Gait analysis and the bootstrap. (English) Zbl 0695.62244

Olshen, Richard A.; Biden, Edmund N.; Wyatt, Marilynn P.; Sutherland, David H.

Ann. Stat. 17, No. 4, 1419-1440 (1989).

Summary: This paper is about random coefficient trigonometric regression models and their use in gait analysis. Here gait analysis means free-speed walking on a level surface. Our study focuses on boostrap-based prediction regions for the angular rotation curves of test children, when the relevant training data are gathered from normal children of comparable ages. Considerations that led to our choice of model and use of the boostrap are given. Prediction regions and empirical bootstrap distributions are displayed, as is their application to several test cases. Also included is a study of the almost sure asymptotic behavior of the theoretical bootstrap probability of the prediction regions.

MSC:

62P10	Applications of statistics to biology and medical sciences; meta analysis
62G15	Nonparametric tolerance and confidence regions
62J05	Linear regression; mixed models
60F99	Limit theorems in probability theory
62P99	Applications of statistics

Keywords:

Vapnik-Chervonenkis classes; random coefficient trigonometric regression models; gait analysis; free-speed walking on a level surface; boostrap- based prediction regions; angular rotation curves; empirical bootstrap distributions; almost sure asymptotic behavior