In statistics, normality tests are used to determine if a data set is well-modeled by a normal distribution and to compute how likely it is for a random...

Shapiro–Wilk test is a test of normality. It was published in 1965 by Samuel Sanford Shapiro and Martin Wilk. The Shapiro–Wilk test tests the null hypothesis...

test is less powerful for testing normality than the Shapiro–Wilk test or Anderson–Darling test. However, these other tests have their own disadvantages...

two-sample t-tests are robust to all but large deviations from the assumptions. For exactness, the t-test and Z-test require normality of the sample...

tools for detecting most departures from normality. K-sample Anderson–Darling tests are available for testing whether several collections of observations...

non-normal data. Multivariate normality tests include the Cox–Small test and Smith and Jain's adaptation of the Friedman–Rafsky test created by Larry Rafsky...

normal. It is also used as a simple test for outliers if the population is assumed normal, and as a normality test if the population is potentially not...

Lilliefors test is a normality test based on the Kolmogorov–Smirnov test. It is used to test the null hypothesis that data come from a normally distributed...

1016/0165-1765(81)90035-5. Jarque, Carlos M.; Bera, Anil K. (1987). "A test for normality of observations and regression residuals". International Statistical...

Pearson's chi-squared test or Pearson's χ 2 {\displaystyle \chi ^{2}} test is a statistical test applied to sets of categorical data to evaluate how likely...

a mathematical discipline, the fundamental normality test gives sufficient conditions to test the normality of a family of analytic functions. It is another...

Khan, Rehan Ahmad (8 September 2015). "A power comparison of various normality tests". Pakistan Journal of Statistics and Operation Research. 11 (3): 331–345...

(1901) There are statistical methods to empirically test that assumption; see the above Normality tests section. In biology, the logarithm of various variables...

additional information. The sample extrema can be used for a simple normality test, specifically of kurtosis: one computes the t-statistic of the sample...

statistics, D'Agostino's K2 test, named for Ralph D'Agostino, is a goodness-of-fit measure of departure from normality, that is the test aims to gauge the compatibility...

Look up normality or normalities in Wiktionary, the free dictionary. Normality may refer to: Asymptotic normality, in mathematics and statistics Complete...

variances. Welch's t-test is designed for unequal population variances, but the assumption of normality is maintained. Welch's t-test is an approximate solution...

is concern that the test is so sensitive to the assumption of normality that it would be inadvisable to use it as a routine test for the equality of variances...

A guide to chi-squared testing. New York: Wiley. ISBN 0-471-55779-X. Nikulin, M. S. (1973). Chi-squared test for normality. Proceedings of the International...

F-test, and plays an important role in the analysis of variance (ANOVA). F test of analysis of variance (ANOVA) follows three assumptions Normality (statistics)...

comparing means under stringent conditions regarding normality and a known standard deviation. Student's t-tests are appropriate for comparing means under relaxed...

such terms as feeble-mindedness, border-line intelligence, dullness, normality, superior intelligence, genius, etc.? When we use these terms two facts...

Bartlett's test may simply be testing for non-normality. Levene's test and the Brown–Forsythe test are alternatives to the Bartlett test that are less sensitive...

version of Montel's theorem (occasionally referred to as the Fundamental Normality Test) states that a family of holomorphic functions, all of which omit the...

The Shapiro–Francia test is a statistical test for the normality of a population, based on sample data. It was introduced by S. S. Shapiro and R. S. Francia...

the basis for robust measures of skewness and kurtosis, and even a normality test. Summary statistics Socio-economic decile (for New Zealand schools)...

test is a goodness-of-fit normality test based on a combination of the sample skewness and sample kurtosis, as is the Jarque–Bera test for normality....

including support for the Nemenyi test. Friedman, Milton (December 1937). "The use of ranks to avoid the assumption of normality implicit in the analysis of...

Efficiency When normality holds, the Mann–Whitney U test has an (asymptotic) efficiency of 3/π or about 0.95 when compared to the t-test. For distributions...

going to be positive or negative. D'Agostino's K-squared test is a goodness-of-fit normality test based on sample skewness and sample kurtosis. Other measures...