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Helmert transformation; linear regression model; nonlinearity measures; weak nonlinearity

References:

[1] L. Kubáček, L. Kubáčková: **Regression models with a weak nonlinearity**. Preprint of the Department of Mathematical Analysis and Applied Mathematics, Faculty of Science, Palacký University, 1998. MR 1843367

[2] L. Kubáček, L. Kubáčková: **Testing statistical hypotheses in deformation measurement; One generalization of the Scheffé theorem**. Acta Univ. Palacki Olomuc., Fac. rer. nat., Mathematica 37 (1998), 81–88. MR 1690476

[3] J. Ševčík: **Generalization of the orthogonal regression on the case of the Helmert transformation**. WDS ’99 Proceedings of Contributed Papers, part I, MATFYZPRESS, Praha, 1999.