One function for calculating the S-optimality criterion is provided here. This help file documents this function and also describes optimality criteria from other related packages, referring to space filling optimality like the S criterion or to model-based optimality like the well-known D-criterion.
This package creates various kinds of designs for (industrial) experiments. It uses, and sometimes enhances, design generation routines from other packages. So far, response surface designs from package rsm, designs for computer experiments (latin hypercube samples etc.) from packages lhs and DiceDesign and D-optimal designs from package AlgDesign have been implemented.
Dopt.design
(Package: DoE.wrapper) :
Function for creating D-optimal designs with or without blocking from package AlgDesign
Function for comfortably creating a D-optimal design with or without blocking based on functions optFederov or optBlock from package AlgDesign; this functionality is still somewhat experimental.
rsmformula
(Package: DoE.wrapper) :
Functions for supporting response surface analysis with package rsm
These functions support response surface analysis with package rsm. Function rsmformula creates a model formula for use with function rsm, using the FO, TWI and PQ notation. Function code.design prepares a fractional factorial 2-level design with center points from package FrF2 or a ccd, bbd or lhs design from this package for convenient use with package rsm functionality, function decode.design reverses the coding action.
lhs.design
(Package: DoE.wrapper) :
Functions for accessing latin hypercube sampling designs from package lhs
Functions for comfortably accessing latin hypercube sampling designs from package lhs or space-filling designs from package DiceDesign, which are useful for quantitative factors with many possible levels. In particular, they can be used in computer experiments. Most of the designs are random samples.
providing 
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