Hostname: page-component-78c5997874-94fs2 Total loading time: 0 Render date: 2024-11-14T04:38:56.111Z Has data issue: false hasContentIssue false
  • English
  • Français

Further significance tests

Published online by Cambridge University Press:  24 October 2008

Harold Jeffreys
Harold Jeffreys
Affiliation:
St John's College
Get access Rights & Permissions [Opens in a new window]

Extract

In a previous paper (afterwards referred to as Paper I) tests have been given for the significance of some quantities found statistically. The results are given in the form P(q | θh)/P (˜ q|θh); here h denotes the previous knowledge and θ the experimental evidence used, while q is the hypothesis that all the variations outstanding can be attributed to accidental error or random variation, and ˜q the hypothesis that at least part of them is systematic. It has been supposed in the analysis that q and ˜q are equally probable on the information h; but if they are not, the only alteration is that the ratios evaluated now represent

If successive batches of relevant information are available the total effect on the probability of q can therefore be got by multiplying the values of

given by the investigations separately. In each case the assumption that q has prior probability ½ is really a practical working rule rather than a statement of fact.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 32 , Issue 3 , October 1936 , pp. 416 - 445
Copyright
Copyright © Cambridge Philosophical Society 1936

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

* Jeffreys, , Proc. Camb. Phil. Soc. 31 (1935), 203–22.CrossRefGoogle Scholar

† Mind, 45 (1936), 324–33Google Scholar; Phil. Mag. 22 (1936) (in the press).

* Jeffreys, , Proc. Camb. Phil. Soc. 29 (1933), 83–7.CrossRefGoogle Scholar

† Scientific Inference, 51.

* Mind, 41 (1932), 421–3.Google Scholar

* Karl Pearson, Grammar of Science, Chapter v.

* de Graaff Hunter, J., Phil. Trans. A, 234 (1935), 407–28.Google Scholar

* Phil. Mag. 50 (1900), 167.

* Bull. Earthquake Research Inst. Tokyo, 11 (1933), 46–68.Google Scholar

† Monthly Notices Roy. Astr. Soc., Geoph. Suppl. 3 (1934), 233–8.Google Scholar