An alernative test for normality based on normalized spacings

DOI10.1080/00949659508811711zbMath0873.62045OpenAlexW2083592401MaRDI QIDQ4352567

Ling Chen, Samuel Shapiro

Publication date: 4 September 1997

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

Full work available at URL: https://doi.org/10.1080/00949659508811711

zbMATH Keywords

eigenvaluescovariance matrixShapiro-Wilk statisticnormalized spacingtesting normality\(W\) testBLUE weights

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10)

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Cites Work

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• The asymptotic equivalence of some modified Shapiro-Wilks statistics - complete and censored sample cases
• Asymptotic distributions for quadratic forms with applications to tests of fit
• Correcting the shapiro-wilkWfor ties
• The Probability Plot Correlation Coefficient Test for Normality
• An Approximate Analysis of Variance Test for Non-Normality Suitable for Machine Calculation
• Test for the extreme value and weibull distributions based on normalized spacings

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