The phrase "analysis using the prior" is correct and usable in written English.
It can be used in contexts where you are discussing an analysis that incorporates prior information or data, often in statistical or research settings.
Example: "The analysis using the prior data revealed significant trends that were not previously considered."
Alternatives: "analysis based on the prior" or "evaluation utilizing the prior".
On the spatial unit of analysis, using the MRF prior, we fit district and subdistrict in separate models because of limited structural variability.
We also performed analysis using the uniform prior for comparison.
Interestingly, more peptides were analyzable and had significantly different abundances between the two time points using the spectral count and spectral index methods than with a prior analysis using the SIEVE method with the same data.
We hypothesized that DIMS0150 should enhance steroid sensitivity leading to improvements of symptoms and a reduced disease activity score and that prior analysis using the biomarker genes should enable a prediction of clinical response.
In the case of the analysis using the type of symptom as prior information, the 1st cluster encompassed 65% of gray mold isolates and the 2nd cluster encompassed 57% of gray mold isolates.
Both dependent variables were transformed prior to analysis using the angular (or arcsine) transformation, and all means reported in this paper are back-transformed means (unless otherwise stated).
Observed sterility of treated individuals was corrected for control mortality prior to analysis using the Schneider-Orelli formula that is recommended when assessing percent mortality/sterility of uniform population data (http://www.ehabsoft.com/ldpline/onlinecontrol.htm, accessed 19 April 2016; Schneider-Orelli 1947).
The mass spectrometer was tuned prior to analysis using the synthetic peptide TpepK (AVAGKAGAR).
For multivariate PCA, all lipids (mol%) were transformed using the square root of the arcsine to approximate normality [40] prior to analysis using the JMP software package v.8.0.1 [39].
Serum was stored at −80°C prior to analysis using the CK (NAC) reagent kit in conjunction with the AU 400 Clinical Chemistry analyser (Olympus UK Ltd).
