ANOVA: One Way: A drug trial using different levels of a drug to
reduce blood pressure is conducted to determine the best dosage. A
one Way ANOVA is conducted. Claim: The reduction of blood pressure
differs by dosage.
The results of the study are given in the ANOVA table
ANOVA |
|||||
Source of Variation |
SS |
df |
MS |
F |
P-value |
Between Groups |
360 |
4 |
D |
E |
0.0138 |
Within Groups |
A |
B |
C |
||
Total |
660 |
19 |
|
|
|
Complete the Table:
A =
B =
C =
D =
E =
.
Question 11 (4 points)
Question 11 options:
Continuing previous Problem:
a. How many different dosages
are given (# of treatments)
b. Give Ho Symbolically.(use the two
letter name for the parameter)
c. Give Ha verbally
d. Based on the results of the ANOVA,
what is the conclusion of the test? State verbally in context using
the guidelines
b. Give Ho Symbolically.(use the two
letter name for the parameter)
c. Give Ha verbally
d. Based on the results of the ANOVA,
what is the conclusion of the test? State verbally in context using
the guidelines
A = 660 -360 = 300
B = 19 -4 = 15
C = A/B = 20
D = 360/4 = 90
E = D/C = 4.5
ANOVA |
|||||
Source of Variation |
SS |
df |
MS |
F |
P-value |
Between Groups |
360 |
4 |
D |
E |
0.0138 |
Within Groups |
A |
B |
C |
||
Total |
660 |
19 |
11)
a)
Number of treatment = df between + 1 = 4 +1 = 5
b)
c)
Ha: the average is not the same for all groups
d)
p-value = 0.0138
p-value < 0.05 (alpha)
hence we reject the null hypothesis
we conclude that there is evidence that the average is not the same for all groups
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