chi3 function

The partition of the Pearson three-way index

When three categorical variables are symmetrically related, we can analyse the strength of the association using the three-way Pearson mean square contingency coefficient, named the chi-squared index. The function chi3 partitions the Pearson phi-squared statistic when in CA3variants

we set the parameter ca3type = "CA3".

chi3(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.

Returns

The partition of the Pearson index into three two-way association terms and one three-way association term. It also shows the explained inertia, the degrees of freedom and p-value of each term of the partition.

References

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

Carlier A and Kroonenberg PM (1996) Decompositions and biplots in three-way correspondence analysis. Psychometrika, 61, 355-373.

Author(s)

Rosaria Lombardo, Eric J Beh, Ida Camminatiello.

Examples

data(happy)
chi3(f3=happy, digits=3)