Auxiliary function for caim discretization algorithm
This function is required to compute the CAIM value for CAIM iscretization algorithm.
caim(tb)
tb |
a vector of observed frequencies |
The Class-Attrivute Interdependence Maximization(CAIM) discretization algorithm implements in disc.Topdwon(data,method=1). The CAIM criterion measures the dependency between the class variable and the discretization variable for attribute, and is defined as :
CAIM=\frac{{∑_{r=1}^n} \frac{max^2_r}{M_+r} }{n}
for r=1,2, ... , n, max_r is the maximum value within the rth column of the quanta matrix. M_{+r} is the total number of continuous values of attribute that are within the interval(Kurgan and Cios (2004)).
HyunJi Kim polaris7867@gmail.com
Kurgan, L. A. and Cios, K. J. (2004). CAIM Discretization Algorithm, IEEE Transactions on knowledge and data engineering, 16, 145–153.
#----Calculating caim value a=c(3,0,3,0,6,0,0,3,0) m=matrix(a,ncol=3,byrow=TRUE) caim(m)
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