tauMbootQQ {chi2x3way} | R Documentation |

It allows
1) the generation of `nboots=1000`

randomly tables where the
row, column, tube probabilities are set equal to the observed margins of the three-way table considered for the partition under Scenario 2.
While under Scenario 1, the row, column, tube probabilities are prescribed by the analyst. By default, they are homogeneous.

tauMbootQQ(rows = 3, cols = 3, tubs = 3, nboots = 1000, nran = 10000, digits = 3, scen=2, pi, pj, pk)

`rows` |
The number of |

`cols` |
The number of |

`tubs` |
The number of |

`nboots` |
The number of three-way tables randomly generated. |

`nran` |
The total number of individuals of each generated three-way table. |

`digits` |
The minimum number of decimal places, |

`scen` |
The input parameter for specifying the Scenario under which the theoretical probabilities are computed. Under Scenario 1 the probabilities are prescribed by the analyst, by default they are set homogeneous. |

`pi` |
The prescribed row probabilities. By default they are equal to the row margins of the input three-way table |

`pj` |
The prescribed column probabilities. By default they are equal to the column margins of the input three-way table |

`pk` |
The prescribed tube probabilities. By default they are equal to the tube margins of the input three-way table |

`XG` |
The |

`margI ` |
The row observed margins of the randomly generated three-way table. |

`margJ ` |
The column observed margins of the randomly generated three-way table. |

`margK ` |
The tube observed margins of the randomly generated three-way table. |

`ytau` |
The table of the terms of the Marcotorchino's index and of the $C_M$-statistic partition, associated to each of the randomly generated three-way table. |

`ytauNew` |
The table of the new expression of the terms of the $C_M$-statistic partition, associated to each of the randomly generated three-way table. |

`ychi` |
The table of the terms of the chi-square index partition associated to each of the randomly generated three-way table. |

`chidf` |
The table of the degree of freedom related to each terms of the chi-square index partition of the randomly generated three-way table. |

`cont` |
The number of the randomly generated three-way table whose margin products is less than 5. |

This function allows the generation of random tables under different theoretical probabilities.
It allow to depict graphically the three-way index distribution. From calling the function `QQplot`

, a QQ-plot is produced for each term of the partition of
three indices: the Pearson's index, the classic $C_M$-statistic and of the revised $C_M$-statistic.

Lombardo R, Takane Y and Beh EJ

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

Carlier A Kroonenberg PM (1996) Biplots and decompositions in two-way and three-way correspondence analysis. Psychometrika, 61, 355-373.

Lancaster H O (1951) Complex contingency tables treated by the partition of the chi-square. Journal of Royal Statistical Society, Series B, 13, 242-249.

Loisel S and Takane Y (2016) Partitions of Pearson's chi-square ststistic for frequency tables: A comprehensive account. Computational Statistics, 31, 1429-1452.

tauMbootQQ(rows = 3, cols = 3, tubs = 3, nboots = 10, nran = 1000, digits = 3, pi=rep(1/3,3), pj=rep(1/3,3), pk=rep(1/3,3))

[Package *chi2x3way* version 1.1 Index]