PHYSICAL AND PHYSIOLOGICAL MEASUREMENTS. 



101 



partial correlation formula for stature and total heat for constant weight, 



' ah ~~ 'wt 'wh 



w r *h = 



we find for the infants : 



Tsh 



For males 0.6191 0.0582 



For females . . . . 0.7426 0.0461 



ulflk 



0.0949*0.0936 

 0.1492 0.1006 



If sex be disregarded, we have : 



r, h =0.6848 0.0369 w r sft =0.1178 * 0.0686 



In comparison with their probable errors the partial correlations 

 are sensibly 0. All three are, however, positive in sign. Correction 

 for body-weight has almost but apparently not entirely wiped out the 

 relationship between stature and total heat-production. 



For adults the results of the gross correlations and the partial cor- 

 relations have been presented in table 34. 



TABLE 34. Correlation between stature and total heat-production and partial correlation 

 between stature and total heat-production with weight constant. 



It is clear that in every series the correlation between stature and 

 total heat-production is reduced when correction is made for body 

 weight. The partial correlation between stature and heat for constant 

 weight is not on the average zero. Instead, we have fairly substantial 

 positive values throughout. Some of the constants taken individually 

 may very reasonably be considered significant in comparison with their 

 probable errors. The actual magnitude is of the order w r th =0.30 in the 

 larger series of men, although the first supplementary series gives only 

 ^r sft =0.18 and the Gephart and Du Bois selection gives ^r^ 0.16. 

 The women seem to differ from the men and to agree with the infants 



