r3dtable {chi2x3way} R Documentation

## Simulations for generating three-way contingency tables

### Description

It allows 1) the generation of `nboots=1000` randomly tables where the row, column, tube probabilities can be prescribed by the analyst. By default, they are uniform.

### Usage

```r3dtable(I = 3, J = 3, K = 3, pi=rep(1/I,I), pj=rep(1/J,J), pk=rep(1/K,K), nboots = 1000,
nran = 10000, digits = 3)
```

### Arguments

 `I` The number `I` is set equal to the rows of the input table `X`. `J` The number `J` is set equal to the columns of the input table `X`. `K` The number `K` is set equal to the tubes of the input three-way table `X`. `pi` The prescribed row probabilities. By default, they are homogeneous. `pj` The prescribed column probabilities. By default, they are homogeneous. `pk` The prescribed tube probabilities. By default, they are homogeneous. `nboots` The number of the random three-way tables that you want to generate. `nran` The total number of individuals of each generated three-way table. `digits` The minimum number of decimal places, `digits`, used for displaying the numerical summaries of the analysis. By default, `digits = 3`.

### Value

 `XB` The `nboots=1000` randomly generated three-way tables. `XB[[i]]\$pi ` The row, prescribed probabilities of the i.th randomly generated three-way table. `XB[[i]]\$pj ` The column, prescribed probabilities of the i.th randomly generated three-way table. `XB[[i]]\$pk` The tube, prescribed probabilities of the i.th randomly generated three-way table. `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.

### Note

This function allows the generation of random tables under the complete independence with different theoretical probabilities.

### Author(s)

Lombardo R, Takane Y, Beh EJ

### References

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

### Examples

```r3dtable(I = 3, J = 3, K = 3, pi=rep(1/3,3), pj=rep(1/3,3), pk=rep(1/3,3),
nboots = 10, nran = 1000, digits = 3)
```

[Package chi2x3way version 1.1 Index]