Description Usage Arguments Details Value Author(s) References See Also Examples

Computes the decomposition of the Bonferroni point inequality indexes of a statistical variable *Y* described in the object `x`

.

1 | ```
bonferroni(x)
``` |

`x ` |
An object of class |

`bonferroni`

computes the decomposition of the Bonferroni point inequality indexes from the object `x`

of class `"dataProcessed"`

. `x`

is usually the result of `dataProcessing`

function.

`index ` |
String denoting computed index. |

`decomposition ` |
Array containing the decompositions. The dimensions of |

`x ` |
Object of class |

Alberto Arcagni, Igor Valli.

Zenga M., Valli I. (2017). Joint decomposition by Subpopulations and Sources of the Point and Synthetic Bonferroni Inequality Measures. Statistics and Applications, XV (2), pp. 83-120.

`gini`

and `zenga`

for other inequality indexes and `dataProcessing`

for the class `"dataProcessed"`

.

1 2 3 4 5 6 7 8 9 10 11 | ```
G <- c(1, 2, 3, 1, 2, 3, 1, 1, 2, 3, 3, 3) # vector denoting group membership
X1 <- c(0, 0, 0, 500, 700, 300, 750, 1000, 500, 500, 500, 1000) # vector of the first source
X2 <- c(0, 0, 0, 500, 300, 700, 750, 500, 700, 700, 1000,600) # vector of the second source
data <- data.frame(G, X1, X2) # no sample weights are considered
x <- dataProcessing( # data preparation
units = data[, c('X1', 'X2')],
groups = data[, 'G'],
)
decomposition <- bonferroni(x)
decomposition
``` |

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