In a small-disc test, a small, disc-shaped portion of a component is loaded until failure. The article "Optimizing the Sensitivity of the Small-Disc Creep Test to Damage and Test Conditions" (M. Evans and D.Wang, J. Strain Analysis, 2007:389-413) presents the results of a factorial experiment to estimate the effects of the properties of the disc on the time to failure (in ms). The data in the following table are presented as a 25 design. The factors are A: hole diameter, B. disc diameter, Cdisc thickness, D. punch head radius, and E. friction coefficient. Two other factors discussed in the article are not considered here. Treatment Outcome Treatment Outcome Treatment Outcome Treatment Outcome 1 2486,8 2508.6 de 2915 13281 1319.4 ade 1536.7 2446.8 bde 2872.8 1303.3 abde 1477.9 7731.6 Term A B C D E AB AC AD AE BC BD BE e ae be abe ce cde 6864.7 3875 3845,2 ace acde 7045.1 bce 6994.2 bcde abc 3992.2 abcd 4505.5 abce 3961.2 abcde CD CE DE a b ab C ac bc Compute the estimates of the main effects and the interactions. (Round the final answer to three decimal place.) 2470.2 1303.2 68174 d ad bd abd cd 29123 15072 2885.3 1491.8 7723 acd 4289.3 bcd 7952.8 Effect Term ABC ABD ABE ACD ACE ADE BCD BCE BDE CDE ABCD ABCE ABDE ACDE BCDE ABCDE 4345.1 79691 4494.5 Effect

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In a small-disc test, a small, disc-shaped portion of a component is loaded until failure. The article "Optimizing the
Sensitivity of the Small-Disc Creep Test to Damage and Test Conditions" (M. Evans and D.Wang, J. Strain Analysis,
2007:389-413) presents the results of a factorial experiment to estimate the effects of the properties of the disc on the
time to failure (in ms). The data in the following table are presented as a 25 design. The factors are A hole diameter, B.
disc diameter, C disc thickness. D. punch head radius, and E. friction coefficient. Two other factors discussed in the article
are not considered here.
Treatment Outcome Treatment Outcome Treatment Outcome Treatment Outcome
1
2486.8
d
2912 3
e
2508.6
de
2915
1328.1
ad
1536.7
ae
be
1507,2
2885.3
1491.8
1319,4 ade
2446.8 bde
2470.2
bd
2872.8
1303.2 abd
abe 1303.3 abde
1477.9
68174
cd
7723
cde
7731.6
ce
3845,2 acd 4289.3 ace
6864.7
3875
acde
4345.1
7045.1 bcd
7952.8 bce
6994.2
bcde 7969.1
abc 3992.2 abcd 4505.5 abce 3961.2 abcde 4494.5
Compute the estimates of the main effects and the interactions. (Round the final answer to three decimal place.)
Term
A
B
C
D
E
AB
AC
888080
AD
AE
BC
BD
BE
CD
CE
DE
Effect
Term
ABC
ABD
ABE
ACD
ACE
ADE
BCD
BCE
BDE
CDE
ABCD
ABCE
ABDE
ACDE
BCDE
ABCDE
Effect
Transcribed Image Text:In a small-disc test, a small, disc-shaped portion of a component is loaded until failure. The article "Optimizing the Sensitivity of the Small-Disc Creep Test to Damage and Test Conditions" (M. Evans and D.Wang, J. Strain Analysis, 2007:389-413) presents the results of a factorial experiment to estimate the effects of the properties of the disc on the time to failure (in ms). The data in the following table are presented as a 25 design. The factors are A hole diameter, B. disc diameter, C disc thickness. D. punch head radius, and E. friction coefficient. Two other factors discussed in the article are not considered here. Treatment Outcome Treatment Outcome Treatment Outcome Treatment Outcome 1 2486.8 d 2912 3 e 2508.6 de 2915 1328.1 ad 1536.7 ae be 1507,2 2885.3 1491.8 1319,4 ade 2446.8 bde 2470.2 bd 2872.8 1303.2 abd abe 1303.3 abde 1477.9 68174 cd 7723 cde 7731.6 ce 3845,2 acd 4289.3 ace 6864.7 3875 acde 4345.1 7045.1 bcd 7952.8 bce 6994.2 bcde 7969.1 abc 3992.2 abcd 4505.5 abce 3961.2 abcde 4494.5 Compute the estimates of the main effects and the interactions. (Round the final answer to three decimal place.) Term A B C D E AB AC 888080 AD AE BC BD BE CD CE DE Effect Term ABC ABD ABE ACD ACE ADE BCD BCE BDE CDE ABCD ABCE ABDE ACDE BCDE ABCDE Effect
ces
If you were to design a follow-up study, which factors would you focus on? Explain. (Check all that apply.)
Check All That Apply
The largest effects are the main effects of A and C
The largest effects are the main effects of Band E
The largest interaction is the interaction between A and C
The largest interaction is the interaction of Band E
The main effect of D is larger than the main effects of A and C
The main effect of D is larger than the main effects of Band E
Transcribed Image Text:ces If you were to design a follow-up study, which factors would you focus on? Explain. (Check all that apply.) Check All That Apply The largest effects are the main effects of A and C The largest effects are the main effects of Band E The largest interaction is the interaction between A and C The largest interaction is the interaction of Band E The main effect of D is larger than the main effects of A and C The main effect of D is larger than the main effects of Band E
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