Question
The table below is the output from the Analysis of Variance (ANOVA) from the DOE. Identify the main effects and interactions that are significant at
The table below is the output from the Analysis of Variance (ANOVA) from the DOE.
- Identify the main effects and interactions that are significant at the 95% confidence level.
- Was the Fractional Factorial DOE justified (that is, can 3-way and higher order terms be ignored)? Explain your answer.
- Which factor has the greatest impact for increasing flight time? The least impact?
Estimated effects and coefficients for flight (coded units) | |||||
Term | Effect | Coef | SE Coef | T | P |
Constant | 2.10523 | 0.01089 | 193.39 | 0.000 | |
Paper | -0.14734 | 0.07367 | 0.01089 | 6.77 | 0.000 |
Clip | -0.12797 | -0.06398 | 0.01089 | -5.88 | 0.000 |
Bodytape | -0.05828 | -0.02914 | 0.01089 | -2.68 | 0.009 |
Jointtape | -0.00516 | -0.00258 | 0.01089 | -0.24 | 0.814 |
Width | -0.17797 | -0.08898 | 0.01089 | -8.17 | 0.000 |
Length | -0.16391 | -0.08195 | 0.01089 | -7.53 | 0.000 |
Prop | 0.49297 | 0.24648 | 0.01089 | 22.64 | 0.000 |
Paper*Clip | -0.04484 | -0.02242 | 0.01089 | -2.06 | 0.043 |
Paper*Bodytape | -0.02641 | -0.01320 | 0.01089 | -1.21 | 0.230 |
Paper*Jointtape | -0.01828 | -0.00914 | 0.01089 | -0.84 | 0.404 |
Paper*Width | -0.05172 | -0.02586 | 0.01089 | -2.38 | 0.021 |
Paper*Length | -0.04078 | -0.02039 | 0.01089 | -1.87 | 0.066 |
Paper*Prop | -0.01328 | -0.00664 | 0.01089 | -0.61 | 0.544 |
Clip*Bodytape | 0.01953 | 0.00977 | 0.01089 | 0.90 | 0.373 |
Clip*Jointtape | -0.01859 | -0.00930 | 0.01089 | -0.85 | 0.396 |
Clip*Width | 0.01984 | 0.00992 | 0.01089 | 0.91 | 0.365 |
Clip*Length | -0.04984 | -0.02492 | 0.01089 | -2.29 | 0.025 |
Clip*Prop | 0.03016 | 0.01508 | 0.01089 | 1.39 | 0.171 |
Bodytape*Jointtape | -0.02141 | -0.01070 | 0.01089 | -0.98 | 0.329 |
Bodytape*Width | -0.01797 | -0.00898 | 0.01089 | -0.83 | 0.412 |
Bodytape*Length | 0.01672 | 0.00836 | 0.01089 | 0.77 | 0.445 |
Bodytape*Prop | 0.03359 | 0.01680 | 0.01089 | 1.54 | 0.128 |
Jointtape*Width | -0.01797 | -0.00898 | 0.01089 | -0.83 | 0.412 |
Jointtape*Length | 0.01672 | 0.00836 | 0.01089 | 0.77 | 0.445 |
Jointtape*Prop | -0.00703 | -0.00352 | 0.01089 | -0.32 | 0.748 |
Width*Length | -0.03047 | -0.01523 | 0.01089 | -1.40 | 0.166 |
Width*Prop | 0.00078 | 0.00039 | 0.01089 | 0.04 | 0.971 |
Length*Prop | -0.05516 | -0.02758 | 0.01089 | -2.53 | 0.014 |
Paper*Clip*Bodytape | 0.04141 | 0.02070 | 0.01089 | 1.90 | 0.062 |
Paper*Clip*Jointtape | 0.00078 | 0.00039 | 0.01089 | 0.04 | 0.971 |
Paper*Clip*Width | -0.00391 | -0.00195 | 0.01089 | -0.18 | 0.858 |
Paper*Clip*Length | -0.00297 | -0.00148 | 0.01089 | -0.14 | 0.892 |
Paper*Clip*Prop | 0.01641 | 0.00820 | 0.01089 | 0.75 | 0.454 |
Paper*Bodytape*Jointtape | -0.03953 | -0.01977 | 0.01089 | -1.82 | 0.074 |
Paper*Bodytape*Width | 0.01703 | 0.00852 | 0.01089 | 0.78 | 0.437 |
Paper*Bodytape*Length | 0.00734 | 0.00367 | 0.01089 | 0.34 | 0.737 |
Paper*Bodytape*Prop | -0.00766 | -0.00383 | 0.01089 | -0.35 | 0.726 |
Paper*Jointtape*Width | -0.01672 | -0.00836 | 0.01089 | -0.77 | 0.445 |
Paper*Jointtape*Length | 0.03234 | 0.01617 | 0.01089 | 1.49 | 0.142 |
Paper*Jointtape*Prop | 0.00297 | 0.00148 | 0.01089 | 0.14 | 0.892 |
Paper*Width*Length | 0.03453 | 0.01727 | 0.01089 | 1.59 | 0.118 |
Paper*Width*Prop | -0.01609 | -0.00805 | 0.01089 | -0.74 | 0.462 |
Paper*Length*Prop | -0.02766 | -0.01383 | 0.01089 | -1.27 | 0.209 |
Clip*Bodytape*Jointtape | 0.03641 | 0.01820 | 0.01089 | 1.67 | 0.099 |
Clip*Bodytape*Width | -0.01141 | -0.00570 | 0.01089 | -0.52 | 0.602 |
Clip*Bodytape*Length | -0.01297 | -0.00648 | 0.01089 | -0.60 | 0.553 |
Clip*Bodytape*Prop | -0.03422 | -0.01711 | 0.01089 | -1.57 | 0.121 |
Clip*Jointtape*Width | -0.01516 | -0.00758 | 0.01089 | -0.70 | 0.489 |
Clip*Jointtape*Length | 0.00078 | 0.00039 | 0.01089 | 0.04 | 0.971 |
Clip* Jointtape* Prop | 0.00391 | 0.00195 | 0.01089 | 0.18 | 0.858 |
Clip* Width* Length | 0.04109 | 0.02055 | 0.01089 | 1.89 | 0.064 |
Clip* Width* Prop | 0.02172 | 0.01086 | 0.01089 | 1.00 | 0.322 |
Clip* Length* Prop | 0.00328 | 0.00164 | 0.01089 | 0.15 | 0.881 |
Bodytape* Jointtape* Width | -0.00422 | -0.00211 | 0.01089 | -0.19 | 0.847 |
Bodytape* Jointtape* Length | -0.00641 | -0.00320 | 0.01089 | -0.29 | 0.770 |
Bodytape* Jointtape* Prop | -0.01391 | -0.00695 | 0.01089 | -0.64 | 0.525 |
Bodytape* Width* Length | 0.00766 | 0.00383 | 0.01089 | 0.35 | 0.726 |
Bodytape* Width* Prop | -0.03359 | -0.01680 | 0.01089 | -1.54 | 0.128 |
Bodytape* Length* Prop | 0.01734 | 0.00867 | 0.01089 | 0.80 | 0.429 |
Jointtape* Width* Length | 0.02078 | 0.01039 | 0.01089 | 0.95 | 0.343 |
Jointtape* Width* Prop | -0.04234 | -0.02117 | 0.01089 | -1.94 | 0.056 |
Jointtape* Length* Prop | -0.00516 | -0.00258 | 0.01089 | -0.24 | 0.814 |
Width* Length* Prop | 0.00703 | 0.00352 | 0.01089 | 0.32 | 0.748 |
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started