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On the validity of Fisher's z test when applied to an actual example of non-normal data. (With five text-figures.)

Published online by Cambridge University Press:  27 March 2009

T. Eden  and
F. Yates
T. Eden
Affiliation:
(Tea Research Institute of Ceylon)
F. Yates
Affiliation:
(Statistical Department, Rothamsted Experimental Station, Harpenden.)
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Summary

1. Previous work on the validity of the t and z tests on non-normal distributions is described. The question as to whether these tests, which are all on small samples from theoretical distributions, are really apposite is discussed.

2. The necessity of making a practical test with actual data which shall comply with the usual conditions obtaining in agricultural experiments is urged.

3. A practical test has been made on a skew distribution obtained from the observation of 256 height measurements on wheat. The distribution of the values of R. A. Fisher's z from a thousand random samples has been obtained and found to agree satisfactorily with the theoretical distribution.

Type
Research Article
Information
The Journal of Agricultural Science , Volume 23 , Issue 1 , January 1933 , pp. 6 - 17
Copyright
Copyright © Cambridge University Press 1933

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References

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