Description Usage Arguments Details Value Author(s) References Examples

This function performs the three-way symmetrical (when `ca3type = "CA3"`

) and non-symmetrical
correspondence analysis (when `ca3type = "NSCA3"`

) by using the Tucker3 decomposition
and an ordered variant of three-way symmetrical correspondence analysis (when `ca3type = "OCA3"`

)
by using the Trivariate Moment Decomposition. The non-symmetrical variant considers the three
variables asymmetrically related, such that one of the variables is the response to be predicted
given the other two variables. It calculates the coordinates and inertia values of the chosen analyses.

1 2 |

`Xtable` |
The three-way data array. It must be an |

`p` |
The number of components for the first mode. By default, |

`q` |
The number of components for the second mode. By default, |

`r` |
The number of components for the third mode. By default, |

`ca3type` |
The specification of the analysis to be performed.
If |

`test` |
Threshold used in the algorithm for stopping it after the convergence of the solutions. |

`norder` |
The input parameter for specifying the number of ordered variable when |

This function recall internally many other functions, depending on the setting of the input parameters.
After performing three-way symmetric or non-symmetric correspondence analysis, it recall two functions for printing and plotting the results.
These two important functions are `print.CA3variants`

and `plot.CA3variants`

.

The value of output returned depends on the kind of analysis performed.
For a detailed description of the output one can see:

the output value of `ca3basic`

if the input parameter is `ca3type="CA3"`

;
the output value of `nsca3basic`

if the input parameter is `ca3type="NSCA3"`

;
the output value of `oca3basic`

if the input parameter is `ca3type="OCA3"`

the output value of `onsca3basic`

if the input parameter is `ca3type="ONSCA3"`

Rosaria Lombardo, Eric J Beh, Ida Camminatiello.

Beh EJ and Lombardo R (2014). Correspondence Analysis, Theory, Practice and New Strategies. John Wiley & Sons.

Kroonenberg PM (1994). The TUCKALS line: a suite of programs for three-way data analysis. Computational Statistics and Data Analysis, 18, 73–96.

1 2 3 4 5 | ```
data(happy)
CA3variants(happy,p=2,q=2,r=2, ca3type = "CA3")
CA3variants(happy,p=2,q=2,r=2, ca3type = "OCA3")
CA3variants(happy,p=2,q=2,r=2, ca3type = "NSCA3")
CA3variants(happy,p=2,q=2,r=2, ca3type = "ONSCA3")
``` |

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