1909-10.] The Significance of the Correlation Coefficient, etc. 489 
26. The values of the correlation coefficients on these bases as m varies 
are given in the following tables. 
Table I. — Correlation of Parents (Selected and Non-selected) and Offspring 
where the Hybrid is distinct from the Dominant. 
Dominant or Kecessive in Excess or Defect. 
Hybrid in Excess or Defect. 
m. 
/ 6m + 2 
2(m + 3) 
_ V2 
r n . 0 .’5. 
r s-°-~\/ m 2 + 14m-fl7 
n -°- 2(m* + 14m+l7) 
rs,0 ‘ 2(m+ 1) 
•o 
•343 
•515 
•702 
•5 
•25 
•413 
•507 
•632 
•5 
•5 
•454 
•503 
•577 
•5 
•75 
•481 
•501 
•534 
•5 
1-00 
•500 
•500 
•500 
•5 
1*5 
•523 
•502 
•447 
•5 
2*0 
•536 
•505 
•408 
•5 
2-5 
•540 
•510 
•378 
•5 
3*0 
•542 
•516 
•342 
•5 
4 
•541 
•525 
•316 
•5 
5 
•534 
•534 
•289 
•5 
6 
•526 
•544 
•267 
•5 
oo 
0 
•702 
0 
Table II.— Correlation of Parents (Selected and non-Selected) and Offspring 
where the Hybrid is included in the Dominant. 
Dominant in Excess or Defect. 
Hybrid in Excess 
or Defect. 
Eecessive in Excess or Defect. 
m. 
T s.o. 
r n.o. 
r s.o. 
r n.o. 
T s-.o. 
r n.o. 
_ w+1 
1 
1 
/ 4m 
(m+ 1)' 
# S.O. 
2(m + 2) 
V3(m+2)** 
V3(2m + l) r 
•333 
'v 3(m-fl)(m + 5) 
V3(m + 5)* 
•o 
•250 
•408 
•578 
•333 
•o 
•258 
*25 
•278 
•385 
•471 
•333 
•225 
•281 
•50 
•300 
•365 
•408 
•333 
•284 
•301 
•75 
•318 
•348 
•365 
■333 
•319 
•320 
POO 
•333 
•333 
•333 
•333 
•333 
•333 
1-50 
•357 
•308 
•289 
•333 
•350 
•357 
2-00 
•375 
•289 
•258 
•333 
•356 
•378 
2-50 
•388 
•273 
•235 
•333 
•356 
*394 
3*00 
•400 
•257 
•218 
•333 
•353 
•408 
4-00 
•411 
•236 
T92 
•333 
•344 
•430 
5-00 
•429 
•218 
T79 
•333 
•333 
•447 
6-00 
*437 
•204 
•160 
•333 
•236 
•460 
oo 
•5 
0 
0 
0 
•577 
27. Considering the values of the correlation coefficients in these 
tables, we see that uni-parental selection except when large makes little 
