362 Grandparental Inheritance in Horses 
Using the notation of Professor Pearson's memoir on the correlation of characters 
not quantitatively measurable*, we find in the first case : 
A =-35046, ir = -37518, 
k = -54466, K = -34395, 
and the equation : 
-33819 = r + -09544 r= + -10283 + -06186 + -02483 r' + -04403 
+ -00566 r' + -03311 
the root of which is r = "3238. 
0 
In the second case we have 
/(= -26470, -38521, 
^. = -58881, 7^ = -33367, 
and the equation : 
•38054 = r + -11203 r- + -09312 + 02836 r' + -02367 r' + 02651 
+ ■00290?-' + -02230 r«, 
the root of which is r = -3609. 
TABLE I. 
Colts and Paternal Grandsires. 
Grandsires 
1 
2 
3 
4 
5 
6 
7 
5 
9 
10 
11 
7;2 
13 
i4 
15 
i6 
Totals 
bl. 
bl./br. 
br./bl. 
br. 
br./b. 
b./br. 
b. 
b./ch. 
ch./b. 
ch. 
ch./ro. 
ro./ch. 
ro. 
ro./gr. 
gr./ro. 
1 
bl. 
5 
12 
— 
24 
2 
3 
bl./br. 
br./bl. 
1 
4 
1 
6 
— 
11 
1 
br. 
28 
75 
43 
146 
5 
br./b. 
1 
2 
2 
5 
6 
b./br. 
5 
27 
18 

50 
b. 
49 
284 
136 
1 
470 
8 
b./ch. 
9 
ch./b. 
10 
ch. 
25 
117 
149 
1 
292 
11 
ch./ro. 
12 
ro./ch. 
13 
ro. 
U 
ro./gr. 
15 
gr./ro. 
- 
16 
gr- 
1 
1 
Totals 
114 
1 
522 
361 
2 
1000 
* Phil. Tram. Vol. 195, A, pp. 1—47. 
