Three samples of each of three types of PVC pipe of equal wall thickness are tes
ID: 3332629 • Letter: T
Question
Three samples of each of three types of PVC pipe of equal wall thickness are tested to failure under three temperature conditions, yielding the results shown below. Research questions: Is mean burst strength affected by temperature and/or by pipe type? Is there a “best” brand of PVC pipe?
Burst Strength of PVC Pipes (psi)
Fill in the missing data. (Round your table of means values to 1 decimal place, SS and F values to 2 decimal places, MS values to 3 decimal places, and p-values to 4 decimal places.)
Factor 2 (PVC Type)
The main effects of temperature and PVC type are significant, but there is not a significant interaction effect.
The main effect of temperature is significant; however, there is no significant effect from PVC type or interaction between temperature and PVC type.
The main effect of PVC type is significant; however, there is no significant effect from temperature or interaction between temperature and PVC type.
Perform Tukey multiple comparison tests. (Input the mean values within the input boxes of the first row and input boxes of the first column. Round your t-values and critical values to 2 decimal places and other answers to 1 decimal place.)
Tukey simultaneous comparison t-values (d.f. = 18)
Tukey simultaneous comparison t-values (d.f. = 18)
Three samples of each of three types of PVC pipe of equal wall thickness are tested to failure under three temperature conditions, yielding the results shown below. Research questions: Is mean burst strength affected by temperature and/or by pipe type? Is there a “best” brand of PVC pipe?
Explanation / Answer
Answer:
Three samples of each of three types of PVC pipe of equal wall thickness are tested to failure under three temperature conditions, yielding the results shown below. Research questions: Is mean burst strength affected by temperature and/or by pipe type? Is there a “best” brand of PVC pipe?
b).
Two factor ANOVA
Factor 2
Means:
PVC1
PVC2
PVC3
Hot
268.0
287.0
258.0
271.0
Factor 1
Warm
314.0
334.3
306.0
318.1
Cool
354.0
361.3
335.3
350.2
312.0
327.6
299.8
313.1
3
replications per cell
ANOVA table
Source
SS
df
MS
F
p-value
Factor 1
28,580.22
2
14,290.111
81.04
0.0000
Factor 2
3,488.89
2
1,744.444
9.89
0.0013
Interaction
171.56
4
42.889
0.24
0.9100
Error
3,174.00
18
176.333
Total
35,414.67
26
c).
The main effects of temperature and PVC type are significant, but there is not a significant interaction effect.
d).
Post hoc analysis
Tukey simultaneous comparison t-values (d.f. = 18)
Hot
Warm
Cool
271.0
318.1
350.2
Hot
271.0
Warm
318.1
7.53
Cool
350.2
12.66
5.13
critical values for experimentwise error rate:
0.05
2.55
0.01
3.32
Post hoc analysis
Tukey simultaneous comparison t-values (d.f. = 18)
PVC3
PVC1
PVC2
299.8
312.0
327.6
PVC3
299.8
PVC1
312.0
1.95
PVC2
327.6
4.44
2.48
critical values for experimentwise error rate:
0.05
2.55
0.01
3.32
Two factor ANOVA
Factor 2
Means:
PVC1
PVC2
PVC3
Hot
268.0
287.0
258.0
271.0
Factor 1
Warm
314.0
334.3
306.0
318.1
Cool
354.0
361.3
335.3
350.2
312.0
327.6
299.8
313.1
3
replications per cell
ANOVA table
Source
SS
df
MS
F
p-value
Factor 1
28,580.22
2
14,290.111
81.04
0.0000
Factor 2
3,488.89
2
1,744.444
9.89
0.0013
Interaction
171.56
4
42.889
0.24
0.9100
Error
3,174.00
18
176.333
Total
35,414.67
26
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