Design of Experiments:

Factorial Experiment Design Tables

Table 1. Two-level 2-Factor Full-Factorial Experiment Design Pattern

 RUN Combination Factors A B 1 (1) - - 2 a + - 3 b - + 4 = 22 ab + +

Table 2. Two-level 3-Factor Full-Factorial Experiment Design Pattern

 RUN Combination Factors A B C 1 (1) - - - 2 a + - - 3 b - + - 4 ab + + - 5 c - - + 6 ac + - + 7 bc - + + 8 = 23 abc + + +

Table 3. Two-level 4-Factor Full-Factorial Experiment Design Pattern

 RUN Comb. Factors A B C D 1 (1) - - - - 2 a + - - - 3 b - + - - 4 ab + + - - 5 c - - + - 6 ac + - + - 7 bc - + + - 8 abc + + + - 9 d - - - + 10 ad + - - + 11 bd - + - + 12 abd + + - + 13 cd - - + + 14 acd + - + + 15 bcd - + + + 16 = 24 abcd + + + +

Table 4. Two-level 5-Factor Full-Factorial Experiment Design Pattern

 RUN Comb. Factors A B C D E 1 (1) - - - - - 2 a + - - - - 3 b - + - - - 4 ab + + - - - 5 c - - + - - 6 ac + - + - - 7 bc - + + - - 8 abc + + + - - 9 d - - - + - 10 ad + - - + - 11 bd - + - + - 12 abd + + - + - 13 cd - - + + - 14 acd + - + + - 15 bcd - + + + - 16 abcd + + + + - 17 e - - - - + 18 ae + - - - + 19 be - + - - + 20 abe + + - - + 21 ce - - + - + 22 ace + - + - + 23 bce - + + - + 24 abce + + + - + 25 de - - - + + 26 ade + - - + + 27 bde - + - + + 28 abde + + - + + 29 cde - - + + + 30 acde + - + + + 31 bcde - + + + + 32 = 25 abcde + + + + +

Table 5. 2-Factor Full-Factorial Experiment Design Computing Table

 RUN Comb. I A B AB 1 (1) + - - + 2 a + + - - 3 b + - + - 4 = 22 ab + + + +

Table 6. 3-Factor Full-Factorial Experiment Design Computing Table

 RUN Comb. I A B AB C AC BC ABC 1 (1) + - - + - + + - 2 a + + - - - - + + 3 b + - + - - + - + 4 ab + + + + - - - - 5 c + - - + + - - + 6 ac + + - - + + - - 7 bc + - + - + - + - 8 = 23 abc + + + + + + + +

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