Table 5. Hierarchical analysis of proposed approach.

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