The Annals of Mathematical Statistics

Some Tests Based on Dichotomization

Nils Blomqvist

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Abstract

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).

Article information

Source
Ann. Math. Statist., Volume 22, Number 3 (1951), 362-371.

Dates
First available in Project Euclid: 28 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aoms/1177729582

Digital Object Identifier
doi:10.1214/aoms/1177729582

Mathematical Reviews number (MathSciNet)
MR42652

Zentralblatt MATH identifier
0043.34702

JSTOR
links.jstor.org

Citation

Blomqvist, Nils. Some Tests Based on Dichotomization. Ann. Math. Statist. 22 (1951), no. 3, 362--371. doi:10.1214/aoms/1177729582. https://projecteuclid.org/euclid.aoms/1177729582


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