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The phrase "a reduction in variance" is correct and usable in written English.
It can be used in contexts such as statistics, data analysis, or discussions about variability in research findings.
Example: "The new methodology resulted in a reduction in variance, leading to more reliable results."
Alternatives: "a decrease in variability" or "a lowering of variance".
Exact(8)
The overall fit between observed and calculated waveforms is quite good (Fig. 4), with a reduction in variance of about 91%.
This high declared portion of variance is not unusual, as the Australian AR-DRG-system from 1998 already showed a reduction in variance (RIV) of 68%, and the English PbR costing system also showed a RIV of over 80% in 2007 2008 [34] 34]. Figure 4 R² over time (based on each year's G-DRG system), Source[6, 22, 25 30].
This transformation ranks the new orthogonal variables in order of their importance and then involves eliminating PCs with low cumulative explanatory power to effect a reduction in variance.
Only MM provided a reduction in variance across all six outcomes measured (including 'days in bed').
Additionally, the pulsation of the cortex in a live animal contributes to a reduction in variance.
For high-variance base learners (e.g., models in which QTL are included at low selection stringency with dense maps), ensembling might provide a reduction in variance of predictions.
Similar(52)
If people are risk-averse with regard to their health, they value a reduction in the variance of health status even if its expected value does not change.
As with overall scoring balance, the size of this effect in CFB games is much larger (about 2.5 times larger) than in NFL games, which is consistent with a reduction in the variance of the distribution of skill across teams.
The two methods both identified the dominant feature of the data, a reduction in the variance of pH over Chalk parent material, and also identified less pronounced effects of other parent material contrasts.
The application of a relatively broad post-filter to PSF modelling images may seem counterintuitive as it will undo the improvements in partial volume effect, but there are likely to be other benefits that have not been reported such as a reduction in voxel variance in the images.
Trade-offs embedded in the relationship between flower size and pollination success contribute to a reduction in the variance of fecundity among species.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com