Question
In: Statistics and Probability
16. The following data are from an experiment comparing two treatments: Treatment 1 Treatment 2 10...
16. The following data are from an experiment comparing two treatments:
|
Treatment 1 |
Treatment 2 |
|
10 |
11 |
|
2 |
5 |
|
1 |
2 |
|
15 |
18 |
|
7 |
9 |
|
M = 7 |
M = 9 |
|
SS = 134 |
SS = 150 |
Assume that the data are from a repeated-measures experiment using the same sample of n = 5 subjects in both treatments. Calculate the difference score (D) for each subject and use the sample of difference scores to determine whether there is a significant difference between the two treatments. Again, use a two-tailed test with a = .05.
For the repeated measures analysis you did, which of the following is TRUE:
a. the t you look up is on 8 degrees of freedom
b. the t you compute is LESS than 2.776
c. the treatment's effect is significant
d. the treatment's effect is non-significant
Solutions
Expert Solution
Following table shows the calculations:
| Treatment 1, X1 | Treatment 2, X2 | d=X1-X2 | (d-mean)^2 |
| 10 | 11 | -1 | 1 |
| 2 | 5 | -3 | 1 |
| 1 | 2 | -1 | 1 |
| 15 | 18 | -3 | 1 |
| 7 | 9 | -2 | 0 |
| Total | -10 | 4 |
Correct option:
c. the treatment's effect is significant
orchestra answered 3 years agoRelated Solutions
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
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DATA SET 2 The following data were obtained from a research study comparing two treatment conditions....
DATA SET 2
The following data were obtained from a research study comparing
two treatment conditions. Analyze this data to determine whether
you will reject or fail to reject the null hypothesis based upon
your results. Two-tailed test. Alpha = .05 (Please show work)
Treatment 1
Treatment 2
10
7
8
4
7
9
9
3
13
7
7
6
6
10
12
2
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...
Data is collected from a completed randomized design for comparing two treatments A and B: A:...
Data is collected from a completed randomized design for
comparing two treatments A and B:
A: 25, 24, 22
B: 27, 30, 29
The experimenter is interested in finding out if treatment B is
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randomization test and the t-test and then make a conclusion (alpha
= 0.05)
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 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 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 are given for a two-factor ANOVA with two treatments and three blocks. Treatment...
The following data are given for a two-factor ANOVA with two
treatments and three blocks. Treatment Block 1 2 A 42 32 B 33 20 C
48 39 Using the 0.05 significance level conduct a test of
hypothesis to determine whether the block or the treatment means
differ.
State the null and alternate hypotheses for treatments.
State the decision rule for treatments. (Round your answer to 1
decimal place.)
State the null and alternate hypotheses for blocks. (Round your
answer...
The following data are given for a two-factor ANOVA with two treatments and three blocks. Treatment...
The following data are given for a two-factor ANOVA with two
treatments and three blocks.
Treatment
Block
1
2
A
46
31
B
37
26
C
44
35
Using the 0.05 significance level conduct a test of hypothesis
to determine whether the block or the treatment means differ.
a.
State the null and alternate hypotheses for treatments.
H0
(Click to select)The standard deviations are different.The
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H1
(Click to...
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