III. The fit of a formula for discrepant observations
Open Access
- 1 January 1929
- journal article
- Published by The Royal Society in Philosophical Transactions of the Royal Society A
- Vol. 228 (659-669) , 115-150
- https://doi.org/10.1098/rsta.1929.0003
Abstract
1. The Problem .—When we have a set of quantities u 1 , u 2 , ... u m , which may be regarded as the observed values of certain unknown quantities U 1 , U 2 , ... U m , and we form the hypothesis that these U’s can be represented by a formula which either is completely determined by a priori considerations or involves constants which have to be determined from the data, how are we to decide whether the hypothesis is justified ? The classic method of testing a hypothesis of this kind is Prof. Karl Pearson’s "χ 2 " method, published in 1900 (ref. 6). But in one important class of cases the accuracy of his formula is open to doubt. The problem has not yet been finally solved: the object of the present paper is to take a step towards its solution.Keywords
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