2016
DOI: 10.11648/j.ajtas.20160501.12
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A Brief Review of Tests for Normality

Abstract: In statistics it is conventional to assume that the observations are normal. The entire statistical framework is grounded on this assumption and if this assumption is violated the inference breaks down. For this reason it is essential to check or test this assumption before any statistical analysis of data. In this paper we provide a brief review of commonly used tests for normality. We present both graphical and analytical tests here. Normality tests in regression and experimental design suffer from supernorm… Show more

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Cited by 230 publications
(115 citation statements)
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“…Observed N 2 O and NH 3 fluxes were converted to N 2 O-N and NH 3 -N for statistical analysis. All fluxes were log transformed prior to statistical test after failing normality testing with a Shapiro-Wilks test (Das & Imon, 2016). An initial ANOVA of all individual flux observations determined that there were significant differences in CO 2 and N 2 O fluxes between treatments.…”
Section: Statistics and Missing Datamentioning
confidence: 99%
“…Observed N 2 O and NH 3 fluxes were converted to N 2 O-N and NH 3 -N for statistical analysis. All fluxes were log transformed prior to statistical test after failing normality testing with a Shapiro-Wilks test (Das & Imon, 2016). An initial ANOVA of all individual flux observations determined that there were significant differences in CO 2 and N 2 O fluxes between treatments.…”
Section: Statistics and Missing Datamentioning
confidence: 99%
“…Several authors (Shapiro and Wilk 1965;Mardia 1980; Mohd-Razali and Bee-Wah 2011; Rani Das and Rahmatullah Imon, 2016) have given details of how to perform a normality test procedure on a dataset and many statistical packages provide graphs and normality tests.…”
Section: Test Of the Ocmlpsi (Dcmlpsi) Normality Assumptionmentioning
confidence: 99%
“…The statistical value of the Shapiro-Wilk test should be close to 1.0 to accept the null hypothesis, whereas the statistic value of the Kolmogorov-Smirnov test should be close to 0.0 to accept the null hypothesis (Rani Das and Rahmatullah Imon, 2016). In the present case, for the values associated with OCMLPSI (110 and 270), the statistic values of the Shapiro-Wilk were 0.958 and 0.989, whereas the statistic values of the Kolmogorov-Smirnov were 0.080 and 0.044, respectively.…”
Section: Normality Test For the Estimated Ocmlpsi And Dcmlpsi Values mentioning
confidence: 99%
“…The descriptive statistics of this analysis are depicted in figure 5. Before examining the results of the statistical models, we tested the normality of the residuals using the Kolmogorov-Smirnov test (and not the more commonly used Shapiro-Wilk test as is it not recommended for larger sample sizes; [116,117]). The Kolmogorov-Smirnov test revealed a nonsignificant effect (D ¼ 0.07, p ¼ 0.42), showing that the residuals of our data did not differ significantly from a normal distribution (i.e.…”
Section: (B) Behavioural Datamentioning
confidence: 99%