tripling: Creates a New Design Matrix with Generating Equations
In vinny-paris/TripleFrac: Triple Fold Designs

Description Usage Arguments Value Examples

This function takes in a system of equations and an orginal design matrix. The output will be a new design matrix of three times the size of the orginal. This acts very similar to triple_fold but how it goes about exapnding the orgiinal design matrix is different in view points (but can be shown to be exactly equivalent).

1	tripling(design_matrix, l)

`design_matrix`	The original design matrix that you would like expanded upon, must come in coded with 0,1,2's
`l`	The system of equations. There must be f-1 equations for f being the number of factors. This should come in as a matrix with a unique, independent equation on each row. Each element of each equation must be coded 0, 1, or 2.

This will return a list of two parts

`Aliased_with_Fraction`	These are the effects that are still confounded with the intercept
`Design_Matrix`	This is a matrix that is coded 0,1,2 that is the triple foldover created new Design Matrix that is 3 times the size of the orginal design matrix.

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design <- matrix(c(1,2,1,0,0,1,1,0,1,2,2,0), byrow = TRUE, nrow = 3)
x <- matrix(c(1,0,2,1, 0,1,2,0, 1,1,2,1), nrow = 3, byrow = TRUE)
tripling(design, x)