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The phrase "a large amount of variance" is correct and usable in written English.
It can be used when discussing statistical data, research findings, or any context where variability is being measured or analyzed.
Example: "The study revealed a large amount of variance in the participants' responses, indicating differing opinions on the subject."
Alternatives: "a significant degree of variance" or "a considerable amount of variability."
Exact(13)
The terrain analysis variables did not explain a large amount of variance within the models.
A review of hundreds of studies about sales productivity finds that "[t]he results of this research have simply failed to identify behavioral predispositions or aptitudes that account for a large amount of variance in performance for salespeople.
Both apparent and reported sadness accounted for a large amount of variance among the four clusters.
It is clear that a large amount of variance is explained by the predictors.
However, there is a large amount of variance that remains unexplained.
Items were deleted when they had significantly lower item reliability than that of the other items posited to measure the underlying construct, showed insignificant path coefficients for the construct, showed large residuals with other indicators, shared a large amount of variance with other indicators, or shared common variance with indicators posited to measure other constructs.
Similar(47)
A larger amount of variance can be attributed to variance across origin groups: 20% of all variance in the educational achievement of migrant pupils can be attributed to the countries migrant children migrated from.
The chromosome-by-chromosome analyses showed that, on average, longer chromosomes account for a larger amount of variance in initiation.
If interactions among the various components of the immune response contribute a large amount of epistatic variance, or if environmental variation affecting each component of the response combines to increase the total variance in the functional outcome, then this could reduce the heritability of functional response even though each component may show high levels of heritability.
For the slant judgments of physical planar surfaces, the Bayesian model of Eq. 15 explains a large amount of the variance, but a very small portion of additional variance is accounted for by the head translation velocity (Figure 6, bottom panel).
Fourth, although the interplay between bodily responses, their perception, and their regulation did account for significant individual variation in rejection rates, a large amount of the variance in the model nevertheless remained unexplained.
More suggestions(11)
a large amount of divergence
a huge amount of variance
a large amount of deviation
a large amount of inconsistency
a large amount of variability
a substantial amount of variance
a large amount of variation
a significant amount of variance
a large amount of differential
a large amount of variables
a large amount of gaps
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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