94 



A BIOMETRIC STUDY OF BASAL METABOLISM IN MAN. 



These can be best understood if they are laid beside (1) the gross 

 correlations between weight and heat, r wh , beside (2) the correlations 

 for weight and heat for constant stature and (3) the correlations be- 

 tween weight and heat for constant age. This is done in table 31. 



TABLE 30. Comparison of correlations between weight and heat-production and between 



weight and heat-production for constant age. 



We note that in all cases correction for age and stature has decreased 

 the values of the correlations between weight and heat-production in 

 men but increased the constants measuring the relationship in women. 

 Thus correction for two of the disturbing factors in the relationship 

 between weight and heat-production has tended to bring the results 

 obtained for the two sexes into closer agreement. For the total series 

 the differences between the gross and the partial correlations are : 



Gross 



r wh. 



Men 0.79600.0212 



Women.. . .0.6092 0.04 IS 



Difference. . . .0.1868 0.0469 



Partial 

 as wh. 



0.75 10 0.0252 

 0.6866 0.0351 



0.0644 0.0432 



Thus the difference between men and women is 3 times as large 

 before correction for the influence of stature and age has been made 

 as it is after the influence of these two variables has been eliminated. 

 The difference between the gross correlations in the two sexes is prob- 

 ably significant in comparison with its probable error. The difference 

 between the correlations corrected for the influence of age and stature 

 is probably not statistically significant. 



Comparing the partial correlations for both age and stature constant 

 with those for stature only and age only constant, we note that the 



