Spherical Regression on Matched Pairs of Orientation Statistics
本文改进了Prentice(1986)中3×3方向统计的匹配对分析,构建了旋转回归模型(球面回归的类比),并将结果推广到一般方向统计(p维空间中的m个正交框架),最后应用于向量心电图方向匹配对。
SUMMARY The matched pairs section of the analysis of 3 times 3 orientation statistics in Prentice (1986) may be improved on by constructing a rotational regression model, an analogue of spherical regression. The results obtained are relatively simple consequences of the work of Chang and are therefore presented here for general orientation statistics—rigid orthogonal m frames in p dimensions—before application to the matched pairs of vectorcardiogram orientations (m = p = 3) which provided the original motivation for this paper.