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Table 1 A theory of property-oriented rejection-based test

From: A new multivariate test formulation: theory, implementation, and applications to genome-scale sequencing and expression

Key point Description
Property sharing condition A necessary condition for false alarms to disturb the judgment on a given statistics is sharing with the statistics’ property that we consider
Alarm scale-up nature If an alarm vector \(S^{-0.5}(\mathbf{s}-{\tilde{\mathbf{s}}})\) falls within a rejection domain, \(\gamma S^{-0.5}(\mathbf{s}-{\tilde{\mathbf{s}}})\) will also fall within the rejection domain for any \(\gamma >1\)
Least complexity principle A rejection domain is modelled by a smallest number of parameters that can be well determined from given samples