Concept

Rankit

Summary
In statistics, rankits of a set of data are the expected values of the order statistics of a sample from the standard normal distribution the same size as the data. They are primarily used in the normal probability plot, a graphical technique for normality testing. Example This is perhaps most readily understood by means of an example. If an i.i.d. sample of six items is taken from a normally distributed population with expected value 0 and variance 1 (the standard normal distribution) and then sorted into increasing order, the expected values of the resulting order statistics are: :−1.2672,   −0.6418,   −0.2016,   0.2016,   0.6418,   1.2672. Suppose the numbers in a data set are : 65, 75, 16, 22, 43, 40. Then one may sort these and line them up with the corresponding rankits; in order they are : 16, 22, 40, 43, 65, 75, which yields the points: These points are then plotted as the vertical and
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