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This has been detected via descriptive statistics, via independence tests for a given fixed model or via model-free independence tests based on permutations (also called trials-shuffling) [5, 6, 13, 15, 22, 46].
Grid independence tests gave a refinement level of 3 for the simulations considering the simulation accuracy and computation cost.
Finally, numerical evidence is given on the test's benefits against standard independence tests, frequently encountered in the literature.
A structured grid system is chosen after a series of mesh independence tests in the present study.
Thus both the efficiency of structural learning and the power of conditional independence tests can be improved.
Note that, in neuroscience, plug-in problems have already been emphasized for other types of tests, namely the independence tests [22].
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As independence test we used the Fisher Exact Test for marginal independencies and a simulation based test (implemented in coindep_test in the R-package vcd) for conditional independencies.
This was followed by a three-dimensional chi-square partial independence test to determine if each of the three variables is independent of the other two.
The independence test is the hardest to pass.
Table 2 Grid independence test.
This idea of independence testing is utilised in finding an independence score of a feature.
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