This work reveals the equivalence of the solutions from the macro and micro approaches, and proves that an optimal finite periodic solution remains valid through cell refinement to infinite periodicity.
In its 2006 review [ 6] of the Strategic Plan, the IOM study committee recommended NIH research priority areas "should include, first, the development and refinement of valid measures of exposure relevant to understanding and evaluating health disparities".
It thus remains valid, e.g., for red green blue refinement.
This means that the refinement (19) is valid for any p ∈ [ 2, 1 + S ] or p ∈ [ 1 − S, 0 ] provided that the condition (22) holds.
The pathway depends on developing statistically valid study designs, focusing on assay refinement and standardization early in the process, including assay details in publications, and providing data in a format that allows comparison with other studies.
Prediction of expert scoring is predicated on the existence of a valid rubric, making the development and refinement of scoring rubrics (either analytic or holistic) a key consideration for automated analysis.
The following refinement of (1.4) is also valid [5].
After the data refinement process, there were 498 valid data for children (i.e., 98 Chinese male, 136 non-Chinese male, 134 Chinese female, and 130 non-Chinese female), and 556 valid data for elderly (i.e., 186 Chinese male, 148 non-Chinese male, 115 Chinese female, and 107 non-Chinese female).
Based on a practical example, we motivate and introduce new notions of refinement and compatibility, and prove that they constitute a valid interface theory.
Choice of appropriate humane endpoints provides significant opportunities for refinement, and should be developed in tandem with the requirements for a valid scientific outcome.
