Question
In: Statistics and Probability
Consider the following sample information for three treatment groups: Treatment 1 Treatment 2 Treatment 3 15...
Consider the following sample information for three treatment groups:
|
Treatment 1 |
Treatment 2 |
Treatment 3 |
|
15 |
18 |
11 |
|
18 |
21 |
12 |
|
13 |
17 |
15 |
|
12 |
15 |
9 |
-
(a) Using the 0.05 significance level, test the null hypothesis that the three treatment means are equal.
-
(b) Interpret your results.
Solutions
orchestra answered 2 years agoRelated Solutions
Consider the following sample information for three treatment groups: Treatment 1 Treatment 2 Treatment 3 15...
Consider the following sample information for three treatment
groups:
Treatment 1
Treatment 2
Treatment 3
15
18
11
18
21
12
13
17
15
12
15
9
(a) using the 0.05 significance level, test the null hypothesis
that the three treatment means are equal
(b) Interpret your results.
PLEASE SHOW WORK! IM TRYING TO LEARN!!!!
Question 4: Consider the following sample information for three treatment groups. Treatment 1 Treatment 2 Treatment...
Question 4:
Consider the following sample information for three treatment
groups.
Treatment 1 Treatment 2 Treatment 3
$8 $3 $3
6 2 4
10 4 5
9 3 4
Using the 0.05 significance level, use the ANOVA method to test
the null hypothesis that the three treatment means are equal.
Treatment 1 Treatment 2 Treatment 3 0
Treatment 1
Treatment 2 Treatment 3
0
2
```4
0
3
2 G = 36
0
1
4
ΣX2 = 114
3
3
3
0
2
4
0
1
4
––––––––––––––––––––––––––––––––––––
T =
3
T =
12
T = 21
SS =
7.5
SS =
4
SS = 3.5
1. Use an analysis of variance with α = .05 to determine whether
these data indicate any significant mean differences among the
treatments.
2. Compute η2,...
Consider the following data collected from four independent populations: Sample 1 Sample 2 Sample 3 Sample...
Consider the following data collected from four independent
populations:
Sample 1 Sample 2 Sample 3 Sample 4
3 14 21 8
8 9 15 3
6 13 16 13
5 14
a. Calculate the total sum of squares
(SST).
b. Partition the total sum of squares (SST) into its two
components.
c. Using a= 0.001, what conclusions can be made about the
population means?
Consider the case of three treatment status, where we have no treatment, treatment 1 and treatment...
Consider the case of three treatment status, where we have no
treatment, treatment 1 and treatment 2. Let d1 be a dummy variable
taking 1 for treatment 1 and 0 otherwise, and d2 be a dummy
variable taking 1 for treatment 2 and 0 otherwise.
We consider the following regression
y = α + βd1 + γd2 + ε,
where α, β and γ are parameters and ε is the error with E[ε] =
0. Using β and γ in...
Consider the following data from two independent groups: Liberals: 2, 1, 3, 2 Conservatives: 4,3,3,5,2,4 Calculate...
Consider the following data from two independent
groups:
Liberals: 2, 1, 3, 2
Conservatives: 4,3,3,5,2,4
Calculate s2 for each group
Calculate dfx, dfy, and dftotal
Determine the critical values for t, assuming a
two-tailed test with a p level of .05
Calculate pooled variance, s2pooled
Calculate the variance version of standard error for
each group
Calculate the variance and the standard deviation of the
distribution of the differences between means
Calculate the t statistic
Consider the following differential equations: ?3?/??3 + 9 ?2?/??2 + 20 ??/?? + 12? = 15...
Consider the following differential equations:
?3?/??3 + 9 ?2?/??2
+ 20 ??/?? + 12? = 15
?(0) = ?̇(0) = ?̈(0) = 0
a) Find the solutions to the equation using Laplace
transform.
b) Use the Final Value Theorem to determine ?(?) as ?→∞
from?(?).
Note: Dots denote differentiation with respect to time.
Block Treatment 1 2 3 4 Treatment Mean Tr1 2 1 2 3 2 Tr2 4...
Block
Treatment
1
2
3
4
Treatment Mean
Tr1
2
1
2
3
2
Tr2
4
4
1
1
2.5
Tr3
3
4
3
2
3
Block Mean
2
3
3
2
overall mean = 2.5
Consider the randomized block design with 4 blocks and 3
treatments given above. Test H0: there is no
difference between treatment effects at α = .05.
Block Treatment 1 2 3 4 Treatment Mean Tr1 2 1 2 3 2 Tr2 4...
Block
Treatment
1
2
3
4
Treatment Mean
Tr1
2
1
2
3
2
Tr2
4
4
1
1
2.5
Tr3
3
4
3
2
3
Block Mean
2
3
3
2
overall mean = 2.5
Consider the randomized block design with 4 blocks and 3
treatments given above. What is the value of the F
statistic for blocks?
5. Consider the following data from an independent measures study: Treatment 1 Treatment 2 n...
5. Consider the following data from an independent measures
study:
Treatment
1 Treatment
2
n =
4
n = 4
mean =
4
mean = 11
SS =
96
SS = 100
Is there a evidence for a treatment effect? (α = .05, two
tails).
6. A sample of n = 16 difference scores from a repeated measures
experiment has SS = 440. The average difference score is 3. For a
two-tailed test, α = .05, is this a...
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