94 MISSOURI BOTANICAL GARDEN. 
The table of 4,980 entries was successfully formed and 
verified; that of 15,680 entries presented so many diffi- 
culties that it was finally given up in despair. Fortunately, 
just at the time, a relatively short process of obtaining the 
intra-class correlation coefficient from untabulated data was 
successfully worked out. 
The constants published here were, therefore, obtained 
by two different but equally valid methods, which applied 
to the same material would give identical results.1® We 
find for the two series :— 
For fertile fruits only, r= -+ .1556 + .01872 
For sterile and fertile rays, r = — .2149 + .0136 
Now these constants must be cautiously interpreted, 
but looking at them superficially—which is all that is pos- 
sible until much more extensive and refined data are avail- 
able—one is inclined to conclude (a) that the inflorescences 
vary in (a) the opportunities for pollination, (8) the 
innate vigor (capacity for development) of the ovules, or 
(y) the quantity of plastic material available for seed forma- 
tion, so that when one fertile fruit has a high number of 
seeds, the others also tend to be high, but (b) that an excess 
of fertility in some fruits of an inflorescence is in the long 
run attained at the cost of the complete sterilization of 
others. 
But these conclusions are purely tentative—chiefly use- 
ful as indicators of fertile lines of future research into a 
complex subject. 
19 The new method will be published shortly. The original table in 
the one case and the untabulated data in the other are too bulky for 
publication. The arithmetical routine has been carried out with exceed- 
ing care, and checked at every step. 
201 follow the general practise of taking N as the actual number 
of fruits in the calculation of the probable error. Possibly, we should 
use the number of inflorescences instead. In that case, we would have: 
r= + .1556 + .0427, and r= — .2149 + .0384. 
21 The reader will bear in mind that these inflorescences come from 
a large number of plants. Hence, differences shown by inflorescences 
are partly, at least, the differences between individuals. 
