Abstract
We introduce new criteria to obtain classification trees for ordinal response variables. At this aim, Breiman et al. (Classification and regression trees. Wadsworth, Belmont, 1984), extended their twoing criterion to the ordinal case. Following CART procedure, we extend the well known Gini–Simpson criterion to the ordinal case. Referring to the exclusivity preference property (introduced by Taylor and Silverman in Stat Comput 3:147–161, 1993, for the nominal case), suitably modified for the ordinal case, a second criterion is introduced. The hereby proposed methods are compared with the ordered twoing criterion via simulations.
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References
Agresti A (1990) Categorical data analysis. New York, Wiley
Agresti A (1981) Measures of nominal–ordinal association. J Am Stat Assoc 76:524–529
Breiman L, Friedman JH, Olshen RA, Stone CJ (1984) Classification and regression trees. Wadsworth, Belmont
Gini C (1954) Variabilità e concentrazione. Veschi, Roma
Mola F, Siciliano R (1997) A fast splitting procedure for classification trees. Stat Comput 7:209–216
Mola F, Siciliano R (1998) A general splitting criterion for classification trees. Metron 56:156–171
Piccarreta R (2001) A new measure of nominal ordinal association. J Appl Stat 28:107–120
Shih Y-S (1999) Families of splitting criteria for classification trees. Stat Comput 9:309–315
Taylor PC, Silverman BW (1993) Block diagrams and splitting criteria for classification trees. Stat Comput 3:147–161
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Piccarreta, R. Classification trees for ordinal variables. Comput Stat 23, 407–427 (2008). https://doi.org/10.1007/s00180-007-0077-5
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DOI: https://doi.org/10.1007/s00180-007-0077-5