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Original Articles

A comparison of various tests of normality

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Pages 175-183 | Published online: 24 Nov 2006

Keep up to date with the latest research on this topic with citation updates for this article.

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Pere Grima, José A. Sánchez-Espigares & Pedro Delicado. (2024) Goodness-of-fit graphical assessment for a broad family of unimodal distributions. Communications in Statistics - Theory and Methods 53:1, pages 396-418.
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Piotr Sulewski. (2022) Recognizing distributions rather than goodness-of-fit testing. Communications in Statistics - Simulation and Computation 51:11, pages 6701-6714.
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Piotr Sulewski. (2022) Modified Lilliefors goodness-of-fit test for normality. Communications in Statistics - Simulation and Computation 51:3, pages 1199-1219.
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José A. Sánchez-Espigares, Pere Grima & Lluís Marco-Almagro. (2021) Mosaic normality test. Communications in Statistics - Theory and Methods 50:23, pages 5561-5573.
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Husam Awni Bayoud. (2021) Tests of normality: new test and comparative study. Communications in Statistics - Simulation and Computation 50:12, pages 4442-4463.
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Taewoong Uhm & Seongbaek Yi. (2021) A comparison of normality testing methods by empirical power and distribution of P-values. Communications in Statistics - Simulation and Computation 0:0, pages 1-14.
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Katerina M. Marcoulides, Njål Foldnes & Steffen Grønneberg. (2020) Assessing Model Fit in Structural Equation Modeling Using Appropriate Test Statistics. Structural Equation Modeling: A Multidisciplinary Journal 27:3, pages 369-379.
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Ivana Ivković, Vesna Rajić & Jelena Stanojević. (2020) Coverage probabilities of confidence intervals for the slope parameter of linear regression model when the error term is not normally distributed. Communications in Statistics - Simulation and Computation 49:1, pages 147-158.
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José A. Sánchez-Espigares, Pere Grima & Lluís Marco-Almagro. (2019) Graphical comparison of normality tests for unimodal distribution data. Journal of Statistical Computation and Simulation 89:1, pages 145-154.
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José A. Sánchez-Espigares, Pere Grima & Lluís Marco-Almagro. (2018) Visualizing Type II Error in Normality Tests. The American Statistician 72:2, pages 158-162.
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Giuseppe Pulighe, Valerio Baiocchi & Flavio Lupia. (2016) Horizontal accuracy assessment of very high resolution Google Earth images in the city of Rome, Italy. International Journal of Digital Earth 9:4, pages 342-362.
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Enrico di Bella. (2015) Discriminating between distributions using feed-forward neural networks. Journal of Statistical Computation and Simulation 85:4, pages 711-724.
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Michael Leyer & Jürgen Moormann. (2015) Comparing concepts for shop floor control of information-processing services in a job shop setting: a case from the financial services sector. International Journal of Production Research 53:4, pages 1168-1179.
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J.-C. Cortés, M. Ehrhardt, A. Sánchez-Sánchez, F.-J. Santonja & R.-J. Villanueva. (2014) Modelling the dynamics of the students’ academic performance in the German region of the North Rhine-Westphalia: an epidemiological approach with uncertainty. International Journal of Computer Mathematics 91:2, pages 241-251.
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Joshua Olusegun Okeniyi & Elizabeth Toyin Okeniyi. (2012) Implementation of Kolmogorov–Smirnov P-value computation in Visual Basic®: implication for Microsoft Excel® library function. Journal of Statistical Computation and Simulation 82:12, pages 1727-1741.
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Ehsan Zamanzade & Nasser Reza Arghami. (2012) Testing normality based on new entropy estimators. Journal of Statistical Computation and Simulation 82:11, pages 1701-1713.
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B. W. Yap & C. H. Sim. (2011) Comparisons of various types of normality tests. Journal of Statistical Computation and Simulation 81:12, pages 2141-2155.
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Hadi Alizadeh Noughabi & Naser Reza Arghami. (2011) Monte Carlo comparison of seven normality tests. Journal of Statistical Computation and Simulation 81:8, pages 965-972.
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AhmadA. Zghoul & AdnanM. Awad. (2010) Normality Test Based on a Truncated Mean Characterization. Communications in Statistics - Simulation and Computation 39:9, pages 1818-1843.
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Xavier Romão, Raimundo Delgado & Aníbal Costa. (2010) An empirical power comparison of univariate goodness-of-fit tests for normality. Journal of Statistical Computation and Simulation 80:5, pages 545-591.
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