Question
In: Statistics and Probability
The following data were obtained in a study using three separate samples to compare three different...
The following data were obtained in a study using three separate samples to compare three different treatments. 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 |
|---|---|---|
| 14 | 10 | 13 |
| 13 | 12 | 15 |
| 12 | 12 | 17 |
| 13 | 10 | 15 |
F-ratio =
p-value =
Conclusion:
- These data do not provide evidence of a difference between the treatments
- There is a significant difference between treatments
η2=η2=
The above data was changed by increasing the variance within
each sample (note below how the data sets have changed).
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 |
|---|---|---|
| 15 | 9 | 12 |
| 13 | 12 | 15 |
| 11 | 13 | 18 |
| 13 | 10 | 15 |
F-ratio =
p-value =
Conclusion:
- These data do not provide evidence of a difference between the treatments
- There is a significant difference between treatments
η2=η2=
Solutions
orchestra answered 1 year agoRelated Solutions
The following data were obtained in a study using three separate samples to compare three different...
The following data were obtained in a study using three separate
samples to compare three different treatments. 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
6
4
11
8
6
9
7
6
9
7
4
7
F-ratio =
p-value =
Conclusion:
These data do not provide evidence of a difference between the
treatments
There is a significant...
The following data were obtained in a study using three separate samples to compare three different...
The following data were obtained in a study using three separate
samples to compare three different treatments. 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
21
22
23
19
24
21
19
24
22
21
26
F-ratio =
p-value =
Conclusion:
There is a significant difference between treatments
These data do not provide evidence of a difference...
The following data were obtained in a study using three separate samples to compare three different...
The following data were obtained in a study using three separate
samples to compare three different treatments. Conduct an analysis
of variance with α=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
9
5
12
8
7
10
7
7
10
8
5
8
F-ratio =____________________
p-value =__________________
Conclusion:
__These data do not provide evidence of a difference between
the treatments
__There is a significant...
The following data were obtained in a study using three separate samples to compare three different...
The following data were obtained in a study using three separate
samples to compare three different treatments.
Treatment 1
Treatment 2
Treatment 3
4
3
8
3
1
4
5
4
3
1
6
6
M = 4
M = 2
M = 6
SS = 2
SS = 4
SS = 8
a. State the null and alternative hypotheses.
b. Fill in the ANOVA table below.
Source
SS
df
MS
F
Between treatments
Within treatments
Total
c. If α...
The following data were obtained from a study using two separate toothpastes. You used them on...
The following data were obtained from a study using two separate
toothpastes. You used them on the last homework in R. Now you will
work with them to compute the ANOVA by hand. Subjects in group I
received a fluoride-supplemented toothpaste for one year while
those in group II used one without added fluoride. At the end of
the trial period the number of cavities needing to be filled was
used as the dependant variable. A) Compute an analysis of...
1. The following data were obtained from 3 separate enzyme kinetic experiments using 3 different substrates...
1. The following data were obtained from 3 separate
enzyme kinetic experiments using 3 different substrates S1, S2 and
S3 forming products P1, P2 and P3 respectively. The amount of
enzyme in each reaction is 1 µM. Find out the rate and graph the
data using a Michaelis-Menton and Lineweaver-Burk plots and
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the 3 substrate is best substrate for this enzyme and why? (4
points)
[S] (mM) [P1] (mM)...
In a study of obesity the following results were obtained from samples of males and females...
In a study of obesity the following results were obtained from
samples of males and females between the ages of 20 and 75:
n Number OverweightMales 150 21
Females 200 48
Can we conclude from these data that in the sampled populations
there is a difference in the
proportions who are overweight? Let a = .05.
The following data was obtained from two independent samples for which sigma was unknown; they were...
The following data was obtained from two independent samples for
which sigma was unknown; they were selected from two normally
distributed populations.
Sample 1: 27, 39, 25, 33, 21, 35, 30, 26, 25, 31, 35, 30, 28
Sample 2: 24, 28, 23, 25, 24, 22, 29, 26, 29, 28, 19, 29
What is the point estimate for μ1- μ2?
Construct a 98% confidence interval for μ1- μ2.
Test at the 1% significance level whether the population mean
for the first...
The following data represent samples that were taken on 10 separate days. Each day has a...
The following data represent samples that were taken on 10
separate days. Each day has a varying sample size and the number of
defects for the items sampled is listed. We want to see if this
process is consistent and in control.
Day
Sample Size
Defects
1
110
6
2
112
3
3
195
8
4
185
6
5
245
10
6
250
7
7
100
5
8
170
7
9
250
20
10
270
25
a. Find the...
The following data represent samples that were taken on 10 separate days. Each day has a...
The following data represent samples that were taken on 10
separate days. Each day has a varying sample size and the number of
defects for the items sampled is listed. We want to see if this
process is consistent and in control.
Day
Sample Size
Defects
1
100
6
2
110
4
3
190
10
4
190
7
5
240
15
6
255
8
7
105
3
8
175
6
9
245
22
10
265
27
a. Find the UCL....
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