The sup<InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$LM$$</EquationSource> </InlineEquation> test for structural change is embedded into a permutation test framework for a simple location model. The resulting conditional permutation distribution is compared to the usual (unconditional) asymptotic distribution, showing that the power of the test can be clearly improved in...</equationsource></inlineequation>