Research Article

Determinant Efficiencies in Ill-Conditioned Models

Table 2

Squared canonical correlations between designated subsets ( 𝜷 𝑖 , 𝜷 𝑗 ) of estimators for eight small second-order designs.

Subsets H 3 1 0 H 3 1 1 B S C D B B D C C D N D H D B D D

{ 0 L , Q I } 0.81990 0.90909 0.90909 0.92308 0.93333 0.89333 0.79476 0.81304
0.40000 0.11111 0.54261 0.11721
0.40000 0.11111 0.11111 0.11721
0.40000 0.11111 0.03524

{ L , Q } 0.11111 0.11111 0.06461
0.11111 0.11111 0.01413
0.08333 0.00631 0.01413

{ L , Q I } 0.40000 0.11111 0.54456 0.11721
0.40000 0.11111 0.11111 0.11721
0.40000 0.08333 0.11111 0.09890

{ Q , I } 0.03153 0.10418
0.10418
0.00196

{ 0 , L } 0.10714 0.11790 0.02281
{ 0 , Q } 0.81990 0.90909 0.90909 0.92308 0.93333 0.89286 0.64103 0.79815
{ 0 , I } 0.04918 0.00220
{ 0 , L Q I } 0.81990 0.90909 0.90909 0.92308 0.93333 0.89610 0.81818 0.80440