ddesire: Generic Distribution functions for desirabilities In desire: Desirability functions

Description

Generic density, distribution, quantile and random number generation functions for desirability functions.

Usage

 ``` 1 2 3 4 5 6 7 8 9 10 11 12``` ```## Default S3 method: ddesire(x, f, mean = 0, sd = 1) ## Default S3 method: pdesire(q, f, mean = 0, sd = 1) ## Default S3 method: qdesire(p, f, mean = 0, sd = 1) ## Default S3 method: rdesire(n, f, mean = 0, sd = 1) ## Default S3 method: edesire(f, mean, sd) ## Default S3 method: vdesire(f, mean, sd) ```

Arguments

 `x,q` Vector of quantiles. `p` vector of probabilies. `n` number of observations. `f` desirability function `mean` vector of means. `sd` vector of standard deviations.

Value

'ddesire' gives the density, 'pdesire' gives the distribution function, 'qdesire' gives the quantile function, and 'rdesire' generates random deviates.

'edesire' and 'vdesire' return the expectation and variance of the function.

Note

The default implementations for `pdesire`, `qdesire`, `edesire` and `vdesire` are only approximations obtained by estimating the desired property from a random sample.

Author(s)

Heike Trautmann [email protected], Detlef Steuer [email protected] and Olaf Mersmann [email protected]

For desirability functions: `harrington1` and `harrington2`
 ``` 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27``` ```data(Chocolate) ## Fit linear model to data: m.d90 <- lm(d90 ~ rt + as + I(rt^2) + I(as^2) + rt:as, Chocolate) m.Fe <- lm(Fe ~ rt + as + I(rt^2) + I(as^2) + rt:as, Chocolate) ## Define desirability functions: d.d90 <- harrington2(21, 22, 1) d.Fe <- harrington1(22, 0.8, 28, 0.2) ## Plot density of desirability in rt=30, as=50: df <- data.frame(rt=30, as=50) y.Fe <- predict(m.Fe, df) sigma.Fe <- summary(m.Fe)\$sigma y.d90 <- predict(m.d90, df) sigma.d90 <- summary(m.d90)\$sigma ## Plot curve of density function: opar <- par(mfrow=c(2,1)) curve(ddesire(x, d.d90, y.d90, sigma.d90), 0, 1, main="d.90", n=202) curve(ddesire(x, d.Fe, y.Fe, sigma.Fe), 0, 1, main="Fe", n=202) par(opar) ## Integrate: integrate(function(x) ddesire(x, d.d90, y.d90, sigma.d90), 0, 1) integrate(function(x) ddesire(x, d.Fe, y.Fe, sigma.Fe), 0, 1) ```