rsmDesign: rsmDesign: Generate a response surface design.

Description

Generates a response surface design containing a cube, centerCube, star, and centerStar portion.

Usage

rsmDesign(
  k = 3,
  p = 0,
  alpha = "rotatable",
  blocks = 1,
  cc = 1,
  cs = 1,
  fp = 1,
  sp = 1,
  faceCentered = FALSE
)

Value

The function returns an object of class facDesign.c.

Arguments

k: Integer value giving the number of factors. By default, k is set to `3`.
p: Integer value giving the number of additional factors in the response surface design by aliasing effects. Default is `0`.
alpha: Character string indicating the type of star points to generate. Should be `rotatable`(default), `orthogonal`, or `both`. If `both`, values for cc and cs will be discarded.
blocks: Integer value specifying the number of blocks in the response surface design. Default is `1`.
cc: Integer value giving the number of centerpoints (per block) in the cube portion (i.e., the factorial 2^k design) of the response surface design. Default is `1`.
cs: Integer value specifying the number of centerpoints in the star portion. Default is `1`.
fp: Integer value giving the number of replications per factorial point (i.e., corner points). Default is `1`.
sp: Integer value specifying the number of replications per star point. Default is `1`.
faceCentered: Logical value indicating whether to use a faceCentered response surface design (i.e., alpha = `1`). Default is FALSE.

Details

Generated designs consist of a cube, centerCube, star, and centerStar portion. The replication structure can be set with the parameters cc (centerCube), cs (centerStar), fp (factorialPoints), and sp (starPoints).

Examples

Run this code

# Example 1: Central composite design for 2 factors with 2 blocks, alpha = 1.41,
# 5 centerpoints in the cube portion and 3 centerpoints in the star portion:
rsmDesign(k = 2, blocks = 2, alpha = sqrt(2), cc = 5, cs = 3)

# Example 2: Central composite design with both, orthogonality and near rotatability
rsmDesign(k = 2, blocks = 2, alpha = "both")

# Example 3: Central composite design with:
# 2 centerpoints in the factorial portion of the design (i.e., 2)
# 1 centerpoint in the star portion of the design (i.e., 1)
# 2 replications per factorial point (i.e., 2^3*2 = 16)
# 3 replications per star point (i.e., 3*2*3 = 18)
# Makes a total of 37 factor combinations
rsdo = rsmDesign(k = 3, blocks = 1, alpha = 2, cc = 2, cs = 1, fp = 2, sp = 3)