Further significance tests
- 24 October 1936
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 32 (3) , 416-445
- https://doi.org/10.1017/s0305004100019125
Abstract
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 representIf successive batches of relevant information are available the total effect on the probability of q can therefore be got by multiplying the values ofgiven 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.Keywords
This publication has 3 references indexed in Scilit:
- Relativity, Gravitation, and World-Structure.The Philosophical Review, 1936
- Some Tests of Significance, Treated by the Theory of ProbabilityMathematical Proceedings of the Cambridge Philosophical Society, 1935
- On the prior probability in the theory of samplingMathematical Proceedings of the Cambridge Philosophical Society, 1933