Design of Experiments (DOE): Factorial Experiment Design Tables

Design of Experiments:

Factorial Experiment Design Tables

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

RUN	Combination	Factors
RUN	Combination	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
RUN	Combination	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
RUN	Comb.	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
RUN	Comb.	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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