Five procedures are considered for the comparison of two or more multivariate samples. These procedures include a newly proposed nonparametric rank-sum test and a generalized least squares test. Also considered are the following tests: ordinary least squares, Hotelling's T2, and a Bonferroni per-experiment error-rate approach. Applications are envisaged in which each variable represents a quali...

This report extends the technique of testing single variance components with generalized xed{level tests | in situations when nuisance parameters make exact testing impossible | to the more general way of testing hypotheses on linear forms of variance components. An extension of the deenition of a generalized test variable leads to a generalized xed{level test for arbitrary linear hypotheses on...

In this paper, we are concerned with how to select significant variables in semiparametric modeling. Variable selection for semiparametric regression models consists of two components: model selection for nonparametric components and select significant variables for parametric portion. Thus, it is much more challenging than that for parametric models such as linear models and generalized linear...

Instrumental Variables are a popular way to identify the direct causal effect of a random variable X on a variable Y . Often no single instrumental variable exists, although it is still possible to find a set of generalized instrumental variables (GIVs) and identify the causal effect of all these variables at once. Till now it was not known how to find GIVs systematically or even test efficient...

The aim of the paper is to provide criterions based on sound ethical grounds for inequality and welfare comparisons in a multi-dimensioned setting. We provide a unified treatment of multi-dimensional egalitarianism and of welfare analysis with needs using a compensation principle and encompassing the case of continuous and discrete distributions. Among the attributes of the individual utility, ...

35 With the increasing demand for sustainability, cycling is being encouraged as one of the efficient 36 active modes of transportation. However, cyclists are vulnerable to severe injuries when involved 37 in crashes which can discourage road users from cycling. Therefore, studying factors that affect 38 the safety of cyclists is important. This paper investigates the relationship between cycli...

A stochastic formulation of the Analytic Hierarchy Process (AHP) using an approach based on Bayesian categorical data models has been developed. However, in categorical data models it is known that the selection of the link function may have an impact on the model estimates. In particular, the selection of the probit link implies an assumption that model error terms are normally distributed and...