tau3scen2 {chi2x3way} R Documentation

## Marcortchino's index for three-way contingency tables under Scenario 2

### Description

It provides the Marcotorchino' index partitioning under Scenario 2 when probabilities are set equal to the observed marginal frequencies.

### Usage

```tau3scen2(X, digits = 3)
```

### Arguments

 `X` The three-way contingency table. `digits` The minimum number of decimal places, `digits`, used for displaying the numerical summaries of the analysis. By default, `digits = 3`.

### Value

 `z` The Marcotorchino's index partition under Scenario 2, we get five terms of the tau index partition, three bivariate terms and a trivariate one. The output is in a matrix, , the six rows of this matrix indicate the tau index numerator, the tau index, the percentage of explained inertia, the \$C_M\$-statistic, the degree of freedom, the p-value, respectively.

### Note

This function belongs to the class `chi3class`.

### Author(s)

Lombardo R, Takane Y and 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.
Lombardo R Carlier A D'Ambra L (1996) Nonsymmetric correspondence analysis for three-way contingency tables. Methodologica, 4, 59-80.
Loisel S and Takane Y (2015) Partitions of Pearson's chi-square statistic for frequency tables: A comprehensive account. Computational Statistics, 31, 1429-1452.
Marcotorchino F (1985) Utilisation des comparaisons par paires en statistique des contingencies: Partie III. Etude du Centre Scientifique, IBM, France. No F 081

### Examples

```##---- Should be DIRECTLY executable !! ----
data(olive)
tau3scen2(olive)
```

[Package chi2x3way version 1.1 Index]