July, 1921] 



THE SEEDLIXG OF PHASEOLUS VULGARIS 



349 



.are in general somewhat higher than those for either of these two classes. 

 The average value of the 5 coefficients for trimerous seedlings is +.5976 

 while that for dimerous seedlings is +.8126. 



Turning to the diagrams, we note that the straight lines and the empirical 

 means are in excellent agreement, considering the small number of seedlings, 

 in the case of the normal plants, but show greater irregularities in the case 

 of the abnormal plants. This is due to a considerable extent to the greater 

 concentration of the frequencies into two classes in the case of the trimerous 

 seedlings. 



We may now consider the relative magnitudes of the three correlations 

 which we have been studying. Table 2 shows the differences existing be- 



TABLE 2. Comparison of correlations between the various types of bundles at the base of 

 hypocotyl and the number of bundles in the central region of hypocotyl 



Character of Seedlings 

 and Line 



Trimerous 



Line 75 +.271 



Line 93 \ +.236db 



Line 98 +.26s 



Line 139 i +.ii4 



Line 143 j +.197 



Dimerous 



Line 75 j +435 



Line 93 i +.H2 



Line 98 j -j-.i2O 



Line 139 . 

 Line 143. 



.581 



059 

 .066 

 .056 

 .071 

 037 



053 

 040 



033 

 035 

 026 



4-59 



3-58 



4-73 

 1.61 



5-32 



8.20 

 2.80 



3-64 

 16.6 

 10.5 



+.320.o6i 

 +.265 .067 



+-333-57 

 +.434-8o 

 + .448 .046 



+ .363 -051 

 +.231 .040 



+ .027.OIO 

 + .I68.022 



5-25 

 3-95 

 5-84 

 5-43 

 9-74 



3-49 

 7.11 



5-78 

 2.70 

 7.64 



+ .049 .07 1 

 +.029 .073 

 +.068 .065 



+ .251 .051 



-.306 .058 

 +.251 .056 

 +-ii i .045 



-554-35 

 .104^.030 



0.69 

 0.40 

 1.05 

 3-81 

 4.92 



5-28 

 4.48 



2-47 

 15-8 

 3-47 



tween the various correlations, i.e., the possible differences between the 

 correlation for primary bundles and hypocotyledonary bundles, r vh , for 

 intercalary bundles and hypocotyledonary bundles, r^, and for total bundles 

 at the base of the hypocotyl and hypocotyledonary bundles, r bh . 



For both dimerous and trimerous seedlings, the correlations between the 

 total bundles at the base of the hypocotyl and the number of bundles in 

 the central region of the hypocotyl are higher throughout than those for 

 either of the two separate types of bundles (primary bundles and inter 

 calary bundles) individually considered. In general, the differences are 

 sufficiently large in comparison with their probable errors to be considered 

 statistically significant. 



The comparison of the magnitudes of the correlations between numbers 

 of primary double bundles and of vascular elements at higher levels, and 

 between numbers of intercalary bundles and of vascular elements at higher 

 levels, shows that in 7 of the 10 comparisons the closer correlation of hypo 

 cotyledonary bundles is with the primary double bundles. 



Lines 75, 139, and 143 present exceptions. In the normal plants of these 

 lines the correlation between intercalary bundles and total bundles in the 



