Nonparametric analysis of blocked ordered categories data: some examples revisited

Nonparametric analysis of blocked ordered categories data: some examples revisited

In this paper, we will use Cochran-Mantel-Haenszel (CMH) statistics to analyse four data sets which have appeared in the literature. It is well known that tests based on the CMH statistics are equivalent to certain standard rank tests but here we show how CMH statistics also apply in less standard situations. In particular, examples are given for randomized block designs both with and without m...

Data Mining: Some examples and some directions

Many successful attempts have been made to deduce information from data. Such data might come from an explicit body of knowledge, for example from a data base. Alternatively the data might be implicit, for example the behaviour of a system. The system may itself be physical such as a helicopter or a factory, or it may be conceptual such as a financial system. The extraction of information from ...

Ordered Categories and Ordered Semigroups

Ordered categories and ordered semigroups

We use ordered categories to study semidirect decompositions of finite ordered semigroups. We obtain ordered analogues of the derived category theorem and of the delay theorem. Next we prove that the ordered analogues of semilattices and of J -trivial monoids constitute local varieties, and we derive some decomposition theorems from these results. In [10], Pin and Weil initiated a study of the ...

Nonparametric Bayesian Data Analysis

We review the current state of nonparametric Bayesian inference. The discussion follows a list of important statistical inference problems, including density estimation, regression, survival analysis, hierarchical models and model validation. For each inference problem we review relevant nonparametric Bayesian models and approaches including Dirichlet process (DP) models and variations, Polya t...