Thomas Lumley • 1/14/2015

A transitive test is a test for a univariate parameter

This technical article examines the property of transitivity in statistical tests, arguing that a transitive test is essentially a test for a single real-valued summary statistic. It discusses pathological counterexamples from topology and order theory that violate this rule and references a mathematical theorem providing sufficient conditions for a continuous order isomorphism into the real numbers.

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#Statistical Testing #Transitivity #Univariate Parameter