Question
A defense contractor is interested in studying the properties of three specimens . Three specimens of materials are used for two properties. Seven measurements are
A defense contractor is interested in studying the properties of three specimens. Three specimens of materials are used for two properties. Seven measurements are used for each combination in the study. The factor levels are given in Table 2.
(a) Write an appropriate model, with assumptions.
(b) Use analysis of variance to test the appropriate hypothesis for SPECIMENS, PROPERTIES and INTERACTION.
( Solve the problem by using R program(NOT MINITAB). Submit the code and results with your comments
Table 2: Experimental results for the mechanical properties of prepared test specimens
| PROPERTIES | |
SPECIMENS | ILSS(MPa) | FS(MPa) |
CFE1 | 117.68 | 1897.68 |
| 124.00 | 1975.946 |
| 124.80 | 2070.383 |
| 120.12 | 2016.101 |
| 119.15 | 1907.32 |
| 123.33 | 1859.09 |
| 112.41 | 1960.789 |
GFE1 | 78.35 | 1429.468 |
| 80.73 | 1380.895 |
| 84.41 | 1462.426 |
| 85.59 | 1422.289 |
| 87.20 | 1459.468 |
| 79.48 | 1523.006 |
| 81.93 | 1426.603 |
CFE2 | 18.21 | 1015.509 |
| 17.03 | 1018.322 |
| 18.41 | 1026.202 |
| 17.16 | 1023.832 |
| 18.27 | 1021.016 |
| 18.60 | 1003.459 |
| 18.82 | 1011.877 |
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