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Order-Restricted Inferences in Linear Regression

Journal of the American Statistical Association, 1995
Abstract Regression analysis constitutes a large portion of the statistical repertoire in applications. In cases where such analysis is used for exploratory purposes with no previous knowledge of the structure, one would not wish to impose any constraints on the problem.
Hari Mukerjee, Renjin Tu
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Order restricted inference of a multiple step-stress model

Computational Statistics & Data Analysis, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Debashis Samanta, Debasis Kundu
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Order Restricted Inference in a Repeated Measures Model

Biometrika, 1988
In a repeated measures model each of n individuals receive each of k treatments. Usually a one-way ANOVA model is used under the assumption that the vectors of observations on the j-th individual \(Y_ j=(Y_{1j},...,Y_{kj})'\), say, are independently \(N\{\mu,\sigma^ 2A(\rho)\}\) distributed, where \(\mu =(\mu_ 1,...,\mu_ k)'\) is the mean of \(Y_ j\), \
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Approximating the level probabilities in order restricted inference: The simple tree ordering

Biometrika, 1985
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wright, F. T., Tran, T.
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Statistical Inference Under Order Restrictions

Technometrics, 1975
(1975). Statistical Inference Under Order Restrictions. Technometrics: Vol. 17, No. 1, pp. 139-140.
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On approximation of the level probabilities and associated distributions in order restricted inference

Biometrika, 1983
Let \(\overline{X_ 1},...,\overline{X_ k}\) and \(n_ 1,...,n_ k\) be the sample means and sample sizes of k independent random samples from each of k normal populations having means \(\mu_ 1,...,\mu_ k\). Let \(P_ w(\ell,k)\) denote the probability that the maximum likelihood estimates of \(\mu_ 1,...,\mu_ k\) subject to the restriction \(\mu_ 1\leq ...
Robertson, Tim, Wright, F. T.
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Semiparametric Inference for the Two‐way Layout Under Order Restrictions

Scandinavian Journal of Statistics, 2013
ABSTRACTThere are many situations in which a researcher would like to analyse data from a two‐way layout. Often, the assumptions of linearity and normality may not hold. To address such situations, we introduce a semiparametric model. The model extends the well‐known density ratio model from the one‐way to the two‐way layout and provides a useful ...
Davidov, O.   +5 more
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Statistical inference under order restrictions

Statistica Neerlandica, 1973
Book reviewed in this article:Statistical inference under order restrictions, R. E. BARLOW, D. J. BARTHOLOMEW, J. M. BREMNER, H. D. BRUNK.
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An Application of Order Restricted Inference Methodology to a Problem in Psychiatry

Psychometrika, 1985
Using data which reflects upon the genetic makeup of patients, Cadoret, Woolson and Winokur (1977) test two theories regarding the genetic makeup of patients suffering from unipolar affective disorder. This hypothesis test is a good example of a problem in order restricted inference.
Tim Robertson, Giles Warrack
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Properties of Bayes testing procedures in order restricted inference

Statistics & Probability Letters, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cohen, Arthur, Sackrowitz, H. B.
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