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A New Test of Normality and of Exponentiality Called the Q-Test.
Final rept. 1 Jun-1 Aug 73,
WEIBULL (WALODDI) LAUSANNE (SWITZERLAND)
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A new test statistic, denoted by Q and equal to the quotient of two unbiased estimates of the standard deviation of a normal distribution is proposed for testing the hypothesis that a given sample is drawn from a normal population or, alternatively, from an exponential population. The sampling distributions of Q have been computed and used for setting the limits of rejection regions corresponding to 1, 2, and 5 levels of significance and also for stating the decision power of Q used as a shape estimator. Author
APPROVED FOR PUBLIC RELEASE