emerson.poly {CA3variants} | R Documentation |
Orthogonal polynomials
Description
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.
Usage
emerson.poly(mj, pj)
Arguments
mj |
The ordered scores of an ordered variable. By default |
pj |
The marginals, relative frequencies of the ordered variable. |
Value
Describe the value returned
B |
The matrix of the orthogonal polynomials without the trivial polynomial. |
Note
Note that the sum of the marginals of the ordered variables should be one.
Author(s)
Rosaria Lombardo and Eric J Beh.
References
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.