The phrase "analysis using the first" is not complete and lacks context, making it difficult to determine its correctness in written English.
It could be used in contexts where you are referring to a specific method or approach that is the first in a series or set of analyses.
Example: "The analysis using the first method yielded the most accurate results in our study."
Alternatives: "analysis employing the first" or "analysis conducted with the first".
Traditional legal or constitutional analysis, using the first definition, has produced a huge body of literature on governmental structures, many of the specialized terms that are a part of the traditional vocabulary of political science, and several instructive classifying schemes.
The right panel shows the multivariate regression analysis using the first three main components of PCA.
The experimental results were used in an analysis using the first and second law of thermodynamics.
To ensure that these methods do in fact offer a benefit over a more basic approach, we compared them to an analysis using the first derivative.
Soil types were separated with 100% accuracy and levels of organic carbon were separated with 96% accuracy by linear discriminant analysis using the first nine principal components.
A capacity (resistance) factor of 0.70 is also proposed based on a reliability analysis using the first order second moment (FOSM) method.
We run statistical analysis using the third round of High Performance Manufacturing international research project data set and we find that upstream and downstream JIT are complements.
Adopting an ambient isothermal bulk modulus (210 GPa) obtained previously using the Brillouin scattering technique, analysis using the third-order Birch Murnaghan equation of state yielded pressure derivative KT0′=5.6 8), with zero-pressure volume of 263.9 2) Å3 for MgSiO3 akimotoite.
This cancels the first analysis and we continue the analysis using the second cut-off values.
The first-stage MS spectrum was used to generate a list of targets for direct MSn analysis using the second instrument, vMALDI-LTQ.
The results from the sensitivity analysis using the first-ever LDL-C measurement and a longer prescription window for lipid-lowering agents showed that the group of nonusers with low or very low LDL-C contained a lower proportion of men, were of younger mean age, and had a lower prevalence of most comorbidities and medication use when compared with the main analysis (Table S4).
