34 DONALD C. BARTON 
TABLE III 
Means 
be bf ca ce of 
21 18 24 25 23 
12 10 20 22 14 
8 I 19 17 7 
6 15 16 3 
5 II 13 
9 2 
52 29 102 95 47 
Medians 
be bf cd ce of 
13 14 24 25 17 
10 4 23 21 15 
8 3 22 20 12 
7 18 19 9 
gS 16 
I II 
6 
2 
44 21 122 85 53 
of the mean squares. And from them, conclusions can be drawn in 
regard to the relative probability of the five forms, be, Bf, cd, ce, cf. 
In absolute value of the mean square, ce takes first place over cd 
both in the means and the medians, but by so small a difference, 1.63 
against 1.65, and 1.17 against 1.21, that it is presumably of no 
significance. The least mean square of any of the other three forms 
is 2.24 in the means and 1.59 in the medians. The difference seems 
significant. 
In probability from frequency of placement and position of 
placement among the 25 highest mean squares of I-VIII, cd seems 
slightly more probable than ce; and cd and ce together are decisively 
more probable than be, bf, and cf. The form cd was placed 7 times 
against ce’s 6 times in the first 25 means, and 8 times against ce’s 4 
times in the medians. The forms be and cf each held two places in 
the first 10 of the means, but otherwise be, bf, and cf were in the last 
15; and in the medians of these three, only cf won a single place in the 
first 10. The sum of the positions of placement of each form gives a 
measure of its probable relative position in reference to the others. 
The form cd, therefore, would seem to be most probably first with 
ce a fairly close second. The forms bc and cf are almost tied for a poor 
third and fourth, with cf slightly in the lead and df a poor fifth. 
The value of bd runs close to that of be. It does not give any 
important information beyond that given by be. It was dropped 
from the calculations, therefore, in order to save time. 
694 
