المقارنة بين اختبار Shapiro- Wilk واختبار Jureckova بإستخدام المحاكاة ولعدة توزيعات

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منابع مشابه

The Shapiro-wilk and Related Tests for Normality

Given a sampleX1, . . . , Xn of n real-valued observations, the Shapiro– Wilk test (Shapiro and Wilk, 1965) is a test of the composite hypothesis that the data are i.i.d. (independent and identically distributed) and normal, i.e. N(μ, σ) for some unknown real μ and some σ > 0. This test of a parametric hypothesis relates to nonparametrics in that a lot of statistical methods (such as t-tests an...

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Simulation Study on Improved Shapiro-Wilk Tests for Normality

The W statistic proposed by Shapiro and Wilk ([2]) is frequently used for testing of the univariate and multivariate normality. However, the table of coefficients in the W statistic, its critical values and also constants in Johnson’s SB transformation to normal distribution ([3]), are not correct. Royston ([1]) gave an approximation for coefficients in the W statistic and use them to evaluate ...

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Power comparisons of Shapiro-Wilk, Kolmogorov-Smirnov, Lilliefors and Anderson-Darling tests

The importance of normal distribution is undeniable since it is an underlying assumption of many statistical procedures such as t-tests, linear regression analysis, discriminant analysis and Analysis of Variance (ANOVA). When the normality assumption is violated, interpretation and inferences may not be reliable or valid. The three common procedures in assessing whether a random sample of indep...

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Goodness-of-Fit Test of Shapiro-Wilk Type with Nuisance Regression and Scale

Shapiro and Wilk (1965) proposed a highly intuitive goodness-offit test of normality with nuisance location and scale parameters. The test has received a considerable attention in the literature; its asymptotic null distribution is covered by the results of de Wet and Wenter (1973), and was recently studied by Sen (2002). We extend the Shapiro-Wilk test to the situation with nuisance regression...

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ژورنال

عنوان ژورنال: Journal of Economics and Administrative Sciences

سال: 2009

ISSN: 2227-703X,2518-5764

DOI: 10.33095/jeas.v15i54.1176