48 Mr. E. C. Snow. . Correlations between Collaterals [June 3, 
Table V.—Gametic Correlation between Uncle and Nephew. 
(Factor 64 st(p+gq)* omitted throughout.) 
| Unie | 
Nephew. — Totals. 
| (AA.) (Aa) (aa.) 
(AA) | (16s—1)p'+(8s—1) pq | (245-1) p3q¢ + (8s—1) p*¢? 8 sp?q” | (16s—1) p?(p+q)? 
(Aa) | (24s—1) p¥q + (8s—1) p°q?, (8s—1)p¥y + (485— 2) pg (8s—1)p*q? + (24s—1) pq?| 2(16s—1) pq (p+ 9)? 
. + (8s—1) pq? 
(aa) | 8 sp*q? (Bal) pias (240 =) 79? (8s—1) pq? + (16s—1) q* (165-1) q? (p+q)* 
Totals (16s—1) p? (p+q)? 2 (16s—1) pq (p+q)? (16s—1) g2(p+q)? | (16s—1) (p+)! 
Table VI.—Somatic Correlation between Uncle and Nephew. 
(Factor 64st (p+q)* omitted throughout.) 
| Uncle. 
Totals. 
| (A.) | (Not A.) 
(A) (16s— 1) p* + 4(16s—1) p3q + 4(16s—1) p*g? |(16s—1) p*q? + (245—1) pq?| (165— ‘Dp (p +9)" (P +24) 
| + (8s—1) pq? 
(Not A)| (16s—1) pq? + (24s—1) pq? (8s—1) pq?+ (16s—1) q (16s—1) q?(p+q)? 
| Totals | (16s—1) p(p+¢)* (p+2q) | (16s—1) ¢7(p+q)? (16s—1) (p+q)4 | 
(14) Gametic Correlation—From Table V we find, measuring from the 
centre of the middle row— 
_, (esp a(8s— 1) py 8g : _ 8sp?—(8s—1)pqg—(16s—1) ¢? 
A (GS-1) (p49) c (l6s—1) {prey 
joa CAs=)) (p?—4?) : pee Ie ee 
2(16s—1)(p+qy (p+ay ptq 
5 Leng ha Sis ae eae Tye t =. 
Hence WAU) pemey ay ee ee 
8s—1 1 
iGsade On As before, 
we must take a random sample from the families obtained by making s 
Therefore the regression is linear and the correlation 
indefinitely large. The correlation then becomes }. 
