The phrase "analyzed with the procedure" is correct and usable in written English.
You can use it when describing a method or process by which something has been examined or evaluated.
Example: "The data was analyzed with the procedure outlined in the research paper to ensure accuracy."
Alternatives: "assessed using the method" or "evaluated according to the procedure."
Mite density and the densities of the most abundant species, occurring in at least five fallows, were analyzed with the procedure GLM (General Linear Model) of the statistical software SAS 9.1 according to a design with habitat age and plant species as factors, an interaction term (age × plant) and site as random effect nested within habitat age.
Due to the inherent limitation in the maximum number of sequences (n = 14) that can be handled by the recombination detection program, 14 P. vivax sequences were randomly selected from a total of 43 sequences and analyzed, with the procedure being repeated five times.
Data were analyzed with the MIXED procedure (continuous) and GLIMMIX procedure (categorical) of SAS.
For better cavitation inception performance, a raked tip turbine design was proposed and analyzed with the developed procedure.
Bone marrow derived imDCs were also analyzed with the same procedure but using CPMV-AF488.
Differences between means were analyzed with the LSD procedure at α = 0.05.
The data were analyzed with the Kolmogorov Smirnov procedure to test for normal distribution.
Human urine samples were analyzed with the same procedure except that 100 μL of sample was used and treated with 900 μL ethanol.
A concentration series of coniferyl alcohol, analyzed with the same procedure as the analytical samples, was done to create a standard curve.
Data on the proportion of cows pregnant after TAI were analyzed with the LOGISTIC procedure of SAS using a backward stepwise logistic model.
Effects on the proportion of cows that were successfully synchronized for TAI was also analyzed with the LOGISTIC procedure of SAS using a backward stepwise logistic model as described above.
