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Complementary fractions to separate confounded effects

To illustrate the principles, a 2 fractional factorial design is discussed. The complete variable matrix from a 2 design is used as a base. Assume that the extra variables 4 and 5 have been defined as 4 = 12 and 5 = 13 which give the independent generators [Pg.142]

The design is a Resolution III design and main effects are confounded with two-variable interaction effects. The design is one quarter of a full, 2 , factorial design. [Pg.143]

4 = -12 and 5 = —13. These different ways of defining the extra variables correspond to different sets of generators  [Pg.143]

The first two are the independent generators, and 2345 has been obtained by multiplying the independent generators. As the sets of generators are different, the confounding patterns will be different. For clarity, only main effect and two—variable interaction effects are shown. [Pg.143]

Assume that a series of experiments has been run according to fraction A. We can then run a second series of experiments as specified by another fraction. It is seen that fraction D is complementary to fraction A in such a way that all main effect can be separated from confoundings with two-variable interaction effect. The two-variable infraction effects will, however be confounded with each other. [Pg.143]


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Complementariness

Complementary

Complementary fraction

Complementary separation

Confounded

Confounded effect

Confounding

Confounding effects

Effect fraction

Fractionation separation

Separation fractions

Separators effects

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