Sentence examples for hypothesis of normal distribution from inspiring English sources

The Shapiro-Wilk test for normality showed refusal of the hypothesis of normal distribution of values (p < 0.001).

To test the hypothesis of normal distribution, Shapiro Wilk test was applied.

A non-parametric test was chosen, because the Shapiro-Wilk test rejects the hypothesis of normal distribution for the bottom filter at p < 0.05.

Jarque Berra and Shapiro Wilk tests suggest that the null hypothesis of normal distribution for daily returns can be rejected at the 5%% significance level.

While the central statement of the Gaussian dispersion method, namely the hypothesis of "normal" distribution of the pollutant concentrations, occurs only in completely ideal situations of atmosphere homogenous turbulence, the softwares based on this mathematical structure are calculation tools of broadest use since they are characterized from an easy mathematical formulation.

The null hypothesis of normal distribution (equivalent to λ = 1) was rejected (P < 0.001).

The hypothesis of normal distributions for the transformed global proportions calculated on breast, WBC and ESC were accepted with a Shapiro-Wilk test (p-value = 0.30, 0.79 and 0.22 respectively).

Range is from negative infinity to 1; Q-stat - is Ljung-Box Q statistics that test the null hypotheses of no autocorrelation in residual series; Z-stat - is Kolmogorov-Smirnov statistics that test the null hypotheses of normal distribution of residual series.

Shapiro Wilk tests showed that the null hypothesis for normal distribution of the GC-MS data was not fulfilled for these 209 VOCs.

Since the null hypothesis for normal distribution of the GC MS data was not fulfilled for these compounds, according to Shapiro Wilk tests, we used non-parametric Wilcoxon/Kruskal Wallis tests (cut-off value: P=0.05) for the comparative analysis of the GC MS data.

Further it gives an insight application of normal distribution, confidence bounds, sample size determinations, random variable summation, binomial distribution, Poisson distribution, testing of hypothesis, and other aspects.