5-3.1 The independence assumption.

The calculation of a record comparison weight as the sum of the weights of the field comparison weights relies on the assumption that the fields being weighted are independent (cf. ¶ 2-2.5, ¶ 4-1.4). The comparison space might be configured much as diagramed in figure 1 [NB: Within a field, agreement is still dependent on presence.] This means that the probability of a comparison being a match would be directly proportional to the calculated agreement weight of each independent field. Consider the reliability and coincidence for the two fields in table 3 and see what weight they might contribute to a comparison. When the fields are independent we allow for the Given Name Code to agree even when the Sex is not the same. But in reality the Sex may be so reliable that the probability of this happening would be virtually zero. We say that the Sex depends on the Given Name Code. Another way of saying this is that the Given Name Code partitions the Sex.

FIELD
Presence
Reliability &
Coincidence
W E I G H T S   F O R   C O M B I N A T I O N S
(+ = agreement   – = disagreement   0 = missing)
  p  r c + + + – + 0 – + – – – 0 0 + 0 – 0 0
Principal's
Given Name
Code 0.9679
0.9617 0.0250 aw1 =
+5.27
aw1 =
+5.27
aw1 =
+5.27
dw1 =
–7.25
dw1 =
–7.25
dw1 =
–7.25
bw1 =
0.00
bw1 =
0.00
bw1 =
0.00
Principal's
Sex   1.0000
0.9932 0.5004 aw2 =
+0.99
dw2 =
–6.20
bw2 =
0.00
aw2 =
+0.99
dw2 =
–6.20
bw2 =
0.00
aw2 =
+0.99
dw2 =
–6.20
bw2 =
0.00
Algorithm if
Independent
   cw =
+6.26
cw =
–0.93
cw =
+5.27
cw =
–6.26
cw =
–13.5
cw =
–7.25
cw =
+0.99
cw =
–6.20
cw =
0.00

Table 3 — Weighting Independent Fields