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De Soete (1986, 1988) proposed some years ago a method for optimal variable weighting for ultrametric and additive tree fitting. This paper extends De Soete’s method to optimal variable weighting for K-means partitioning. We also describe some new features and improvements to the algorithm proposed by De Soete. Monte Carlo simulations have been conducted using different error conditions. In all cases (i.e., ultrametric or additive trees, or Kmeans partitioning), the simulation results indicate that the optimal weighting procedure should be used for analyzing data containing noisy variables that do not contribute relevant information to the\udclassification structure. However, if the data involve error perturbed variables that are relevant to the classification or outliers, it seems better to cluster or partition the entities by using variables with equal weights. A new computer program, OVW, which is available to researchers as freeware, implements improved algorithms for optimal variable weighting for ultrametric and additive tree clustering, and includes a new algorithm for optimal variable weighting for K-means partitioning

Optimal Variable Weighting for Ultrametric and Additive Trees and K-means Partitioning: Methods and Software