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The Deviation Test

Published online by Cambridge University Press:  03 November 2016

D.V. Anderson
D.V. Anderson*
Affiliation:
Department of Mathematics, The University of Toronto
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Extract

It is the purpose of this note to remark that the mean deviation is quite as respectable and therefore useful a test of dispersion of data as the x2 or other widely used tests—at least in simple statistical situations. That it is not used appears to result from some misunderstanding of its efficiency and perhaps also of its bias as an estimator of parameters of a frequency function.

Type
Research Article
Information
The Mathematical Gazette , Volume 53 , Issue 386 , December 1969 , pp. 380 - 382
Copyright
Copyright © Mathematical Association 1969

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References

1. “The probability distribution of x2”, Vol. 50, no. 371, 1966, pp. 8–18.Google Scholar
2. Kendall, M. G. and Stuart, A., “The advanced theory of statistics”, Charles Griffin & Co., London, Vol. 1, p. 240.Google Scholar
3. Godwin, H.J., “On the distribution of the estimate of mean deviation obtained from samples of a normal population”, Biometrika 33, 1945, pp. 254–265.Google Scholar
4. Kendall, M. G. and Stuart, A., loc. cit. Vol. 2, p. 21.Google Scholar