The “ThreePlusOne” Likelihood-Based Test Statistics: Unified Geometrical and Graphical Interpretations

DOI10.1080/00031305.2014.955212OpenAlexW2058747707WikidataQ58253567 ScholiaQ58253567MaRDI QIDQ5877684

Gianfranco Lovison, Vito M. R. Muggeo

Publication date: 15 February 2023

Published in: The American Statistician (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00031305.2014.955212

zbMATH Keywords

scorelikelihood ratiostatistical inferenceWaldgeometrical interpretationgraphical displaygradient statistic

Mathematics Subject Classification ID

Statistics (62-XX)

Related Items

On hypothesis testing inference in location-scale models under model misspecification ⋮ Likelihood-based inference in censored exponential regression models ⋮ Goodness of fit tests of the two-parameter gamma distribution against the three-parameter generalized gamma distribution ⋮ Improved inference in dispersion models

Cites Work

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• Essential Statistical Inference
• An Introduction to Categorical Data Analysis
• Wald's Test as Applied to Hypotheses in Logit Analysis
• Bias reduction of maximum likelihood estimates
• The Large-Sample Distribution of the Likelihood Ratio for Testing Composite Hypotheses
• Tests of Statistical Hypotheses Concerning Several Parameters When the Number of Observations is Large

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