482 
Proceedings of the Koyal Society of Edinburgh. [Sess. 
If the hybrid is distinct from the dominant the correlation of husband 
and wife is given by — 
_ a 
r — ‘5 - - • 
n 
If the dominant include the hybrid, then the table condenses to — 
Husbands. 
Wives. 
(a, a) + (a, b). 
(b, b). 
Totals. 
(a, a) + (a, b) . 
bn - a 
n + a 
tin 
(b ; b). . . 
n + a 
n- a 
2 n 
Totals . 
tin 
2 n 
8 n 
giving a correlation 
14. If the parentage be as in (a) the correlation table for parent and 
offspring is — 
Parent. 
Offspring. 
(a, a). 
(a, b). 
(b, b). 
Totals. 
(a, a) . 
f n — a 
n 
■§n- a 
(a, b) . 
^ n + a 
2 n 
\n + a 
Zn + 2a 
(b, b) . 
n 
f n - a 
fyfi — a 
Totals . 
2 n 
4 n 
2 n 
8 n 
giving a correlation — 
*_ 3tz - 2a 
?f '°' ^/(in-bn - Za)' 
reducing if a = 0 to r— 5, i.e. there is no assortive mating, or to 
r, 0 . = -596 if r, m . = *25. 
15. The population given by the parentage (a) is evidently represented 
by offspring in the proportion 
§ (n - a) (a, a) + (3 n + 2a) (a, b) + ^{n - a) (b,b), 
* rto. signifies correlation of father and offspring. 
r f . m . „ „ „ „ mother. 
