The effect of anisotropic systematic errors in estimating helical angles

Abstract

A common question in movement studies is how the results should be interpreted with respect to systematic and random errors. In this study, simulations are made in order to see how a rigid body's orientation in space (i.e. helical angle between two orientations) is affected by (1) a systematic error added to a single marker (2) a combination of this systematic error and Gaussian white noise. The orientation was estimated after adding a systematic error to one marker within the rigid body. This procedure was repeated with Gaussian noise added to each marker.

In conclusion, results show that the systematic error's effect on estimated orientation depends on number of markers in the rigid body and also on which direction the systematic error is added. The systematic error has no effect if the error is added along the radial axis (i.e. the line connecting centre of mass and the affected marker).

Keywords:

• Screw
• Helical
• Angle
• Systematic
• Accuracy
• Error

Acknowledgements

The author gratefully acknowledges the assistance of H. Grip, N. Östlund, C. Grönlund and S. Karlsson (Department of Biomedical Engineering and Informatics, University Hospital in Umeå) for valuable feedback and support.