Tests for Linear Trends in Proportions and Frequencies

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ID: 290900
1955
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Abstract
One frequently encounters data consisting of a series of proportions, occurring in groups which fall into some natural order. The question usually asked is then not so much whether the proportions differ significantly, but whether they show a significant trend, upwards or downwards, with the ordering of the groups, In the data shown in Table 1, for, instance, the usual test for a 2 X 3 contingency table yields a x2 equal to 7.89 on 2 degrees of freedom, corresponding to a probability of about 0.02. But this calculation takes no account of the fact that the carrier rate increases with the tonsil size, and it is reasonable to believe that a test specifically designed to detect a trend in the carrier rate as the tonsil size increases would show a much higher degree of significance.
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openalex_W2169632325 Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors P. Armitage
Journal biometrics
Year 1955
DOI
10.2307/3001775
URL
https://doi.org/10.2307/3001775
Keywords Keywords not found

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