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Cruickshank Db (1947)
Regional Influences in CancerBritish Journal of Cancer, 1
P. Moran (1946)
Random Associations on a LatticeNature, 158
P. Mahalanobis (1944)
On large-scale sample surveysPhilosophical Transactions of the Royal Society of London. Series B, Biological Sciences, 231
J948] 243 By P. A. P. MORAN (Institute of Statistics, Oxford) [Received September 17, 1947] 1. It is sometimes necessary to consider the geographical distribution of some quality or phenomenon in the counties or states of a country, and one of the questions we may then ask is whether the factors causing the phenomenon may be regarded as statistically independent in different counties, or, on the other hand, whether the presence of some quality in a county makes its presence in neighbouring counties more or less likely. D. Barron Cruickshank (1, 2) has considered a similar type of problem in relation to the incidence of tuberculosis in the United Kingdom. For other work on this subject the references in (3) and a paper by Mahalanobis (4) may be consulted. 2. We only consider the case where for each county or state a given event has or has not occurred. If it has, we denote the state of the county by B (for "black"), and if not by W (for "white"), To determine whether events in neighbouring counties are independent or not, we consider the distribution of the number of contiguous counties which are both "black." We represent the counties
Journal of the Royal Statistical Society Series B (Statistical Methodology) – Oxford University Press
Published: Jul 1, 1948
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