REGRESSION-MODELS FOR AN ANGULAR RESPONSE

被引：152

作者：

FISHER, NI ^{[1
]}

LEE, AJ ^{[1
]}

机构：

[1] UNIV AUCKLAND,DEPT MATH & STAT,AUCKLAND,NEW ZEALAND

来源：

BIOMETRICS | 1992年 / 48卷 / 03期

关键词：

ANGULAR-LINEAR CORRELATION; ANGULAR RESPONSE; ITERATIVELY REWEIGHTED LEAST SQUARES; MAXIMUM LIKELIHOOD; VONMISES DISTRIBUTION;

D O I：

10.2307/2532334

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

This paper considers the problem of regressing an angular response variate on a set of linear explanatory variables. A general class of models is proposed in which the mean direction and dispersion of a von Mises variate are related to the explanatory variables by general link functions. Appropriate regression diagnostics, estimation and testing procedures are developed for fitting the models. The meaning of "correlation" between an angular and a linear variable is clarified, and leads to a general notion of multiple correlation associated with the regression model. The methods are applied to a set of data arising from a study of movements of intertidal gastropods.

引用

页码：665 / 677

页数：13

共 16 条

[1]

Best D. J., 1979, Applied Statistics, V28, P152, DOI 10.2307/2346732

[2] THE BIAS OF THE MAXIMUM-LIKELIHOOD ESTIMATORS OF THE VONMISES-FISHER CONCENTRATION PARAMETERS [J].