Sentence examples for independence applied from inspiring English sources

We perform simulation studies to verify the accuracy of the asymptotic null distribution of the chi-square test of independence applied to CNP counts after classification using the Bayesian classification rule (described above).

Both table 4 and figure 1 suggest that we should run separate models for women and men, further confirmed by a χ test of independence applied to table 4: there is a significant statistical association between risk and gender (χ=259.07, df=3, p value=0).

Similarly, while Mr. Breivik says he is "extremely proud" of his "Odinistic/Norse heritage," he is not a Norwegian nationalist — his "declaration of independence" applies to all of Europe.

Will gay men and lesbians finally find the rule set forth in the constitution and enshrined in the Declaration of Independence apply to them?

We analyzed the data with the G-test of independence, applying Williams's correction [27].

In fact, the Gaussian Kernel gives the largest possible difference between the quadratic independence measure applied on a vector A with i.i.d uniformly independent components and the quadratic independence measure applied on a vector B = MA, here M is a full rank mixing matrix.

In order to test the hypothesis that rates of lesion occurrence within elements were independent of taxon, a G-test of independence was applied to each 2×2 matrix [14], [15].

In 1643, seeking a life of independence, Lucas applied to be a maid of honor at the court of Queen Henrietta Maria.

But, if this test of independence is applied to causal relations, it produces the result that there is but one substance, God.

In the original proof (see [6]) the only step where pairwise independence is applied is the use of inequality (2.27) with with (a_{i}=0), (b_{i}=infty) and with (a_{i}=-infty), (b_{i}=0).

However, analyzing the proof (see [5] or [15]), the only step where pairwise independence is applied is the use of inequality (2.23) with (a_{i}=0), (b_{i}=i) and with (a_{i}=-i), (b_{i}=0).