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can be added to obtain a minimum design for a quadratic model, which has a

condition number of 6.3 (see Figure 3.9).

The 2-D full factorial design with three levels shown in Table 3.5 has a

better condition number (4.4) for a quadratic model.

3-D designs

In three dimensions, the four point design of Table 3.6 is best for a linear

model.

It can be expanded to a full factorial design (see Table 3.7), which is

appropriate for an interaction model.

Also at three dimensions, the star design shown in Table 3.8 is less

accurate and requires more work than the minimum design of Table 3.6.

However, combining the centred star design with the full factorial design

of Table 3.7 gives a so-called composite centred design, suitable for a quad-

ratic model, having a condition number of 4.4. If fewer points are wanted,

Figure 3.9 Minimum design for a 2- D quadratic model

Table 3.5 2-D full factorial design with three leve ls

No x y No x y

1 1 16 10

201711

3118 01

4 109 11

500

Table 3.6 Minimum 3-D design for assessing the coeﬃcients of a linear model

No x y z

1 1 11

211 1

3 111

4111

Age of Air and Ventilation Eﬃciency 55

1 2 ... 71 72 73 74 75 76 77 78 79 80 81 ... 210 211

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Sharp JX-9400 Technical Information Seite 76