The phrase "analysis of the restricted" is correct and usable in written English.
It can be used in contexts where you are discussing a study or examination of something that is limited or confined in scope.
Example: "The analysis of the restricted data revealed significant trends that were previously overlooked."
Alternatives: "examination of the limited" or "study of the confined".
We explain in the paper the theoretical foundation for the algorithm based on an analysis of the restricted isometry property of the corresponding measurement matrices.
At the same time, IRS required the authors to receive prior approval of any papers or presentations based on their analysis of the restricted data.
The MP analysis of the restricted dataset yielded 56 most parsimonious trees with a tree length of 5451.
We then explored different methods of analysis of the restricted cohort, using a conventional regression model, propensity score analysis, and instrumental variable analysis, to adjust for potential confounding factors and selection bias due to non-random allocation of study subjects.
In general, many of the trends observed in the analysis of the original n = 3 parameter space (depicted in Figure 3H) were observed in the analysis of the restricted n = 3 parameter space (Additional File 3 Figure S3).
The corresponding OR was 0.84 (95% CI: 0.72, 0.98) in the sensitivity analysis of the restricted study region to 1000 m.
Additional analysis of HRV restricted to the sleep period according to diary information showed results similar to those achieved in the 24-hr analyses.
For the analysis of YSTs, we restricted the analysis to CpG loci with up-regulated methylation (effect size > 1.0).
The analysis of mandibles was restricted to the mandibular body which is considered as one of the sites containing the highest mineralized regions in the mandible [ 35].
We provide in this article a refined functional analysis of the Radon operator restricted to axisymmetric functions, and show that it enjoys strong regularity properties in fractional order Hilbert spaces.
Most troublingly, the research indicates the rate of sperm decline among Western men isn't slowing down when analysis of the data was restricted between 1996 and 2011, sperm count and concentration declined continued at a severe level of around 1.4percentt each year.
