
the points 8, 5 and 2 can be deleted (in that order) giving finally a design
having 12 points and a condition number of 4.8. Finally, deleting two more
points (3 and 15) gives the design C3, which has six points in the centre of
the faces and four points at opposite corners (see Figure 3.10).
The condition number of M
T
M calculated using the absolute value norm
|M
T
M| for these designs and three models is given in Table 3.9.
There are numerous other possibilities that can be imagined or found in
the literature.
Table 3.7 Full factorial design for assessing the coefficients of a linear model
with interactions
No x y z
1 1 1 1
211 1
3 111
4111
5 1 11
6111
7 111
8111
Table 3.8 3-D centred star design
No x y z
9100
10 0 1 0
11 0 0 1
12 100
13 0 10
14 0 0 1
15 0 0 0
Figure 3.10 Experimental designs C3 (left) and composite centred (right)
56 Ventilation and Airflow in Buildings
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