chi3ordered: The partition of the Pearson three-way index.
Description
When three categorical variables are symmetrically related, we can analyse the strength of
the symmetrical association using the three-way Pearson statistic.
The function chi3ordered partitions the Pearson phi-squared statistic using orthogonal polynomials
when, in CA3variants, we set the parameter ca3type = "OCA3".
Usage
chi3ordered(f3, digits = 3)
Value
The partition of the Pearson index into three two-way 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.
Arguments
f3
The three-way contingency array given as an input parameter in CA3variants.
digits
The number of decimal digits. By default digits=3.
Author
Rosaria Lombardo, Eric J Beh, Ida Camminatiello.
References
Lombardo R, Beh EJ and Kroonenberg PM (2021) Symmetrical and Non-Symmetrical Variants of Three-Way Correspondence Analysis for Ordered Variables.
Statistical Science, 36 (4), 542-561.