"proceed with the analysis" is correct and usable in written English.
You can use this phrase when you want to indicate that you want to continue with something, usually something related to researching or examining data. For example, "Now that we've gathered all the necessary data, let's proceed with the analysis."
Then, when you have helped bring markets back to an arbitrage-free status (and reaped your reward for undertaking this socially valuable activity), proceed with the analysis as above.
To proceed with the analysis, I gather information concerning the nature of tasks performed by workers.
Similarly, Bartlett's test of sphericity was significant at (p <0.001), indicating sufficient correlation among items to proceed with the analysis.
Therefore, it is not so far-fetched to proceed with the analysis as if the business were in the hands of private firms.
To proceed with the analysis of this structure it was required to know all the characteristics of the materials and structural elements.
The rotation axes were marked on the midpoint of the right condyle to obtain the sagittal cuts and proceed with the analysis of the condylar position (Figure 5).
Before proceeding with the analysis, we argue the correctness of the algorithm in Fig. 1.
Before proceeding with the analysis of current renewable energy initiatives in Oman, this section provides a discussion of the context in which renewable energy initiatives are taking place.
Before proceeding with the analysis, original IR spectra (4000 375 cm−1) were truncated to 2000 700 cm−1 in order to exclude areas containing systematic noise or insignificant spectral information.
Before proceeding with the analysis, Table 1 shows a correlation between the EWCS and O*Net.12 The measures of the two surveys are positively correlated, with the RTI having the highest correlation (0.86) and routine task having the lowest correlation (0.67).
For example, in the case of single cell Raman imaging, spectra from the area devoid of cells (containing only buffer and substrate) need to be eliminated before proceeding with the analysis.
