 5 | 12 | |
| 4 | 3 | 12 | |
| 2 | 5 | 6 | N = 12 |
| M = 4 | M = 5 | M = 9 | G = |
| SS = | SS = | SS = | Ex2 = |
Solutions
Expert Solution
The following table is obtained:
| Group 1 | Group 2 | Group 3 | |
| 4 | 7 | 6 | |
| 6 | 5 | 12 | |
| 4 | 3 | 12 | |
| 2 | 5 | 6 | |
| Sum = | 16 | 20 | 36 |
| Average = | 4 | 5 | 9 |
| ∑iXij2= | 72 | 108 | 360 |
| St. Dev. = | 1.633 | 1.633 | 3.464 |
| SS = | 8 | 8 | 36 |
| n = | 4 | 4 | 4 |
G = ( 4 + 5 + 9 ) / 3 = 6
Conclusion
It is concluded that the null hypothesis Ho is rejected. Therefore, there is enough evidence to claim that not all 3 population means are equal, at the α=0.05 significance level.
orchestra answered 1 year agoRelated Solutions
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The following data represent the results from an
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Treatment B
Treatment C
8
10
12
8
7
13
8
11
11
7
8
15
9
9
14
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independent-measures experiment comparing three treatment
conditions. Conduct an analysis of variance with α=0.05α=0.05 to
determine whether these data are sufficient to conclude that there
are significant differences between the treatments.
Treatment A
Treatment B
Treatment C
5
4
13
5
5
7
5
9
10
6
6
11
4
6
9
F-ratio =
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The following data represent the results from an independent-measures experiment comparing three treatment conditions. Conduct an...
The following data represent the results from an
independent-measures experiment comparing three treatment
conditions. Conduct an analysis of variance with α=0.05α=0.05 to
determine whether these data are sufficient to conclude that there
are significant differences between the treatments.
Treatment A
Treatment B
Treatment C
22
24
26
20
21
24
21
23
27
22
22
28
20
20
25
F-ratio = _______________
p-value = ______________
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The following data represent the results from an independent-measures experiment comparing three treatment conditions with n=4n=4...
The following data represent the results from an
independent-measures experiment comparing three treatment
conditions with n=4n=4 in each sample. Conduct an analysis of
variance with α=0.05α=0.05 to determine whether these data are
sufficient to conclude that there are significant differences
between the treatments.
Treatment A
Treatment B
Treatment C
7
4
6
7
6
5
3
6
8
3
8
9
F-ratio =
p-value =
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One
Treatment
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3.3
2.6
5
4.4
3.6
3.3
5.4
6
6.2
2.8
5.4
5.1
4.3
2.6
4.6
2.5
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F-ratio:
p-value:
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1) The following data represent the results from an independent-measures study comparing two treatment conditions. Treatment...
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independent-measures study comparing two treatment conditions.
Treatment
One
Treatment
Two
3
3.1
4.5
4.5
4.8
4.5
4.5
3.9
6.5
3.9
4.3
3.8
3.7
3.4
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F-ratio:
p-value:
Now, run the t test on the same data:
t-statistic:
p-value:
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1.7
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4.5
4.3
3.2
4.6
2.9
2.9
3.2
5.1
3.8
4.2
2.3
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F-ratio:
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2
4
1
3
2
G = 42
2
1
4
SX2 = 122
3
3
3
1
2
4
1
1
4
T = 9
T = 12
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SS = 4
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1) State the null hypothesis
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The following table shows the results of a repeated-measures analysis of variance comparing two treatment conditions...
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SS
df
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xx
xx
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xx
xx
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xx
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xx
xx
xx
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xx
xx
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47
80
148
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III
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