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Frailty Models and Rank Tests

Lifetime Data Analysis, 1998
Connections are established between the theories of weighted logrank tests and of frailty models. These connections arise because omission of a balanced covariate from a proportional hazards model generally leads to a model with non-proportional hazards, for which the simple logrank test is no longer optimal.
Oakes, David, Jeong, Jong-Hyeon
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Testing Rank Similarity

The Review of Economics and Statistics, 2018
Abstract We introduce a test of the rank invariance or rank similarity assumption common in treatment effects and instrumental variables models. The test probes the implication that the conditional distribution of ranks should be identical across treatment states using a regression-based test statistic. We apply the test to data from the Tennessee STAR
Brigham R. Frandsen, Lars J. Lefgren
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Rank tests for changepoint problems

Biometrika, 1987
We consider procedures based on quadratic form rank statistics to test for one or more change points in a series of independent observations. Models incorporating both smooth and abrupt changes are introduced. Various test statistics are suggested, their asymptotic null distributions are derived and tables of significance points are given.
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Feedback Equivalence by Rank Tests

IFAC Proceedings Volumes, 1992
Abstract Let ( A 1 , B 1 ) and ( A 2 , B 2 ) be pairs of matrices in C mxn x C nxm . We will establish a criterion for feedback equivalence of pairs of matrices by rank tests. We will consider a matrix equation related to the feedback equivalence.
M.A. Beitia, J.M. Gracia, I. de Hoyos
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Optimal Rank Tests

2018
Lehmann and Stein (1949) and Hoeffding (1951b) pioneered the development of an optimal theory for nonparametric tests, parallel to that of Neyman and Pearson (1933) and Wald (1949) for parametric testing. They considered nonparametric hypotheses that are invariant under permutations of the variables in multi-sample problems so that rank statistics are ...
Mayer Alvo, Philip L. H. Yu
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