In some applications, an experimental unit is composed of two distinct but related subunits. The response from such a (X1,X2) we observe only Y1=min{X1,X2} and Y2=max{X1,X2}, i.e., the subunit identities are not observed. We call (Y1,Y2) unordered paired observations. Based on observations {(Y1i,Y2i)}i=1n, interested in whether marginal distributions for X1 X2 identical. Testing methods availab...

The homogeneity of variance assumption is one of the critical assumptions underlyingmost parametric statistical procedures such as the analysis of variance and it is important to be able to test this assumption. In addition, showing that several samples do not come from populations with the same variance is sometimes of importance per se. Among the many procedures used to test this assumption, ...

We provide necessary and sufficient conditions for uniform consistency of nonparametric sets alternatives chi-squared test testing the hypothesis homogeneity. The number cells increases with sample size growth. can be defined in terms distribution functions or densities.

In ophthalmologic studies, measurements obtained from both eyes of an individual are often highly correlated. Ignoring the correlation could lead to incorrect inferences. An asymptotic method was proposed by Tang and others (2008) for testing equality of proportions between two groups under Rosner's model. In this article, we investigate three testing procedures for general g ≥ 2 groups. Our si...