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September, 1951 Some Tests Based on Dichotomization
Nils Blomqvist
Ann. Math. Statist. 22(3): 362-371 (September, 1951). DOI: 10.1214/aoms/1177729582


Some methods for testing independence between the components of a random vector are discussed. The basic principle in the construction of the tests is dichotomization of each component variable. The distributions are obtained under randomization. Other applications of the tests are mentioned (Section 2). Certain limiting distributions are derived (Section 4). The exact distribution of the test statistic in a special case is tabulated (Section 5). A brief study of an alternative test is made (Section 6).


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Nils Blomqvist. "Some Tests Based on Dichotomization." Ann. Math. Statist. 22 (3) 362 - 371, September, 1951.


Published: September, 1951
First available in Project Euclid: 28 April 2007

zbMATH: 0043.34702
MathSciNet: MR42652
Digital Object Identifier: 10.1214/aoms/1177729582

Rights: Copyright © 1951 Institute of Mathematical Statistics

Vol.22 • No. 3 • September, 1951
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