In this paper we propose an improvement of the Kolmogorov-Smirnov test for normality. In the current implementation of the Kolmogorov-Smirnov test, a sample is compared with a normal distribution where the sample mean and the sample variance are used as parameters of the distribution. We propose to select the mean and variance of the normal distribution that provide the closest fit to the data....

The methods measuring the departure between observation and the model were reviewed. The following statistics were applied on two experimental data sets: ChiSquared, Kolmogorov-Smirnov, Anderson-Darling, Wilks-Shapiro, and Jarque-Bera. Both investigated sets proved not to be normal distributed. The Grubbs’ test identified one outlier and after its removal the normality of the set of 205 chemica...

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...

While performing statistical tests [7] the first question is which statistical test, parametric or non-parametric, is suitable. It is well known that parametric tests have much more power (probability that a statistical test will correctly reject a false null hypothesis, or a probability of avoiding a Type II error) than a non-parametric test. Hence, we should use parametric tests whenever allo...

Baseline differences between patients without heart disease (HD) and with HD were assessed by the chi-squared test for categorical data. Quantitative data were tested for normality using the Kolmogorov–Smirnov test. The t-test was used to test differences for normally distributed data; otherwise the Wilcoxon rank-sum test was used. Clinical baseline data comparing these groups are visualized in...

many commonly used statistical methods require that the population distribution be nearly normal. unfortunately, in some papers the one-sample kolmogorov-smirnov test has been used for testing normality while the assumptions of applying this test are not satisfied. to conduct this test, it is assumed that the population distribution is fully specified. in practical situation where the mean and ...

Four sets of experimental data were investigated in terms of normal distribution and presence of outliers. The following sets of compound were investigated: blood-brain barrier partitioning (n=105), inhibitory activity of para-substituted aromatic sulfonamides (n=47), inhibition activity of taxoids (n=63), and estrogen receptor binding affinity of triphenilacrylonitriles (n=25). The normality o...