caim {discretization}

Auxiliary function for caim discretization algorithm

Description

This function is required to compute the CAIM value for CAIM iscretization algorithm.

Usage

caim(tb)

Arguments

tb

a vector of observed frequencies

Details

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{{\sum_{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)).

Author(s)

HyunJi Kim [e-mail]

References

Kurgan, L. A. and Cios, K. J. (2004). CAIM Discretization Algorithm, IEEE Transactions on knowledge and data engineering, 16, 145–153.

See Also

disc.Topdown, topdown, insert, findBest.

Examples

#----Calculating caim value
a=c(3,0,3,0,6,0,0,3,0)
m=matrix(a,ncol=3,byrow=TRUE)
caim(m)