Description Usage Arguments Details Value Note Author(s) References

It produces elliptical confidence regions when symmetrical or ordered symmetrical correspondence analysis is performed.
This function allows the analyst to superimpose confidence ellipses onto a graphical display when the input parameter `catype`

of the main function `CAvariants`

is set to `"CA", "SOCA"`

or `"DOCA"`

.
It is called internally from the main plot function `plot.CAvariants`

.
It uses the function `ellipse`

.

1 2 3 4 |

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

`a1` |
The axis number of the horizontal axis. |

`a2` |
The axis number of the vertical axis. |

`alpha` |
The confidence level of the elliptical regions. By default, |

`cols` |
The graphical parameter for setting the colours of the points in the graphical displays. |

`M` |
The number of axes used for constructing the confidence ellypses. By default, |

`cex` |
The parameter for setting the size of the character labels for the points in a graphical display. By default, |

`cex.lab` |
The parameter for setting the size of character labels of axes in graphical displays. By default, |

`mar` |
The parameter for setting the size of the plotting area. By default, |

`prop` |
The scaling parameter for specifying the limits of the plotting area. By default, |

`Imass` |
The weight matrix of the row variable. |

`Jmass` |
The weight matrix of the column variable. |

`a` |
The row standard coordinates or, in case of the ordered variants of CA, the row standard polynomial coordinates. |

`b` |
The column standard coordinates or, in case of the ordered variants of CA, the column standard polynomial coordinates. |

`f` |
The row principal coordinates (scaled by a constant, by default |

`g` |
The column principal coordinates (scaled by a constant, by default |

`dmu` |
The squared singular values, or principal inertia, of each axis. |

`inertiapc` |
The percentage of explained inertia along each of the axes. |

`pos` |
The parameter that specifies the position of label of each point in the graphical display. By default, |

`plottype` |
The type of graphical display to be constructed. By default, |

`biptype` |
The parameter for specifying the type of biplot. By default, |

`arrow` |
The parameter used for diplaying the arrows in a biplot.
By default, |

`length` |
The parameter used for setting the length of the arrow end in a biplot. By default, |

`ell` |
The logical parameter used for displaying the confidence ellipses. By default, |

The output values of this function.

`eccentricity` |
The eccentricity of the ellipses. This is the distance between the centre of the ellipse and its two foci, which can be thought of as a measure of how much the conic section deviates from being circular (when the region is perfectly circular, eccentricity is zero). |

`HL Axis 1` |
Value of the semi-major axis length for each row and column point. |

`HL Axis 2` |
Value of the semi-minor axis length for each row and column point. |

`Area` |
Area of the ellipse for each row and column point. |

`pvalcol` |
Approximate p-value for each of the row and column points. |

This function is called from the main plot function `plot.CAvariants`

and is executed when
`ell = TRUE`

.

Rosaria Lombardo and Eric J Beh

Beh EJ 2010 Elliptical confidence regions for simple correspondence analysis. J. Stat. Plan.
Inference 140, 2582–2588.

Beh EJ and Lombardo R 2014 Correspondence Analysis: Theory, Practice and New Strategies. Wiley.

Beh EJ Lombardo R 2015 Confidence regions and Approximate P-values for classical and non-symmetric correspondence analysis.
Journal of Communications and Statistics, Theory and Methods. 44: 95–114.

Lombardo R Beh EJ 2016 Variants of Simple Correspondence Analysis. The R Journal, 8 (2), 167–184.

CAvariants documentation built on Jan. 14, 2019, 5:04 p.m.

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