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Classical empirical distribution function based goodness-of-fit tests typically require the data to be an independent and identically distributed realization of a certain probability model, and thus would fail when complex sampling designs introduce dependency and selection bias to the realized sample.
In particular, to introduce dependency effects, we take X to be all individual nucleotides, and all pairs, triplets and quadruplets of sequential nucleotides (2-mers, 3-mers and 4-mers) in the DNA sequences in our training set.
It is possible that pattern completion occurs at encoding (as well as at retrieval), allowing simultaneous encoding of all preceding within-event associations, which could introduce dependency in their strengths (see [ 28] for a related proposal).
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Custom actions introduce new language constructs, which can introduce dependencies that complicate application development, deployment, and maintenance.
Furthermore, large differences in peak amplitude among higher modes of vibration complicate fitting and introduce dependencies on the initial parameters.
The program only supports a single file format (SDF), using its internal file parsing routine, hence does not introduce dependencies on other libraries.
Or if the path must pass through some specific nodes (e.g., regenerators to boost the signal quality [7]), such important nodes and their links may also introduce dependencies.
In particular, the 2D depiction capabilities introduce dependencies on several graphics libraries which may be problematic to install on a particular platform (Cairo and its Python bindings, Python Imaging Library, AGG and the Python wrapper AggDraw).
These risk factors, however, may not completely explain differences in mortality between subjects and may introduce dependencies among subjects.
So far we have treated nodes/proteins as independent (using only their connectivities in the analysis) but we will now consider the extent to which interactions introduce dependencies into the data.
To decrease the chance of entering redundant features that might introduce dependencies, the criterion for halting the search process was slightly less conservative than the one suggested in previous papers [ 22, 23]: the procedure was stopped when the cumulative increment in AUC obtained in three consecutive steps was less than 1%.
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