Open Access
Rank analysis of covariance under progressive censoring.
TLDR
In this article, a class of analysis of covariance tests based on suitable linear rank statistics is proposed and studied, and some invariance principles for certain (multivariate) progressively censored rank order processes are established and incorporated in the study of the proposed tests.Abstract:
: In the context of survival analysis under a progressive censoring scheme, a class of analysis of covariance tests based on suitable linear rank statistics is proposed and studied. Some invariance principles for certain (multivariate) progressively censored rank order processes are established and incorporated in the study of the asymptotic properties of the proposed tests. (Author)read more
Citations
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On permutational central limit theorems for general multivariate linear rank statistics
TL;DR: In the context of multivariate multi-sample rank order tests, Puri and Sen (1966, Theorem 4.1) considered a permutational central limit theorem (PCLT) extended to general linear models as mentioned in this paper.
Book ChapterDOI
29 Nonparametric procedures for some miscellaneous problems
TL;DR: Nonparametric estimates of relative potency and tests for the basic assumption and their relative merits and demerits are studied in the chapter.
Journal ArticleDOI
Rank analysis of covariance with right-censored data.
TL;DR: A modification of the rank analysis of covariance, suitable for randomly right-censored dependent variate observations, is proposed and studied.
Book ChapterDOI
33 Nonparametric frequentist proposals for monitoring comparative survival studies
TL;DR: This chapter discusses the nonparametric frequentist proposals for monitoring comparative survival studies and the frequentist viewpoint is vigorously challenged by Cornfield, who presents a Bayesian alternative.
Book ChapterDOI
4 Design and analysis of experiments: Nonparametric methods with applications to clinical trials
TL;DR: This characterization of the null hypothesis generates exactly distribution-free (EDF) tests for some simple hypotheses testing problems.
References
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Journal ArticleDOI
The Analysis of Variance
TL;DR: In this paper, the basic theory of analysis of variance by considering several different mathematical models is examined, including fixed-effects models with independent observations of equal variance and other models with different observations of variance.
Journal ArticleDOI
Covariance analysis of censored survival data.
TL;DR: The use of regression models for making covariance adjustments in the comparsion of survival curves is illustrated by application to a clinical trial of maintenance therapy for childhood leukemia.
Book
Theory of rank tests
TL;DR: In this article, the authors present an elementary theory of rank tests and a set of properties of rank estimators, including asymptotic optimality and efficiency, as well as non-null distributions.
Journal ArticleDOI
Rank Analysis of Covariance
TL;DR: In this article, the problem of comparing two or more populations with respect to a response variable Y in the presence of a (possibly multivariate) concomitant variable X is discussed.
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