In an experiment conducted at the Department of Mechanical Engineering and analyzed by the Statistics Consulting Center at the Virginia Polytechnic Institute and State University, a sensor detects an electrical charge each time a turbine blade makes one; rotation. The sensor then measures the amplitude of the electrical current. Six factors arc rprn A, temperature B, gap between blades C, gap between blade and casing D, location of input E, and location of detection F. A 1/4 fraction of a 2? factorial experiment is used, with defining contrasts being ABCE and BCDF. The data are as follows. Perform an analysis of variance on main effects and two-factor interactions, assuming that all three-factor and higher interactions are negligible. Use ? = 0.05.

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F Response -1 -1 - 1 3.89 -1 -1 - 1 -1 10.46 25.98 39.88 61.88 3.22 - 1 -i -1 - 1 - 1 - 1 - 1 -1 1 - 1 1 -1 -1 -1 - 1 - 1 - 1 1 8.94 20.29 32.07 50.76 1 -1 - 1 - 1 -1 - 1 - 1 -1 - 1 - 1 - 1 2.80 8.15 16.80 25.47 -1 -1 - 1 -1 -1 - 1 1 -1 44.44 1 2.45