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 2 years agoRelated Solutions
The following data represent the results from an independent-measures experiment comparing three treatment conditions. Use StatCrunch...
The following data represent the results from an
independent-measures experiment comparing three treatment
conditions. Use StatCrunch to 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
8
10
12
8
7
13
8
11
11
7
8
15
9
9
14
F-ratio =
p-value =
Conclusion: Which of these two is correct?
A. There is a significant difference between...
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
5
4
13
5
5
7
5
9
10
6
6
11
4
6
9
F-ratio =
p-value =
Conclusion:
These data do not provide evidence of a difference between the
treatments
There is a significant...
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 = ______________
Conclusion:
___These data do not provide evidence of a difference between
the treatments
___There is...
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 =
Conclusion:
These data do not provide evidence of a difference between the
treatments
There is...
The following data represent the results of an independent-measures study comparing two treatment conditions. Treatment One...
The following data represent the results of an
independent-measures study comparing two treatment conditions.
Treatment
One
Treatment
Two
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
Run the single-factor ANOVA for this data:
F-ratio:
p-value:
Now, run the t test on the same data:
t-statistic:
p-value:
1) The following data represent the results from an independent-measures study comparing two treatment conditions. Treatment...
1) The following data represent the results from an
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
Run the single-factor ANOVA for this data:
F-ratio:
p-value:
Now, run the t test on the same data:
t-statistic:
p-value:
2) Google Sheets can be used to find the critical value for an F
distribution for a given significance level. For example, to find
the critical value...
The following data represent the results from an independent-measures study comparing two treatment conditions. Treatment One...
The following data represent the results from an
independent-measures study comparing two treatment conditions.
Treatment
One
Treatment
Two
2.5
1.7
3.9
4.5
4.3
3.2
4.6
2.9
2.9
3.2
5.1
3.8
4.2
2.3
Using technology, run the One-way ANOVA Test for this data:
F-ratio:
p-value:
Now, run the Two Independent Sample t test on the same
data:
Note: Do this with "pooled variances" since one assumption we
make with ANOVA is that the variances for each group are
equal.
t-statistic:
p-value:
The data below are from an independent-measures experiment comparing three different treatment conditions on number of...
The data below are from an independent-measures experiment
comparing three different treatment conditions on number of panic
attacks. (10 POINTS)
CBT
Psychotherapy
Placebo
1
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
T = 21
SS = 3.5
SS = 4
SS = 3.5
1) State the null hypothesis
2) calculate necessary statistics using an alpha of .05
3)...
The following table shows the results of a repeated-measures analysis of variance comparing two treatment conditions...
The following table shows the results of a repeated-measures
analysis of variance comparing two treatment conditions with a
sample of n = 12 participants. Note that several values are missing
in the table. What is the missing value for SStotal?
Source
SS
df
MS
Between
xx
xx
12
F = 4.00
Within
xx
xx
Bet. Sub.
35
xx
Error
xx
xx
xx
Total
xx
xx
45
47
80
148
The following data were obtained from an independent-measures research study comparing three treatment conditions. I II...
The following data were obtained from an independent-measures
research study comparing three treatment conditions.
I
II
III
n = 6
n = 4
n =
4
M = 2
M = 2.5
M = 5
N = 14
T = 12
T = 10
T = 20
G = 42
SS = 14
SS = 9
SS = 10
ΣX2tot = 182
Use an ANOVA with α = .05 to determine whether there are any
significant mean differences among the...
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