Question
In: Math
(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 for by the mean differences, to measure the size of the treatment effects. Be sure to show all formulas with symbols (and plug in numbers), steps, processes and calculations for all parts of all answers.Treatment I II III P-totals Person A 7 7 8 P= B 5 3 3 P= C 1 1 3 P= D 3 1 2 P= M= M= M= N= T= T= T= G= SS= SS= SS= Ex2=
Solutions
Expert Solution
a) From the given data
| Person | ||||||||
| Treatment | A | B | C | D | Ti. | SS | Ti.^2/n | Mean |
| I | 7 | 5 | 1 | 3 | 16 | 20 | 64 | 4 |
| II | 7 | 3 | 1 | 1 | 12 | 24 | 36 | 3 |
| III | 8 | 3 | 3 | 2 | 16 | 22 | 64 | 4 |
| Total Pj | 22 | 11 | 5 | 6 | 44 | 66 | 164 | |
| Pj^2 /k | 161.3333333 | 40.33333 | 8.333333 | 12 | 222 | |||
| Anova Table | Alpha = | 0.05 | ||||
| Source | df | SS | MSS | Var. Ratio F | F-critic | P-Value |
| B/w groups | 2 | 2.666667 | 1.333333 | 1.5 | 5.143253 | 0.296296 |
| Within Group | 9 | 66 | ||||
| i) B/w Subject | 3 | 60.66667 | ||||
| ii) Error | 6 | 5.333333 | 0.888889 | |||
| Total: | 11 | 68.66667 |
Since P-value > alpha 0.05 so we accept H0
Thus we conclude that there is no significance difference among the 3 treatments
b)
milcah answered 3 months agoRelated Solutions
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...
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...
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:
1) The following data were collected from a repeated-measures study investigating the effects of 4 treatment...
1) The following data were collected from a repeated-measures
study investigating the effects of 4 treatment conditions on test
performance. Determine if there are any significant differences
among the four treatments. State the null hypothesis. If you
determine a significant treatment effect, use Tukey’s HSD test
(overall α = .05) to determine which treatments differ from which
other treatments. Also, compute the percentage of variance
explained by the treatment effect (η2). Conclude with an
appropriate summary describing what you found....
The following data are from a repeated-measures study examining the effect of a treatment by measuring...
The following data are from a repeated-measures study examining
the effect of a treatment by measuring a group of n=5 participants
before and after they receive the treatment.
A.) calculate the difference scores and MD
B.) compute SS, sample variance, and estimated standard
error.
C.) is there a significant treatment effect? Use Alpha=0.05
Participant Before Treatment After Treatment
A 8 7
B 7 5
C 6 6
D 7 6
E 9 7
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...
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