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Testing critical points of non‐parametric regression curves: application to the management of stalked barnacles

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  • Marta Sestelo
  • Javier Roca‐Pardiñas

Abstract

Several aquatic living resources are overexploited. An example of this is a barnacle fishery, which is a commercial species that commands high prices in the market. We feel that not enough is known about the management of this species. In particular, not enough is known about its growth pattern. Thus, we model the length–weight relationship of this resource for each harvest site. We use regression models with factor‐by‐curve interactions. Specifically, a global test to compare regression curves and their derivatives between levels and a local test to draw inferences about critical points are provided.

Suggested Citation

  • Marta Sestelo & Javier Roca‐Pardiñas, 2019. "Testing critical points of non‐parametric regression curves: application to the management of stalked barnacles," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 68(4), pages 1051-1070, August.
  • Handle: RePEc:bla:jorssc:v:68:y:2019:i:4:p:1051-1070
    DOI: 10.1111/rssc.12336
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