16 
PROFESSOR K. PEARSOX OX THE IXFLUEXCE OF XATURAE 
Hence we have 
Jm- + cr,o-„ 
Si 
R iv)p, R {u)p^ fsp 
+ s, 
/R ('2 R ( . 
R( 2;)ri; E (?<)„„/ 
Pj/p" 
Here Sj denotes a sum from = 1 to j) = q, and S., a sum for every pair of values 
of 'p and p)" out of 1, 2, ... p. 
When u = V we have simply 
a 
CO = yco + crA j 8^ 
E {v)J 
cr, 
+ 2S, 
R {v)p,c E (r f 
, (E(rH)~ 
'p'r 
SpiSp't 
rj‘i' 
It only remains to determine y,„, and y,.,.. This we can do by putting all the sa 
zei‘0, or selecting’ our q organs of one size only. We see at once that y„i, and y^v are 
the values of and a,,,., that is, of S„X,.r,v„ and when we select q organs of 
definite values and seek the correlation and the variabilities of two others, the w*‘‘ and 
the These values have already been found on p. 10. Or : 
— yur — o';,crj;lrv (nr),,,./ 
2A:=y/:= cr3(nr)„„/R((7). 
flii.). 
V :^l— 2 — 
y,A = cr,,~R (nr),,„/Tl (p). 
The notation of that page has been changed so that 11 (nr) now stands for the 
determinant 
12) 
^21) 1) 
13) 
■23) 
ly? 
P'l) ^ /'2) ^ //:!) 
I 
' P'l) ^ 'i'2) ^ Co) 
^ 1«) ^ U' 
• ^ 2'/) ^ ’iW) ^ ‘Zo 
• ^ 'Up ^ 'im ^ 'Ac 
I I/O, ^ qr 
1 . 
^ /■,) ^ CHI 
r„c 
1 
diii.). 
R(nr)„„ is the minor corresponding to the constituent r,,,.,; R (ia’)„„, the minor 
corresponding to the constituent at the meet of the column and if'- row ; and 
R (y) the determinant with the last two rows and two columns struck out. 
For example ; 
