The 'three plus one' likelihood-based test statistics: unified geometrical and graphical interpretations

Gianfranco Lovison, Vito Michele Rosario Muggeo, Gianfranco Lovison, Vito M. R. Muggeo

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

Abstract

The presentation of the well known Likelihood Ratio, Wald and Score test statistics in textbooks appears to lack a unified graphical and geometrical interpretation. We present two simple graphical representations on a common scale for these three test statistics, and also the recently proposed Gradient test statistic. These unified graphical displays may favour better understanding of the geometrical meaning of the likelihood based statistics and provide useful insights into their connections.
Original languageEnglish
Pages (from-to)302-306
Number of pages5
JournalTHE AMERICAN STATISTICIAN
Volume68
Publication statusPublished - 2014

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • General Mathematics
  • Statistics, Probability and Uncertainty

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