426 



AMERICAN JOURNAL OF BOTANY 



Lack of space precludes the publication of the 30 individual correlation 

 tables upon which the coefficients discussed in this section are based. These 

 may, however, be easily formed from the schedules showing the formula 

 for the basal bundles in other papers of this series. 4 



TABLE i. Correlation between Number of Primary Double Bundles and Number of 

 Intercalary Bundles at Base of Hypocotyl 



ANALYSIS OF DATA 



i. Relationship between Number of Primary Double Bundles and NnmbeA 

 of Intercalary Bundles. We shall first consider the relationship between 

 the number of primary double bundles and the number of intercalary I 

 bundles at the base of the hypocotyl in dimerous and trimerous plants! 



The correlation coefficients for the five lines appear in table i. Fo 

 the trimerous plants of all five lines the correlations are negative in sign.] 

 i.e., the number of intercalary bundles is greater in plants which have 

 smaller number of primary double bundles, and vice versa. For dimerouij 

 plants three of the five lines show a slightly negative coefficient, but tw 

 show a low positive correlation. The constants indicate that the corre 

 lations for the trimerous plants are much higher numerically than thos 

 for the dimerous plants. Those for the trimerous are of the order ., 

 to .6 while those for dimerous plants are sensibly zero, averaging + .00* 

 The correlations for the trimerous plants are in all cases several times a 

 large as their probable errors, while those for the dimerous plants cou 

 hardly be regarded as statistically significant if only one of the lines we 

 available. The differences, taken with regard to sign, between the corr 

 lations for the dimerous and trimerous plants are in each case significan 

 in comparison with their probable errors. 



Expressing these results in terms of regression we have the followin 

 equations: 



4 The entries to be selected from the published tables can be determined from the valu 

 of N. In lines in which true siblings were available (75, 93, and 98) only siblings have bee 

 used, even though additional sections of one or the other type were available. In the 

 lines in which random samples of seed were used for the production of the dimerous an 

 trimerous seedlings, the largest possible number of individuals available in the tables of t 

 papers cited was employed for the constants here discussed. 



