Comprehensive study of tests for normality and symmetry: extending the Spiegelhalter test

DOI10.1080/10629360500109023zbMath1108.62042OpenAlexW2061828617MaRDI QIDQ5485078

Patrick J. Farrell, Katrina Rogers-Stewart

Publication date: 28 August 2006

Published in: Journal of Statistical Computation and Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10629360500109023

zbMATH Keywords

powerkurtosisskewnesssignificance leveltriples tests

Mathematics Subject Classification ID

Related Items (13)

Visualizing Type II Error in Normality Tests ⋮ Comparison of symmetry tests against some skew-symmetric alternatives in i.i.d. and non-i.i.d. setting ⋮ Comparisons of various types of normality tests ⋮ Preliminary tests when comparing means ⋮ The performance of univariate goodness-of-fit tests for normality based on the empirical characteristic function in large samples ⋮ Testing normality via a distributional fixed point property in the Stein characterization ⋮ On combining the zero bias transform and the empirical characteristic function to test normality ⋮ Are You All Normal? It Depends! ⋮ Graphical comparison of normality tests for unimodal distribution data ⋮ Comparison of efficiencies of some symmetry tests around an unknown centre ⋮ Testing normality based on new entropy estimators ⋮ An empirical power comparison of univariate goodness-of-fit tests for normality ⋮ Monte Carlo comparison of seven normality tests

Cites Work

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• An Asymptotically Distribution-Free Test for Symmetry Versus Asymmetry
• An omnibus test for normality for small samples
• The Probability Plot Correlation Coefficient Test for Normality
• A test for normality against symmetric alternatives
• A Test for Normality of Observations and Regression Residuals
• An analysis of variance test for normality (complete samples)
• ASYMPTOTIC NORMALITY OF LINEAR RANK STATISTICS UNDER ALTERNATIVES
• An omnibus test of normality for moderate and large size samples
• A simple test of symmetry about an unknown median
• Asymptotic Theory of Certain "Goodness of Fit" Criteria Based on Stochastic Processes
• On Some Useful "Inefficient" Statistics

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