412 
Journal of Agricultural Research 
Vol. V, No. 10 
Dividing the second-generation variates into groups on each side of 
the means, we have: 
Number of short pods. 
Number of long pods. 
Year. 
Below 
mean. 
Above 
mean. 
Below 
mean. 
Above 
mean. 
Differences. 
1910. 
24 
22 
71 
58 
2 and 13 
1912. 
51 
49 
idS 
15° 
2 and 15 
In each case there are fewer variates above than below the mean. 
This agrees with the hypothesis that the factors act as multipliers. 
The second-generation means, including both short and long, were 
85.9 and 86.9 mm. These two determinations average 86.4 mm. If E 
is completely dominant and the minor factors act symmetrically, the 
second-generation mean will be ^(62.8 4-3 X 94.5) = 86.6. This is sensibly 
the same as the actual average, 86.4. 
If factor E is a multiplier and completely dominant, we may find its 
multiplying value in several ways: 
Parents— 
1910. .Lyon bean-s-Florida velvet bean=92.7-4-62.9=1.47. (Lyon bean value is too 
low.) 
1912. .Lyon bean-j-Florida velvet bean=94.5-5-62.8=i.5o. (Two plants each.) 
1912. .Lyon bean-4-Florida velvet bean=95.6-4-63.2=1.51. (Including samples.) 
Second generation— 
1910. .Long-4-short=94.2-4-62.7=1.50. 
1912. .Long-4-short=94.7-5-62.7=1.51. 
This gives 1.50 to 1.51 for the multiplying value of Ee or E 2 compared 
with e 2 . 
The extremes of the two crosses were: 
Short Long 
pods. pods. 
1910.52 and 76 81 and 113 
1912. 53 an< i 75 79 an d 113 
The results in the third and fourth generations show that these extreme 
values are inherited. The values of 1912. are probably the more reliable. 
If E is completely dominant and the factors are multipliers, the multi¬ 
plying value of E is given by: 
Shortest long pod-4-shortest short pod= 79-5-53=1.49 
Longest long pod-i-longest short pod =113-1-75=1.51 
If E had shown incomplete dominance, the second value should have 
been markedly greater than the first. The average multiplying value of 
Ee or E % is here 1.50. 
