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Theory & Methods: Deviance Residuals for an Angular Response
Author(s) -
De Souza Francisco A.M.,
Paula Gilberto A.
Publication year - 2002
Publication title -
australian and new zealand journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 1369-1473
DOI - 10.1111/1467-842x.00236
Subject(s) - deviance (statistics) , mathematics , residual , von mises distribution , von mises yield criterion , statistics , econometrics , finite element method , algorithm , engineering , structural engineering
This paper discusses deviance residual approximations in von Mises regression models. By using a relationship between the von Mises and the wrapped normal distributions, the paper shows that the deviance component of the von Mises distribution is approximately a linear function of the standard normal distribution. Two standardized forms are proposed for the deviance residual, and a simulation study is performed to compare the approximation of the proposed residuals to the standard normal distribution. An illustrative example is given.