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This function is called from the function oca3basic
when in CA3variants
we set
ca3type = "OCA3"
. It allows the analyst to compute the orthogonal polynomials of
the ordered categorical variable. The number of the polynomials is equal to the variable category less one.
The function computes the polynomial transformation of the ordered categorical variable.
emerson.poly(mj, pj)
Describe the value returned
The matrix of the orthogonal polynomials without the trivial polynomial.
The ordered scores of an ordered variable. By default mj = NULL
, the natural scores
(1,2,...) are computed.
The marginals, relative frequencies of the ordered variable.
Rosaria Lombardo and Eric J Beh.
Beh EJ and Lombardo R (2014) Correspondence Analysis: Theory, Practice and New Strategies. John Wiley & Sons.
Emerson PL (1968) Numerical construction of orthogonal polynomials from a general recurrence formula. Biometrics, 24 (3), 695-701.
Lombardo R Beh EJ (2016) Variants of Simple Correspondence Analysis. The R Journal, 8 (2), 167--184.