Table 7. Hierarchical analysis of traditional approach.

Factors	Reachability set	Antecedent set	R∩A = R	Layer
1	1, 3, 5, 7, 8, 9	1,
2	2, 3, 4, 5, 7, 10, 11	2,
3	3, 14	1, 2, 3, 9, 10, 13
4	4,	2, 4, 8, 9, 11, 13, 14	√	I
5	5, 6	1, 2, 5
6	6,	5, 6, 15	√	I
7	7,	1, 2, 7, 8	√	I
8	4, 7, 8	1, 8, 13
9	3, 4, 9	1, 9
10	3, 10	2, 10
11	4, 11	2, 11
12	12,	12,	√	I
13	3, 4, 8, 13, 14	13,
14	4, 14	3, 13, 14
15	6, 15	15,
1	1, 3, 5, 8, 9	1,
2	2, 3, 5, 10, 11	2,
3	3, 14	1, 2, 3, 9, 10, 13
5	5,	1, 2, 5	√	II
8	8,	1, 8, 13	√	II
9	3, 9	1, 9
10	3, 10	2, 10
11	11,	2, 11	√	II
13	3, 8, 13, 14	13,
14	14,	3, 13, 14	√	II
15	15,	15,
1	1, 3, 9	1,
2	2, 3, 10	2,
3	3,	1, 2, 3, 9, 10, 13	√	III
9	3, 9	1, 9
10	3, 10	2, 10
13	3, 13	13,
15	15,	15,	√	III
1	1, 9	1,
2	2, 10	2,
9	9,	1, 9	√	IV
10	10,	2, 10	√	IV
13	13,	13,	√	IV
1	1,	1,	√	V
2	2,	2,	√	V