Question
In: Statistics and Probability
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 variance (ANOVA) with = 0.05 determine whether the data indicate a significant difference between the two treatments. To do this you will need to compute the sum of squares (SS) between groups and the SS within groups on your way to computing the F-ratio. (Be sure to show your work.) B) Assemble your ANOVA calculations into the standard ANOVA table and type it below. C) Compute a t-test for independent groups with = 0.05 determine whether the data indicate a significant difference between the two treatments. C) Check that your results confirm the general relationship between F-ratio (ANOVA) and the t-statistic. Comparing your F-ratio from part a to your t-statistic from part b you should find that F = t2. Why is this so?
|
Treatments |
||
|
I (fluoride) |
II (no fluoride) |
|
|
0 |
10 |
|
|
1 |
4 |
|
|
7 |
10 |
|
|
4 |
4 |
|
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=0.05α=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...
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...
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
determine the values for Km, Vmax, Kcat, and Kcat/Km. Which among
the 3 substrate is best substrate for this enzyme and why? (4
points)
[S] (mM) [P1] (mM)...
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
Two methods were used to measure fluorescence emission of a dye and following data were obtained;...
Two methods were used to measure fluorescence emission of a dye
and following data were obtained;
Method1
Method2
Mean
13.83
13.54
Standard deviation
0.288
0.375
# of measurements
6
6
A) Are the std. deviations are significantly different?
B) Are the means are significantly different?
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 were obtained from a two‑factor independent-measures experiment. &n
The following data were obtained from a two‑factor
independent-measures experiment.
B1
B2
A1
M = 22
T = 440
SS = 1540
M = 15
T = 300
SS = 1270
n = 20 for all cells
A2
M = 17
T = 340
SS = 1320
M = 18
T = 360
SS = 1266
G =
1440
N =
80
ΣX2 = 31,836
- Following the steps of a hypothesis test, determine if...
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