Doeinteractions

Purpose

Creates product combinations of columns of a DOE matrix.

Synopsis

[xint,column_ID] = doeinteractions(x, column_ID)

Description

Creates product combinations of columns of a DOE matrix.

Inputs

• x = the raw DOE matrix (x) and
• column_ID = type of interactions to include in the final DOE as either:

(A) a scalar numerical value indicating the highest number of interacting factors to include (A value of 1 (one) indicates no interactions)

Example: [2]

(B) a cell array of numerical vectors indicating which column(s) should be combined an in what way(s) to create the interaction terms.

Example: { [1] [2] [3] [1 3] }

Scalar cell entries will copy the specified column(s) directly from (x) into (xint). Vector cell entries will multiply the corresponding columns together to create the output column.

Outputs

• xint = selected columns and column products from x based on column_ID.
• column_ID = cell array of interactions identical to the input (if a cell array was given as input) or created as needed for the given scalar interaction level (if scalar provided as input column_ID).

Example

if the following column_ID value is used then xint will contain the first three columns of x (unmodified), followed by two additional columns which are the product of columns 1 and 2 and the product of columns 2 and 3, respectively.

column_ID = {[1] [2] [3] [1 2] [2 3]}

See Also

anova_doe, factdes, ffacdes1