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QICID: 30518

Title: Testing Parameters of a Gamma Distribution for Small Samples

Copyright: ASQ; American Statistical Association
Author: Bhaumik, Dulal K.; Kapur, Kush; Gibbons, Robert D.
Organization: Center for Health Statistics, Department of Psychiatry and Division of Epidemiology and Biostatistics, University of Illinois at Chicago
Subject: Log-gamma distribution; Power of tests; Approximation; Scale parameter;
Series: Technometrics, Vol. 51, No. 3, August 2009, pp. 326–334

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Abstract: [This abstract is based on the authors' abstract.] The shape, scale, and mean of the gamma distribution relevant to application in the physical, environmental, and biological sciences are tested using new small sample-based tests that determine the Type I error rate and statistical power via simulation. The new tests perform well as long as the shape parameter is not too small. The tests are illustrated using real data taken from engineering, medicine, and environmental science.

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