Question
In: Statistics and Probability
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 a significant difference between treatments
The results obtained above were primarily due to the mean for
the third treatment being noticeably different from the other two
sample means. For the following data, the scores are the same as
above except that the difference between treatments was reduced by
moving the third treatment closer to the other two samples. In
particular, 3 points have been subtracted from each score in the
third sample.
Before you begin the calculation, predict how the changes in the
data should influence the outcome of the analysis. That is, how
will the F-ratio for these data compare with the
F-ratio from above?
| Treatment A | Treatment B | Treatment C |
|---|---|---|
| 22 | 24 | 23 |
| 20 | 21 | 21 |
| 21 | 23 | 24 |
| 22 | 22 | 25 |
| 20 | 20 | 22 |
F-ratio = ________
p-value = _______
Conclusion:
- ______These data do not provide evidence of a difference between the treatments
- ______There is a significant difference between treatments
Solutions
Expert Solution
1)
F-ratio = 17.5
p-value = 0.0003
Conclusion:There is a significant difference between
treatments
2)
F-ratio = 2.5
p-value = 0.1237
Conclusion: These data do not provide evidence of
a difference between the treatments
orchestra answered 2 years agoRelated Solutions
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. 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 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...
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...
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 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:
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 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...
The following scores are from an independent-measures study comparing two treatment conditions. (Be sure to include...
The following scores are from an independent-measures study
comparing two treatment conditions. (Be sure to include
your critical values)
a. Use an independent -measures t-test with a = 0.05 to
determine whether there is a significant mean difference between
the two treatments.
b. Use an ANOVA with a = 0.05 to determine whether there is a
significant mean difference between the two treatments. You should
find that F = t2.
Treatment I Treatment II
10
7
n=16
8
4
g=120...
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