Normality:
VIEW
GRAPHS OF NORMALITY
To test for the normality of the data an Anderson-Darling test
was used. The Anderson-Darling test is an ECDF (empirical cumulative distribution
function) based test. The null hypothesis for this test is H0:
data follow a normal distribution. If the p-value is less than
the alpha level, reject H0.
"The data are plotted as the x-values. Minitab calculates
the probability of occurrence, assuming a normal distribution, and plots
the calculated probabilities as y-values. The grid on the graph resembles
the grids found on normal probability paper, with a log scale for the
probabilities. A least-squares line is fit to the plotted points and drawn
on the plot for reference. The line forms an estimate of the cumulative
distribution function for the population from which data are drawn. Minitab
also displays the sample mean, standard deviation, and sample size on
the plot." (Minitab Help File)
From these tests we can succesfully conclude that the data are
normally distributed. Thus, tests assuming normality can be used.
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