Interpretability of Composite Indicators Based on Principal Components

Table 6

Examples of household rank shifts in the ABS pillar.

Households	Values of input variables					Values and ranks of ABS under
	ID 1	ID 2	ID 5	ID 6	ID 7	Traditional PCFA	Constrained PCFA
A	1	1	3.33	0.04	2.50	1.52	1.11
						(1)	(6)
B	1	1	3.33	0.13	2.50	1.49	1.13
						(4)	(3)
C	1	1	3.33	0.14	2.50	1.48	1.14
						(5)	(2)
D	1	1	3.33	0.33	2.50	1.40	1.19
						(6)	(1)
E	0	1	2.00	0.20	2.00	0.64	0.29
						(273)	(647)
F	0	1	3.33	0.33	1.00	0.63	0.33
						(276)	(543)
G	1	0	1.00	0.33	2.00	0.41	0.32
						(529)	(564)
H	1	0	0.50	0.33	2.00	0.25	0.22
						(773)	(876)
I	0	0	0.33	0.13	0.14	–0.62	–0.83
						(4020)	(4027)
K	0	0	0.33	0.25	0.14	–0.67	–0.79
						(4027)	(4024)