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The phrase "a weighted average basis" is correct and usable in written English.
It can be used in contexts involving calculations or assessments where different values are given different levels of importance or weight.
Example: "The final grade will be calculated on a weighted average basis, taking into account both the midterm and final exam scores."
Alternatives: "using a weighted average" or "on a weighted average method".
Exact(2)
The amino acids encoded by G1 codons tend to be hydrophobic in Es, neutral in Hs, and slightly hydrophilic in As, on a weighted average basis.
In the C1 and T1 codons, the associated amino acids are hydrophilic and hydrophobic, respectively, in the three secondary structures, on a weighted average basis (Fig. 3D); however, the amino acid hydropathy trends reported according to the nucleotide composition in the first codon position are just weak.
Similar(58)
On a weighted-average basis, after allowing for capital expenditure, cashflow only just covers interest payments (see table).
"Before taking into account any removal of capacity in 2002," he said, "we had estimated that North American capacity would expand by 12.4percentt on a weighted-average basis".
Akaike weights allow for predictions on the basis of a weighted average of all of the considered models [6, 18].
This proportion is estimated on the basis of a weighted average of data from England and Wales (see Supplementary Table 1, footnote (4)).
Here's the real effective exchange rates of Britain and Italy on a ULC basis — that's a weighted average of the exchange rate against trading partners, adjusted for changes in unit labor costs: Britain has achieved a 15 percent relative deflation via depreciation; it would take incredibly painful deflation for Italy to achieve the same.
Such PWMs represent a weighted average of aligned sequences and provide the basis for the genome-wide computational predictions of TFBSs (82, 83).
We report both a non-weighted and a weighted average, in which we apply double weight for clinicians.
They also observed that in mixtures containing both LMW and unfractionated heparin, the components could not be resolved on the basis of diffusion, and the diffusion coefficient measured for heparin was a weighted average of both components.
(That is a weighted average).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com