1
(2)
AVOM = —i'(I - A)-1 i
n
with n representing the number of sectors and I the unit matrix.
A similar measure is used by Blin and Murphy (1974), with n2 in the denominator.
Useful only in highly disaggregated matrices is the Percentage of Nonzero Coefficients
measure (M3 - PNZC) of Peacock and Dosser (1957):
PNZC =100 i 'K i
n2
(3)
where K is a Boolean matrix, such as:
k = [kij], kij
1, aij ≠ 0
0, otherwise
A simple but useful measure is the Mean Intermediate Coefficients Total per Sector (M4
- MICT, Jensen and West 1980):
1
MIPS = —i ' Ai (4)
n
Based on the work of Wang (1954) and Lantner (1974) is the idea that the smaller the
value of the determinant of the Leontief matrix, |I-A|, the larger the elements of the Leontief
inverse and the interrelatedness of the IO system, and so we can use the (Inverse)
Determinant measure (M5 - IDET):
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