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 + + + + + + + +

      

 

 

See Also:  Factorial Experiments 2-Level Factorial Design;

  

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