Table 4 



. — Analysis of improvement of ln(crown width)' regression models attainable by varying parameters by species, trees 3.5 

 inches d.b.h. and larger 



Model^' 



Source 



Remarks 



Degrees Marginal 



of sum of Mean square 

 freedom squares reduction 



(1) bo - b,ln{D) + b2ln(H) ~ b,ln(C/.) 



(2) .b^ + b,ln(D) + bglniH) + b,ln(C/.) 



(3) bg + bi^ln(D) + bglnlH) b;.ln(C/.) 



(4) bg + b,ln(D) + ^\n{H) + h^\r\{CL) 



(5) bo + b,ln(D) + b2ln(H) - b^ln(C/.) 



(6) bg + yn(D) + b5ln(H) + b3ln(CL) 



(7) bg + bi^ln(D) + b2ln(H) + b^ln(CL) 



(8) bg + biln(D) + b^ln(H) - b3^ln(CL) 



complete model 

 bo, + biln(D) -b^ln(H) + bglnlCZ.) 



Reduction due 

 to model (1) 

 Reduction due 

 to model (2) 

 -reduction due 

 to model (1) 

 Reduction due 

 to model (3) 

 -reduction due 

 to model (2) 

 Reduction due 

 to model (4) 

 -reduction due 

 to model (2) 

 Reduction due 

 to model (5) 

 -reduction due 

 to model (2) 

 Reduction due 

 to model (6) 

 -reduction due 

 to model (4) 

 Reduction due 

 to model (7) 

 -reduction due 

 to model (3) 

 Reduction due 

 to model (8) 

 -reduction due 

 to model (4) 



Error 



inconsistent 

 signs in H terms 



inconsistent 

 signs in CL terms 



10 



10 



10 



inconsistent 



signs in CL terms 10 



10 



10 



inconsistent signs 



in H and CL terms 10 



inconsistent signs 



in Hand CL terms 116 



24.09107 8.03036 206.65 



7.46691 .74669 19.21 



1.45889 .14589 3.75 



1.82111 .18211 4.69 



2.34274 .24327 6.03 



1.10706 .11071 2.85 



1.36227 .13623 3.51 



1.35748 .13575 3.49 



4.50798 .03886 



'Mean In(ClV) = 2.53253 feet: standard deviation 

 ^erms varying by species are underlined. 

 ^Tabulated F values: F!?6ooi = 2.49. 



50183 



5 



