Birke, MelanieDette, Holger2007-02-212007-02-212007-02-21http://hdl.handle.net/2003/2330010.17877/DE290R-27A new test for strict monotonicity of the regression function is proposed which is based on a composition of an estimate of the inverse of the regression function with a common regression estimate. This composition is equal to the identity if and only if the “true” regression function is strictly monotone, and a test based on an L2-distance is investigated. The asymptotic normality of the corresponding test statistic is established under the null hypothesis of strict monotonicity. AMS Subject Classification: 62G10enGoodness-of-fit testNonparametric regressionStrictly monotone regression004report