Sentence examples for required for our analysis from inspiring English sources

The provided propositions are necessarily required for our analysis throughout this paper.

In Section 2 we present the system model, and we introduce the main assumptions required for our analysis.

To obtain the solvent accessibility data required for our analysis, we mapped all sequences to homologous sequences with known structure in the PDB, and discarded genes for which we could not find any reliable structure information.

Five sources of data were required for our analysis, including known A-to-I RNA editing sites, the human reference genomic sequences, the human mRNA/EST sequences, the alignments between the human mRNA/EST and reference genome sequences, and the human mRNA/EST library information.

Of these individuals, only 168,506 patients had all of the data necessary to identify medications and laboratory results required for our analysis of that group.

While different methods of network inference from single or two data sources have been published [ 12], only data integration networks have a broader scope and include multiple molecular mechanisms required for our analysis.

They require a faster sampling and do not provide some of the macro level features we require for our analysis, such as pulse width or cycling frequency.

Of these SNPs, 62,765 were contained within Affymetrix probes homologous to regions in the sample DNA with the attributes required for our methylation analysis: (1) the Sty I fragment has at least one Hpa II site; (2) the SNP within the fragment does not overlap an Hpa II site; and (3) the SNP is located on an autosome.

Fully bifurcating trees were required for our diversification analysis.

In this respect and based on α = 0.05 a sample of n = 92 patients in each study condition is required for our main analysis.

We used the "sqreg" command in Stata Version 11 (StataCorp, College Station, TX) for our analysis and required the model to perform 100 repetitions of the analysis to provide more accurate bootstrapped standard errors.