Goodness-of-fit tests for multiple regression with circular response Articles uri icon

publication date

  • June 2022

start page

  • 1941

end page

  • 1963


  • 9


  • 92

International Standard Serial Number (ISSN)

  • 0094-9655

Electronic International Standard Serial Number (EISSN)

  • 1563-5163


  • Testing procedures for assessing a parametric regression model with a circular response and an (Formula presented.) -valued covariate are proposed and analysed in this work. The test statistics are based on a circular distance comparing a (non-smoothed or smoothed) parametric circular regression estimator and a nonparametric one. Two bootstrap procedures for calibrating the tests in practice are also presented. Finite sample performance of the tests in different scenarios is analysed by simulations and illustrated with real data examples.


  • Mathematics
  • Statistics


  • model checking; circular data; local linear regression; bootstrap