rsmDesign: rsmDesign: Generate a response surface design.

In r6qualitytools: R6-Based Statistical Methods for Quality Science

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
)

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).

Value

The function returns an object of class facDesign.c.

See Also

facDesign, fracDesign, fracChoose, pbDesign, rsmChoose

Examples

# 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)

r6qualitytools documentation built on Oct. 4, 2024, 1:09 a.m.