76 A BIOMETRIC STUDY OF BASAL METABOLISM IN MAN. 



it is necessary to ascertain the influence of the correlation between 

 weight and pulse-rate upon that between stature and pulse-rate. 



Determining the correlation between stature and pulse-rate for 

 constant weight by the partial correlation formula 



T = 

 w' sp 



f f 



' 8W ' 



Vl- 



8M> 



we have : 



In males 0.1529 0.0922 



In females 0.0981^0.1019 



In both sexes . . 0. 1294 0.0684 



r 2 



' wp 



wTsf 



-0.1 436 0.0925 

 -0.0756 0.1023 

 -0.1 053 0.0688 



wfsp Tsp 



-0.2965 0.1306 

 -0.1737 0.1444 

 -0.2347 0.0973 



Thus correction for weight has reversed the sign of the correlation 

 between stature and pulse-rate in infants. The partial correlations 

 are negative in sign, but neither can be considered statistically signifi- 

 cant in comparison with its probable error. 



We now turn to the data for adults. These appear in the first 

 column of constants of table 18. 



TABLE 18. Correlation between stature and pulse-rate and partial correlation between 

 stature and pulse-rate with weight constant and ivith age constant. 



The values are partly negative and partly positive in sign. They 

 vary widely in magnitude. For the athletes the constant is positive 

 and of medium magnitude, but the 62 other men give a negative corre- 

 lation of the order r = 0.2. As a result, the correlation for the whole 

 series is, in comparison with its probable error, sensibly zero. The 

 same is true for the first supplementary series of men and for the whole 

 series of men (121 in number) for which records of both stature and 

 pulse-rate are available. For all three of these larger series the corre- 



