Normal S-P Plots and Distribution Curvesa tool for studying the distributional behaviour of a data set

  1. Castillo-Gutiérrez, Sonia
  2. Estudillo Martínez, María Dolores
  3. Lozano Aguilera, Emilio Damián
Journal:
Estadística española

ISSN: 0014-1151

Year of publication: 2013

Volume: 55

Issue: 181

Pages: 177-186

Type: Article

More publications in: Estadística española

Abstract

The distribution curves are useful on P-P Plots to identify viable alternative probability models for the sample data when the hypothetical distribution is rejected. In this paper, an extension of the distribution curves on Normal S-P Plots is provided. Likewise, the key features of the main probability plots, Q-Q Plots, PP Plots and S-P Plots, used as a visual tool for assessing the fit of a given probability model to some data, are reviewed. Moreover, an R script to construct some distribution curves on a Normal S-P Plot, when the normal distribution is rejected for the sample observations, is developed.