Exploring shape using goodness-of-fit measures

Goodness-of-Fit Measures for Induction Trees

This paper is concerned with the goodness-of-fit of induced decision trees. Namely, we explore the possibility to measure the goodnessof-fit as it is classically done in statistical modeling. We show how Chisquare statistics and especially the Log-likelihood Ratio statistic that is abundantly used in the modeling of cross tables, can be adapted for induction trees. Not only is the Log-likelihoo...

Goodness of fit measures for discrete categorical data

A goodness of fit χ 2 test evaluates the degree to which an observed discrete distribution over one dimension differs from another. A typical application of this test is to consider whether a specialisation of a set, i.e. a subset, differs in its distribution from a starting point (Wallis forthcoming). Like the chi-square test for homogeneity (2 × 2 or generalised row r × column c test), the nu...

Goodness of Fit

Nonparametric Goodness-of-fit

This paper develops an approach to testing the adequacy of both classical and Bayesian models given sample data. An important feature of the approach is that we are able to test the practical scientiic hypothesis of whether the true underlying model is close to some hypothesized model. The notion of closeness is based on measurement precision and requires the introduction of a metric for which ...

Assessing the efficiency of clustering algorithms and goodness-of-fit measures using phytoplankton field data

a r t i c l e i n f o Keywords: 2-norm Cophenetic correlation coefficient Beta diversity Dendrogram UPGMA Ward's algorithm Investigation of patterns in beta diversity has received increased attention over the last years particularly in light of new ecological theories such as the metapopulation paradigm and metacommunity theory. Traditionally , beta diversity patterns can be described by cluste...