What does hoeffding's independence test mean?
Definitions for hoeffding's independence test
ho·effd·ing's in·de·pen·dence test
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Hoeffding's independence test
In statistics, Hoeffding's test of independence, named after Wassily Hoeffding, is a test based on the population measure of deviation from independence H = ∫ ( F 12 − F 1 F 2 ) 2 d F 12 {\displaystyle H=\int (F_{12}-F_{1}F_{2})^{2}\,dF_{12}} where F 12 {\displaystyle F_{12}} is the joint distribution function of two random variables, and F 1 {\displaystyle F_{1}} and F 2 {\displaystyle F_{2}} are their marginal distribution functions. Hoeffding derived an unbiased estimator of H {\displaystyle H} that can be used to test for independence, and is consistent for any continuous alternative. The test should only be applied to data drawn from a continuous distribution, since H {\displaystyle H} has a defect for discontinuous F 12 {\displaystyle F_{12}} , namely that it is not necessarily zero when F 12 = F 1 F 2 {\displaystyle F_{12}=F_{1}F_{2}} . A recent paper describes both the calculation of a sample based version of this measure for use as a test statistic, and calculation of the null distribution of this test statistic.
Numerology
Chaldean Numerology
The numerical value of hoeffding's independence test in Chaldean Numerology is: 3
Pythagorean Numerology
The numerical value of hoeffding's independence test in Pythagorean Numerology is: 3
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"hoeffding's independence test." Definitions.net. STANDS4 LLC, 2024. Web. 28 Apr. 2024. <https://www.definitions.net/definition/hoeffding%27s+independence+test>.
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