Testing constancy in varying coefficient models Articles uri icon

publication date

  • March 2021

start page

  • 625

end page

  • 644

issue

  • 1

volume

  • 222

International Standard Serial Number (ISSN)

  • 0304-4076

Electronic International Standard Serial Number (EISSN)

  • 1872-6895

abstract

  • This article proposes a coefficients constancy test in semi-varyingcoefficient models that only needs to estimate the restricted coefficients under the null hypothesis. The test statistic resembles the union-intersection test after ordering the data according to the varying coefficients" explanatory variable. This statistic depends on a trimming parameter that can be chosen by a data-driven calibration method we propose. A bootstrap test is justified under fairly general regularity conditions. Under more restrictive assumptions, the critical values can be tabulated, and trimming is unnecessary. The finite sample performance is studied by means of Monte Carlo experiments, and a real data application for modeling education returns

keywords

  • varying coefficient models; model checks; union-intersection tests; concomitants; partial effects model checks; wild bootstrap; trimming data-driven calibration