Table 3: Final reachability matrix.
C1 C2 C3 C4 C5 C6 C7 C8 C9 C10 C11 C12 C13 C14 C15 C16
C1 1 1 0 1* 0 1 1 1 1* 1* 1 1 1* 1 1 0
C2 1* 1 0 1* 0 1* 1 1 1 1 1 1 1 1 1 0
C3 1* 1* 1 1* 0 1 1 1 1* 1* 1* 1 1 1 1 0
C4 1* 1* 1 1 0 1 1 1* 1* 1* 1* 1 1* 1* 1 0
C5 1* 1* 1 1* 1 1* 1* 1* 1* 1 1* 1* 1* 1* 1 0
C6 1* 0 0 1* 0 1 1* 0 0 1* 0 1 1* 1* 1 0
C7 1* 0 0 1* 0 1 1 0 0 1* 1* 1* 1* 1* 1 0
C8 1 1 1* 1 0 1 1 1 1 1 1 1 1 1* 1 0
C9 1 1 1* 1 0 1 1 1* 1 1 1 1 1 1* 1 0
C10 1 1* 1* 1 0 1* 1 1* 1* 1 1 1 1* 1* 1 0
C11 1* 0 0 1* 0 0 1* 0 0 1* 1 1 1* 1* 1 0
C12 1* 0 0 1* 0 0 1* 0 0 1* 0 1 1 1* 1* 0
C13 1 1* 1* 1* 0 1* 1 1* 1* 1 1* 1 1 1 1 0
C14 1* 1* 1* 1 0 1* 1 1* 1* 1* 1* 1* 1 1 1 0
C15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0
C16 1* 1* 1* 1* 0 1 1* 1* 1* 1 1 1 1 1* 1 1
Table 4: Level partitioning results.
Causes Reachability Set Antecedent Set Intersection Set Level
C1 1, 2, 4, 6, 7, 8, 9, 10, 11, 12, 13,
14
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12,
13, 14, 16
1, 2, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14 2
C2 2, 8, 9 2, 3, 5, 8, 9, 16 2, 8, 9 4
C3 3 3, 5, 16 3 5
C4 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12,
13, 14
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12,
13, 14, 16
1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13,
14
2
C5 5 5 5 6
C6 6 2, 3, 5, 6, 8, 9, 16 6 3
C7 1, 4, 6, 7, 10, 11, 12, 13, 14 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12,
13, 14, 16
1, 4, 6, 7, 10, 11, 12, 13, 14 2
C8 2, 3, 8, 9 2, 3, 5, 8, 9, 16 2, 3, 8, 9 4
C9 2, 3, 8, 9 2, 3, 5, 8, 9, 16 2, 3, 8, 9 4
C10 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12,
13, 14
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12,
13, 14, 16
1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13,
14
2
C11 11 2, 3, 5, 8, 9, 11, 16 11 3
C12 1, 4, 7, 10, 12, 13, 14 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12,
13, 14, 16
1, 4, 7, 10, 12, 13, 14 2
C13 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12,
13, 14
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12,
13, 14, 16
1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13,
14
2
C14 1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12,
13, 14
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12,
13, 14, 16
1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13,
14
2
C15 15 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12,
13, 14, 15, 16
15 1
C16 16 16 16 6
After the FRM, level partitioning was carried out.
For each cause of DCP, the reachability set, the
antecedent set, and the intersection set were created
to measure each cause’s influence levels. The
reachability set of cause “i” comprises all causes that
are influenced by cause “i" (which are represented by
“1s” in the row of the FRM corresponding to cause
“i"); the antecedent set of cause “i“ comprises all
causes that influence cause “i" (which are
represented by “1s” in the column of the FRM
corresponding to cause “i”); plus, the intersection set
contains the common causes found in both the
reachability and antecedent sets. When the
intersection set is equal to the reachability set of a