Question

#). Use a 25-2 design to investigate the effect on process yield of A condensation temperature, B - amount of material 1, C- solvent volume D-condensation time, E amount of material 2. The results obtained are as follows. e-23.2 cd-23.8 ab -15.5 ace-23.4 ad -16.9 bde -16.8 bc-16.2 abcde -18.1 A.) Give the compete defining relation and the aliases from the design. Your input sequence needs to follow alphabetical order. Defining Relation: I ACE -BDE -ABCDE b.) Estimate the main effects of A.B,C,D,E (by hand, no software).

Answer 1

Date: -10/5/2019 Answer. The results for 25-2design are as follows: e 23.2cd 23.8 ab = 15.5 | ace = 23.4 ad 16.9 bde 16.8 bc 16.2 abcde 18.1

Complete defining relation and the aliases for this design is as follows: -BDE ACE ABCD A (BDE)-ABDE A (ACE) - CE 8 (BDE) DE | B (ACE) ABCE | B (ABCD)-ACD | B-DE-ABCE-ACD C (BDE) = BCDE | C (ACE) = AE | C (ABCD) = ABD | C-BCDE-AE-ABD D (BDE)-BE D (ACE)-ACDE D(ABCD)-ABC D BE-ACDE-ABC E (BDE)-BD E(ACE) -AC E(ABCD)-ABCDE E-BD-AC ABCDE AB (BDE) ADE AB (ACE) BCE |AB (ABCD)CD AB ADE BCE-CD AD (BDE) ABE AD (ACE)-DCE AD (ABCD) BC AD-ABE-CDE BC

By using following Minitab steps estimate the main effects. 1. Go to Stat>DOE> Factorial >Create factorial design. 2. Select number of factors 5. 3. Click Options button, Uncheck the randomize runs. 4. Click ok ok. Write score in front of the factor and change the Factor D and E as per the table in part (a). 5. The following table is generated in the worksheet 115.5 13

6. Go to Stat > DOE> FactorialAnalyze Factorial design. 7. In dialog box select responses as score. Click on Terms button select terms as 1 The following output is generated. Factorial Fit: score versus A. B. C. D, E Esti ated Effects and Coefficient for core [coded units) Ten Elfect Coet SE Coef Constent 19.238 0.7671 24.44 0.002 -1.525-0.763 0.7871 -0.97 0. 435 5.175 -2.587 0.7871 3.29 0. 081 2.275 1138 0.7871 .45 0.285 -0.675-0.337 0.7871 -0.43 0.710 2.275 .138 0.7871 .45 0.285 3 = 2.22626 R-ST. 88,959 PRE33 158.6 R-Sq(pred) 0.004 R-Sq(adj) 61.34 . . Analysis of Variance for score (coded units) DF Seq SS Adj SS Adj HS Source Mein Efecta Residual Error 2 9.913 9.913 4.956 Total 5 79. 826 79.826 15.965 3.22 0.254 7 89. 739 Alias Structure