SELECTION ON THE VARIABILITY AND CORRELATION OF ORGANS. 
/ 
7 = 1: 7„. = 0-/(1 — ?’i/) y,,u = o-/(l — i\,r). 
y uo 
= 
(T^CT-ff (? 
•iVm), 
<1 = 2 : y,„ 
O'/ (1 
— )• 2 
' 12 
— ro„ 
^ + 
2 r 
^oiy.Vo,); (1 — 
y>iv 
cr/(l 
0 
- ryf 
— r,J 
— r.,„ 
2 ^'Yp\>fl' 2 i^ / ( 1 
r.r), 
y.. 
cr„cr,. ; 
r,;, (d 
- 
- r 
^’12 
v. 2 r -T ri„r 
n-)]/(d 
- r,/), 
CO 
11 
o-„" X 
1, 
rv 2 , 
^ (1 - 77.2 
V ^ 
^3/ + 
^'’l 2 ^’ 23 '’ 3 l) 
1, 
r-iz, 
Tor 
^V2? 
1, 
r-i,- 
1 
yvn 
rr: 
o-,/ X 
1, 
^'129 
ru, 
~ (I - rj.d 
0 
V:>o~ 
.-.0 
’Va' + 
^^’l 2 '^ 2 :d‘ 3 l) 
^'•215 
1, 
^’2:59 
'^'2/1 
''bn 
1, 
n. 
r.,a^ 
^ Vf 09 
1 
y„v 
o-,.cr„ 
1, 
'’l2> 
^*139 
-L (1 - ?7.d 
0 
- - 
^ + 
‘^'’l 2 ^' 23 ’’ 3 l) 
^215 
I, 
’^brs) 
^■:;o 
n2> 
1, 
r,„. 
. (xliv.). 
W e can now collect onr complete results. 
The variability of a non-selected organ r > 7 is after the selection of 7 organs 
given l)y 
v 2 
(R (t')r.)“ 
Pp'p' 
The correlation of two non-selected organs v and u both > 7 is after the selection 
(T 7 organs given by 
(xlvi.). 
The correlation between a non-selected organ ii > 7 and a selected organ t’ < 7 + I 
is given by (xli.)’^'^ or, 
c ^ r — 
I 
(xlvii.). 
* The expanded A-alnes of these determinants are given, ‘ Phil. Trans A, vol. 1S7, p. 294. 
]) 
VOT.. CC.-A, 
