Mean-Min Function

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Description

The Mean-Min Function (MMF) is an intermediate case between arithmetic mean, according to which no unbalance is penalized, and min function, according to which the penalization is maximum. It depends on two parameters that are respectively related to the intensity of penalization of unbalance (α) and intensity of complementarity (β) among indicators.

Usage

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ci_mean_min(x, indic_col, alpha, beta)

Arguments

x

A data.frame containing simple indicators.

indic_col

Simple indicators column number.

alpha

The intensity of penalisation of unbalance among indicators, 0 ≤ α ≤ 1

beta

The intensity of complementarity among indicators, β ≥ 0

Value

An object of class "CI". This is a list containing the following elements:

ci_mean_min_est

Composite indicator estimated values.

ci_method

Method used; for this function ci_method="mean_min".

Author(s)

Vidoli F.

References

Casadio Tarabusi, E., & Guarini, G. (2013) "An unbalance adjustment method for development indicators", Social indicators research, 112(1), 19-45.

See Also

ci_mpi, normalise_ci

Examples

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data(EU_NUTS1)
data_norm = normalise_ci(EU_NUTS1,c(2:3),c("NEG","POS"),method=2)
CI = ci_mean_min(data_norm$ci_norm, alpha=0.5, beta=1)