Table 1.

Parameter levels on the three factorial designs, with respective total number of cells for each design simulation

θ	Design 1 (ACE)	Design 2 (AE)	Design 3 (AE)
b1	$\sqrt{0.025}$, $\sqrt{0.05}$	$\sqrt{0.025}$, $\sqrt{0.05}$,$\sqrt{0.075}$	$-\sqrt{0.075}$, $-\sqrt{0.03}$, $\sqrt{0.03}$, $\sqrt{0.075}$
b3	$\sqrt{0.025}$, $\sqrt{0.05}$	$\sqrt{0.025}$, $\sqrt{0.05}$, $\sqrt{0.075}$	$-\sqrt{0.075}$, $-\sqrt{0.03}$, $\sqrt{0.03}$, $\sqrt{0.075}$
g1	$\sqrt{0.020}$, $\sqrt{0.05}$	$\sqrt{0.020}$, $\sqrt{0.04}$, $\sqrt{0.06}$	$-\sqrt{0.050}$, $-\sqrt{0.020}$, $\sqrt{0.050}$, $\sqrt{0.020}$
g2	$\sqrt{0.020}$, $\sqrt{0.05}$	$\sqrt{0.020}$, $\sqrt{0.04}$, $\sqrt{0.06}$	$-\sqrt{0.050}$, $-\sqrt{0.020}$, $\sqrt{0.050}$, $\sqrt{0.020}$
ra	0.25, 0.50	0.0, 0.25, 0.50	0.3
rc	0.25, 0.50	0	0
re	0.25, 0.50	0.0, 0.25, 0.50	0.3
rf	0.25, 0.50	0.0, 0.25, 0.50	0.3
a1	$\sqrt{0.10}$, $\sqrt{0.25}$	$\sqrt{0.10}$, $\sqrt{0.25}$	$\sqrt{0.5}$
a2	$\sqrt{0.10}$, $\sqrt{0.25}$	$\sqrt{0.10}$, $\sqrt{0.25}$	$\sqrt{0.3}$
c1	$\sqrt{0.10}$, $\sqrt{0.25}$	0	0
c2	$\sqrt{0.10}$, $\sqrt{0.25}$	0	0
Total cells	212 = 4096	37*22 = 8748	44 = 256

The model specification can be seen in Fig. 2. Also, e₁ was specified as $\sqrt{1-a_1^2-c_1^2}$ and e₂ as $\sqrt{1-a_2^2-c_2^2}$. Table 4 exemplifies rows extracted from Design 3