The Gaussian/Normality Assumption Revisited

In the "Choose the Right Statistical Test" section, we briefly mentioned the normality assumption underlying many statistical tests. In fact, the statistical tests described in this wiki all require that the populations of interest are normally distributed. Thus, when your data are collected from populations that violate this assumption, these tests are not applicable.

Here we illustrate two kinds of situations in which the populations of interest are not normally distributed:

In summary, the array of statistical tests covered in this wiki require that the populations of interest are distributed according to a normal distribution. If that assumption is violated, which usually occurs in the form of the two examples above, one should be careful about selecting the appropriate tests.

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StatsWiki: NonParametricWarning (last edited 2012-01-07 21:17:23 by CelesteKidd)

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