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Designed Experimentation
Homework Answers for Assignment 2
Problem 36:
a)
Is there evidence to indicate the dosage level affects bioactivity?
Use
α
=0.05.
Oneway ANOVA: Observation versus Dosage
Source
DF
SS
MS
F
P
Dosage
2
450.7
225.3
7.04
0.014
Error
9
288.3
32.0
Total
11
738.9
S = 5.659
RSq = 60.99%
RSq(adj) = 52.32%
Answer: Yes, dosage level affects bioactivity, so we reject the null hypothesis that all
dosage levels give equal responses.
The significance level is at 98.6%.
The dosage
level explains 52% of the variability in bioactivity.
b) If it is appropriate to do so, make comparisons between the pairs of means.
What
conclusions can you draw?
Individual 95% CIs For Mean Based on
Pooled StDev
Level
N
Mean
StDev
++++
20
4
29.750
5.439
(*)
30
4
36.750
5.439
(*)
40
4
44.750
6.076
(*)
++++
28.0
35.0
42.0
49.0
Pooled StDev = 5.659
Tukey 95% Simultaneous Confidence Intervals
All Pairwise Comparisons among Levels of Dosage
Individual confidence level = 97.91%
Dosage = 20 subtracted from:
Dosage
Lower
Center
Upper
++++
30
4.177
7.000
18.177
(*)
40
3.823
15.000
26.177
(*)
++++
12
0
12
24
Dosage = 30 subtracted from:
Dosage
Lower
Center
Upper
++++
40
3.177
8.000
19.177
(*)
++++
12
0
12
24
Fisher 95% Individual Confidence Intervals
All Pairwise Comparisons among Levels of Dosage
Simultaneous confidence level = 88.66%
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View Full Document Dosage = 20 subtracted from:
Dosage
Lower
Center
Upper
++++
30
2.053
7.000
16.053
(*)
40
5.947
15.000
24.053
(*)
++++
12
0
12
24
Dosage = 30 subtracted from:
Dosage
Lower
Center
Upper
++++
40
1.053
8.000
17.053
(*)
++++
12
0
12
24
Answer: From the first plot of Individual 95% CI’s, it appears that there is a
difference between the 20g and 40g dosage levels.
The response seems to be linear,
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This note was uploaded on 08/27/2011 for the course EIN 4905 taught by Professor Staff during the Spring '08 term at University of Florida.
 Spring '08
 Staff

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