Formalism

"Recipe" is a factor setting ${\bf X} \in \mbox{$I \! \! R$ }^F$ .
"Product belonging to a recipe" is a point $P({\bf X}) \in \mbox{$I \! \! R$ }^Z$ .
The coordinates of P define its properties Y_i.

$Y_i(P) = p_i, \; i = 1,\ldots,Z$ (targets, objectives)

$Y_i(P) = f_i(X_{1},\ldots ,X_{F}, \epsilon_i),\; i= 1, \ldots, Z, \; \epsilon_i$ "error"

$P(X) := P = \left( \begin{array}{c} Y_1(P) \\ Y_2(P) \\ \vdots \\ Y_Z(P) \\ ... ...) \\ \vdots \\ f_Z(X_{1},\ldots ,X_{F}, \epsilon_Z) \\ \end{array} \right)$

Dipl.-Stat. Detlef Steuer
1999-10-04