It is suspected that the yield of a chemical plant is influenced by five factors:

A, temperature; B, pressure; C, operating mode (manual or automatic);

D, catalyst concentration; and E, speed. These factors were all set at two levels, and the yields of the plants were studied as 25 factorial experiment.

However, because of many constraints, only one full replicate of the design could be obtained.  Using factorial effects contrasts, obtain the estimates of effects in this design. Obtain the sums of squares for the effects. Assuming that all secondand higher order interactions are negligible, combine them to estimate error and hence draw conclusions on the plant. Plot the estimated effects on a normal probability paper. Can you justify the assumption that all second- and higher order interactions are negligible?

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(1) 13 d 14 e 22 de 17 a 17 ad 20 ae 23 ade 24 b 15 bd 14 be 18 bde 19 ab 17 abd 22 abe 21 abde 24 c 16 cd 18 ce 25 cde 16 ac 18 acd 19 ace 17 acde 18 bc 11 bcd 17 bce 14 bede 22 abc 23 abcd 19 abce 25 abcde 19