Determinant Efficiencies in Ill-Conditioned Models

Table 3

Vector Alienation Coefficients 𝛾(𝜷_𝑖∶𝜷_𝑗) between subsets (𝜷_𝑖,𝜷_𝑗) of estimators, and the factor 𝑎𝑏𝑐=[𝛾(0∶𝐿𝑄𝐼)𝛾(𝐿∶𝑄𝐼)𝛾(𝑄∶𝐼)]^1/10, for each of eight small second-order designs.

Subsets	H310	H311B	SCD	BBD	CCD	ND	HD	BDD
{0L,QI}	0.18010	0.09091	0.01964	0.07692	0.06667	0.08428	0.07417	0.14057
{L,Q}	1.00000	1.00000	1.00000	1.00000	1.00000	0.72428	0.78514	0.90914
{L,QI}	1.00000	1.00000	0.21600	1.00000	1.00000	0.72428	0.35986	0.70225
{Q,I}	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	0.96847	0.80092
{0,L}	1.00000	1.00000	1.00000	1.00000	1.00000	0.89286	0.88210	0.97719
{0,Q}	0.18010	0.09091	0.09091	0.07692	0.06667	0.10714	0.35897	0.20185
{0,I}	1.00000	1.00000	1.00000	1.00000	1.00000	1.00000	0.95082	0.99780
{0,LQI}	0.18010	0.09091	0.09091	0.07692	0.06667	0.10390	0.18182	0.19566
𝑎𝑏𝑐	0.84246	0.78679	0.67500	0.77376	0.76277	0.77206	0.75890	0.80197