tau3ordered {CA3variants}

The partition of the Marcotorchino three-way index.

Description

When three categorical variables are symmetrically related, we can analyse the strength of the association using the three-way Marcotorchino index. The function chi3 partitions the Marcotorchino statistic using orthogonal polynomials when, in CA3variants, we set the parameter ca3type = "ONSCA3".

Usage

tau3ordered(f3, digits = 3)

Arguments

f3

The three-way contingency array given as an input parameter in CA3variants.

digits

The number of decimal digits. By default digits=3.

Value

The partition of the Marcotorchino index into three two-way non-symmetrical association terms and one three-way association term. It also shows the polynomial componets of inertia, the percentage of explained inertia, the degrees of freedom and p-value of each term of the partition.

Author(s)

Rosaria Lombardo, Eric J Beh.

References

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

Examples

#data(olive)
tau3ordered(f3 = olive, digits = 3)