Derringer-Suich type desirability function

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Description

Returns a function evaluating a (generalized) Derringer-Suich desirability.

Usage

1

Arguments

y

y

d

d

beta

beta

Details

If only y is provided and it is a vector of length 5, a normal (l, t, u, β_1, β_2) Derringer Suich desirability is constructed. Otherwise y, d and beta specify a generalized Derringer Suich type desirability.

Value

derringerSuich returns a function.

Author(s)

Heike Trautmann trautmann@statistik.tu-dortmund.de, Detlef Steuer steuer@hsu-hamburg.de and Olaf Mersmann olafm@statistik.tu-dortmund.de

References

G. Derringer and R. Suich (1980), Simultaneous optimization of several response variables, Journal of Quality Technology, Vol. 12, No. 4:214-219.

D. Steuer (2005), Statistische Eigenschaften der Multikriteriellen Optimierung mittels Wuenschbarkeiten, PhD Thesis, http://hdl.handle.net/2003/20171.

See Also

harrington1 for one sided Harrington type desirabilities and harrington2 for two sided Harrington type desirabilities.

Examples

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## Simple (l, t, u, b0, b1) Derringer-Suich desirabilities:
d1 <- derringerSuich(c(0, 1, 2, 1, 1))
d2 <- derringerSuich(c(0, 1, 2, 2, 2))
d3 <- derringerSuich(c(0, 1, 2, .5, .5))

## Comparison of their shape:
opar <- par(mfrow=c(3, 1))
plot(d1)
plot(d2)
plot(d3)
par(opar)

## d/p/q/r examples:
ddesire(.2, d1, 0, 1)
pdesire(.5, d1, 0, 1)
qdesire(.8, d1, 0, 1)