John Blakbman 
345 
From the formula 
2,.^ = -0004. 
Hence from formulae (xxvi) and (xxviii) we get 
Sf=-0125, 2, = -0138. 
Hence, finally 
= -0238, = -0084, = -0093, 
while, from the simple formulae (xxiii), (xxvii), (xxix) we get 
£"^ = ■0274, E'^=-0107, E\=01U. 
These give 
~ = 13-4052, S- = 15-8934, - 15-3972. 
-ft -ar -ft f E ^ 
Illustration D. On the Skew Correlation between Number of Branches to 
the Whorl and Position of the Whorl on the stem in Equisetuin arvense. 
Position of whorl is taken as the a;-character and number of branches to the 
whorl as ?/-character. We have 
Vxp 
1 
126 
7-619 
2-360 
2 
126 
9-294 
1 -273 
3 
126 
9-627 
1-187 
126 
9-730 
1-151 
5 
126 
9-643 
1-158 
6 
124 
9-427 
1-375 
7 
123 
8-732 
1-781 
8 
121 
7-297 
2-291 
9 
119 
5-555 
2-553 
10 
110 
3-964 
2-199 
11 
97 
2-443 
1-506 
12 
67 
1 -866 
0-960 
13 
39 
1 -462 
0-746 
U 
12 
1 -333 
0-471 
15 
4 
1-250 
0-433 
IG 
2 
1-000 
0-000 
Not using Sheppard's corrections for either character, we find 
1448, 
X 
Biometrika jv 
= 6-4033, 
= 3-5426, 
= 12-5500, 
= 319-5158, 
= 7-7838, 
= 140-4409, 
A,„ = 152-2416, 
^22= 171-1280, 
2-7899, 
%i = -C437, 
y - 
a-y ■■ 
P22 ■■ 
7- 2169, 
3-2785, 
10-7486. 
8- 2256, 
205-0840, 
205-2746. 
7] = -8510, 
r = -7082, 
X. = -7992. 
44 
