This function is used in the main function `CAvariants`

when the input parameter is `catype = "SONSCA"`

.
It performs the hybrid decomposition of the numerator of the Goodman-Kruskal tau index and implies an ordered (column) variable.
It compute the principal axes for rows and polynomial axes for columns, coordinates, weights of rows and columns,
inertia (equal to the numerator of the tau index), the rank of the matrix.
It allows the analyst to decompose the inertia in column polynomial components.

1 | ```
sonscabasic(Xtable, mj)
``` |

`Xtable` |
The two-way contingency table. |

`mj` |
The set of ordered column scores. |

This function belongs to the `R`

object class called `cabasicresults`

.

Rosaria Lombardo and Eric J. Beh

Beh EJ and Lombardo R 2014 Correspondence Analysis: Theory, Practice and New Strategies. John Wiley & Sons. Lombardo R Beh EJ Variants of Simple Correspondence Analysis. The R Journal (accepted).

1 2 3 | ```
data(asbestos)
mj<-c(1,2,3,4,5)
sonscabasic(asbestos,mj)
``` |

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