Max-type rank tests in the two-sample problem
P. Bajorski (1991)
Applicationes Mathematicae
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P. Bajorski (1991)
Applicationes Mathematicae
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Marcin Przystalski (2016)
Applicationes Mathematicae
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In many applications of linear random models to multilevel data, it is of interest to test whether the random effects variance components are zero. In this paper we propose approximate tests for testing significance of variance components in the unbalanced two-fold nested random model in the presence of non-normality. In the derivations of the asymptotic distributions of the test statistics, as an intermediate result, the explicit form of the asymptotic covariance matrix of the vector...
V. Dupač, J. Hájek (1969)
Applicationes Mathematicae
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George Roussas (1980)
Banach Center Publications
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Matúš Maciak, Barbora Peštová, Michal Pešta (2018)
Kybernetika
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New statistical procedures for a change in means problem within a very general panel data structure are proposed. Unlike classical inference tools used for the changepoint problem in the panel data framework, we allow for mutually dependent panels, unequal variances across the panels, and possibly an extremely short follow up period. Two competitive ratio type test statistics are introduced and their asymptotic properties are derived for a large number of available panels. The proposed...
Mohamed N. Goria, Dana Vorlíčková (1985)
Aplikace matematiky
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The equivalence of the symmetry of density of the distribution of observations and the oddness and evenness of the score-generating functions for the location and the scale problem, respectively, is established at first. Then, it is shown that the linear rank statistics with scores generated by these functions are asymptotically independent under the hypothesis of randomness as well as under contiguous alternatives in the last part of the paper. The linear and quadratic forms of these...
David R. Cox (1983)
Qüestiió
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A review is given of recent work on asymptotic theory leading to a recommendation to use ratio likelihood rests with, where available, a Bartlett adjustment factor.
Mizuki Onozawa, Sho Takahashi, Takashi Seo (2013)
Discussiones Mathematicae Probability and Statistics
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In this paper, we consider profile analysis for the observations with two-step monotone missing data. There exist three interesting hypotheses - the parallelism hypothesis, level hypothesis, and flatness hypothesis - when comparing the profiles of some groups. The T²-type statistics and their asymptotic null distributions for the three hypotheses are given for two-sample profile analysis. We propose the approximate upper percentiles of these test statistics. When the data do not have...
Sadao Tomizawa (1993)
Qüestiió
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For a 4x4 contingency table, this note gives a simple statistic to test the goodness-of-fit of the generalized palindromic symmetry (GPS) model considered by McCullagh (1978). Also an asymptotic confidence interval for a parameter of interest in the GPS model is given. Two sets of unaided vision data are used as example.
Alfonso García-Pérez (1996)
Kybernetika
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