Studentized Range - Studentized Data

Studentized Data

Generally, the term studentized means that the variable's scale was adjusted by dividing by an estimate of a population standard deviation (see also studentized residual).

The concept is named after William Sealey Gosset, who wrote under the pseudonym "Student". The fact that the standard deviation is a sample standard deviation rather than the population standard deviation, and thus something that differs from one random sample to the next, is essential to the definition.

The variability in the value of the sample standard deviation introduces additional uncertainty into the values calculated. This complicates the problem of finding the probability distribution of any statistic that is studentized.

Read more about this topic:  Studentized Range

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