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Nonparametric inference for functional-on-scalar linear models applied to knee kinematic hop data after injury of the anterior cruciate ligament
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
Umeå University, Faculty of Medicine, Department of Community Medicine and Rehabilitation, Physiotherapy.ORCID iD: 0000-0002-0366-4609
Umeå University, Faculty of Social Sciences, Umeå School of Business and Economics (USBE), Statistics. Department of Statistical Sciences, Università Cattolica del Sacro Cuore, Milan, Italy.ORCID iD: 0000-0001-9235-3062
Umeå University, Faculty of Medicine, Department of Community Medicine and Rehabilitation. Umeå University, Faculty of Social Sciences, Umeå School of Business and Economics (USBE), Statistics.
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2018 (English)In: Scandinavian Journal of Statistics, Vol. 45, no 4, p. 1036-1061Article in journal (Refereed) Published
Abstract [en]

Motivated by the analysis of the dependence of knee movement patterns during functional tasks on subject-specific covariates, we introduce a distribution-free procedure for testing a functional-on-scalar linear model with fixed effects. The procedure does not only test the global hypothesis on the entire 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 intervalwise error rate, that is, the probability of falsely rejecting any interval of true null hypotheses. The procedure is 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.

Place, publisher, year, edition, pages
John Wiley & Sons, 2018. Vol. 45, no 4, p. 1036-1061
Keywords [en]
analysis of covariance, functional data, human movement, intervalwise testing, permutation test
National Category
Probability Theory and Statistics
Identifiers
URN: urn:nbn:se:umu:diva-150935DOI: 10.1111/sjos.12333ISI: 000450039100010OAI: oai:DiVA.org:umu-150935DiVA, id: diva2:1240131
Funder
Swedish Research Council, K2014-99X-21876-04-4Swedish Research Council, 340-2013-5203Swedish Research Council, 2016-02763Västerbotten County Council, ALF VLL548501Västerbotten County Council, VLL-358901Västerbotten County Council, 7002795Available from: 2018-08-20 Created: 2018-08-20 Last updated: 2019-01-07Bibliographically approved

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Abramowicz, KonradHäger, CharlottePini, AlessiaSchelin, LinaSjöstedt de Luna, Sara

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Abramowicz, KonradHäger, CharlottePini, AlessiaSchelin, LinaSjöstedt de Luna, Sara
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Department of Mathematics and Mathematical StatisticsPhysiotherapyStatisticsDepartment of Community Medicine and Rehabilitation
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