# Full model matrix from a design matrix

### Description

The function builds the full matrix with the constant term, main effects and interactions from a design matrix.

### Usage

1 | ```
ffFullMatrix(X, x, maxInt, blk = NULL)
``` |

### Arguments

`X` |
numeric matrix. Design matrix. |

`x` |
numeric vector. Design matrix entries to use to construct the full model matrix. |

`maxInt` |
numeric. Highest interaction order. |

`blk` |
numeric matrix. Each column correspond to a blocking factor. |

### Details

Columns `x`

of matrix `X`

are used for main effects. All
the 2, ... , `maxInt`

order interaction are constructed.
The first columns of the final matrix correspond to the constant term (1's)
and block factors.

### Value

The function returns list with the following components:

`Xa` |
matrix |

. Augmented matrix with columns for the constant terms, blocking factors, main effects, second order interactions, ..., etc.

`x` |
numeric vector. Design matrix |

`maxInt` |
numeric. The highest interaction order. |

`nTerms` |
numeric vector. Contains the number of blocking factors, main effects, 2nd order interaction effects, ... , etc. |

### Author(s)

Ernesto Barrios

### See Also

`ffDesMatrix`

### Examples

1 2 3 | ```
print(X <- ffDesMatrix(5,gen=list(c(5,1,2,3,4))))
ffFullMatrix(X[,1:4],x=c(1,2,3,4),maxInt=2,blk=X[,5])
ffFullMatrix(X[,1:5],x=c(1,3,5),maxInt=3)
``` |

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