SENSIBILITY ANALYSIS OF THE HALF-SLOPE RATIO IN NON-LINEAR MONOTONE INCREASING BIVARIATE RELATIONSHIPS

Authors

  • Joan Guàrdia i Olmos
  • Jaume Turbany Oset
  • Montserrat Freixa i Blanxart
Keywords: resistant line, half-slope ratio, exploratory data analysis

Abstract

In the last time, the use of the statistical procedures belonging to the tradition of the Exploratory Data Analysis (EDA) (Tukey, 1977) has promoted a deep interest for the data exploration as a suitable vehicle in order to assure the prospective results. However, some of the proposed indices by EDA, are not been evaluated concerning their statistical sensibility. Our goal is to analyze one of the EDA most suggestive indices, the Half-Slope Ratio method, introduced into the use of the resistant line (Velleman y Hoaglin, 1981). It is used in order to ascertain the possible lineality of the bivariant plot. Through the generation of several non-linear functions, it may be shown first that de Half-Slope Ratio has a very severe behaviour and second, that tendency is more lax in the linear regression model.

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Author Biographies

Joan Guàrdia i Olmos

Universidad de Barcelona

Jaume Turbany Oset

Universidad de Barcelona

Montserrat Freixa i Blanxart

Universidad de Barcelona
How to Cite
Guàrdia i Olmos, J., Turbany Oset, J., & Freixa i Blanxart, M. SENSIBILITY ANALYSIS OF THE HALF-SLOPE RATIO IN NON-LINEAR MONOTONE INCREASING BIVARIATE RELATIONSHIPS. Anales de Psicología / Annals of Psychology, 10(1), 93–99. Retrieved from https://revistas.um.es/analesps/article/view/29511
Issue
Section
Methodology