The "Three Plus One" Likelihood-Based Test Statistics: Unified Geometrical and Graphical Interpretations

Vito M. R. Muggeo and Gianfranco Lovison

The American Statistician, 2014, vol. 68, issue 4, 302-306

Abstract: The presentations of the well-known likelihood ratio, Wald and score test statistics in textbooks appear 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 favor better understanding of the geometrical meaning of the likelihood-based statistics and provide useful insights into their connections.

Date: 2014
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DOI: 10.1080/00031305.2014.955212

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