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A0195
Title: Distribution-free interval-wise inference for functional-on-scalar linear models Authors:  Konrad Abramowicz - Umea University (Sweden)
Charlotte Hager - Umea University (Sweden)
Alessia Pini - Universita Cattolica del Sacro Cuore (Italy)
Lina Schelin - Umea University (Sweden)
Sara Sjostedt de Luna - Umea University (Sweden) [presenting]
Simone Vantini - Politecnico di Milano (Italy)
Abstract: A distribution-free procedure is introduced for testing a functional-on-scalar linear model with fixed effects. The procedure does not only test the global hypothesis on all the domain, but also selects the intervals where statistically significant effects are detected. We prove that the proposed tests are provided with an asymptotic control of the interval-wise error rate, i.e. the probability of falsely rejecting any interval of true null hypotheses. The procedure is then applied to one-leg hop data from a study on anterior cruciate ligament injury. We compare knee kinematics of three groups of individuals (two injured groups with different treatments, and one group of healthy controls), taking individual-specific covariates into account.