In this thesis we deal with k-sample problem with ordered alternative. At the beginning of the thesis isotonic regression is introduced. We use isotonic regression for maximum likelihood estimation of ordered parameters. In the second chapter, we describe the χ2 and E 2 tests that use the knowledge of isotonic regression and are based on the likelihood ratio. The exact null hypothesis distributions of their test statistics are derived in detail. The one-sided studentized range test is also further described. At the end of the thesis, we show the use of the E 2 test on the real data.
An isotonic regression truncated by confining its domain to a union of its level sets is the isotoni...
We propose a new nonparametric test for ordered alternative problem based on the rank difference bet...
We revisit isotonic regression on linear orders, the problem of fitting monotonic functions to best ...
Prior information regarding a statistical model frequently constrains the shape of the parameter set...
Paper presented to the 5th Annual Symposium on Graduate Research and Scholarly Projects (GRASP) held...
Investigating the main determinants of the mechanical performance of metals is not a simple task. Al...
Click on the DOI link to access the article (may not be free).Let S-1, S-2, ... , S-k be survival fu...
It is sometimes the case that a theory proposes that the population means on two variables should ha...
An isotonic regression truncated by confining its domain to a union of its level sets is the isotoni...
Thesis (M.S.)--Wichita State University, Fairmount College of Liberal Arts and Sciences, Dept. of Ma...
In recent times, the role of statistical methods based on order statistics has become more and more ...
A variety of methods for comparing three distributions have been proposed in the literature. These m...
Given an independent sequence of random tuples $(X\sb{k},Y\sb{k})$ identically distributed as (X,Y),...
A test statistic based on isotonic estimators for testing homogeneity of variances of several normal...
This paper gives algorithms for determining isotonic regressions for weighted data at a set of point...
An isotonic regression truncated by confining its domain to a union of its level sets is the isotoni...
We propose a new nonparametric test for ordered alternative problem based on the rank difference bet...
We revisit isotonic regression on linear orders, the problem of fitting monotonic functions to best ...
Prior information regarding a statistical model frequently constrains the shape of the parameter set...
Paper presented to the 5th Annual Symposium on Graduate Research and Scholarly Projects (GRASP) held...
Investigating the main determinants of the mechanical performance of metals is not a simple task. Al...
Click on the DOI link to access the article (may not be free).Let S-1, S-2, ... , S-k be survival fu...
It is sometimes the case that a theory proposes that the population means on two variables should ha...
An isotonic regression truncated by confining its domain to a union of its level sets is the isotoni...
Thesis (M.S.)--Wichita State University, Fairmount College of Liberal Arts and Sciences, Dept. of Ma...
In recent times, the role of statistical methods based on order statistics has become more and more ...
A variety of methods for comparing three distributions have been proposed in the literature. These m...
Given an independent sequence of random tuples $(X\sb{k},Y\sb{k})$ identically distributed as (X,Y),...
A test statistic based on isotonic estimators for testing homogeneity of variances of several normal...
This paper gives algorithms for determining isotonic regressions for weighted data at a set of point...
An isotonic regression truncated by confining its domain to a union of its level sets is the isotoni...
We propose a new nonparametric test for ordered alternative problem based on the rank difference bet...
We revisit isotonic regression on linear orders, the problem of fitting monotonic functions to best ...