Question
In: Statistics and Probability
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 treatments.
a)The null hypothesis in words is
b)The alternative hypothesis in symbols is:
c)The Critical F-value is:
d)The F-statistic is:
e)Your decision is
Solutions
orchestra answered 1 year agoRelated Solutions
(Chapter 14) The following data were obtained from a repeated-measures study comparing three treatment conditions. a....
(Chapter 14) The following data were obtained from a
repeated-measures study comparing three treatment conditions.
a. Use a repeated measures ANOVA with α=.05 to determine whether
there are significant mean differences among the three treatments.
(Hint: start by filling in the missing values on the table below).
Be sure to show all formulas with symbols (and plug in numbers),
steps, processes and calculations for all steps and all parts of
all answers.
b. Compute n2, the percentage of variance
accounted...
The following data were obtained from a repeated-measures study comparing 3 treatment conditions. Use a repeated-measures...
The following data were obtained from a repeated-measures study
comparing 3 treatment conditions. Use a repeated-measures ANOVA
with a=.05 to determine whether there are significant mean
differences among the three treatments (do all 4 steps of
conducting a hypothesis test!!):
Person
Treatment 1
Treatment 2
Treatment 3
Person Totals
A
0
2
4
P=6
N=15
B
0
3
6
P=9
G=60
C
3
7
8
P=18
D
0
7
5
P=12
E
2
6
7
P=15
M=1
M=5
M=6
T=5...
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
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 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 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 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...
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