Tests of statistical normality
Freeman, Daniel H.
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The purpose of this paper is to discuss several tests of statistical normality. By normality it is meant that a simple random sample is drawn from a population with a normal or Gaussian distribution. There are a number of such tests in existence. For example, the chi-squared (CS), √b1 , and b2 are reasonably well known. Others, such as Geary's (a) are not as popular. The discussion of tests of normality has been quite thorough in the various journals. However, they have not brought together, with a complete discussion including exrunples and comparisons. The discussion will proceed in four parts. The effect of non-normality will be briefly reviewed. Several examples are indicated here, such as the t-statistic and prediction intervals where non-normality alters the significance level. Some of the tests where non-normality is not too harmful will also be indicated. [TRUNCATED]
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