variance by a factor of

USAGE SUMMARY

The phrase "variance by a factor of" is correct and usable in written English.
It can be used in contexts involving statistics, mathematics, or scientific discussions to describe how much a quantity changes relative to another quantity. Example: "The experiment showed a variance by a factor of three in the results, indicating significant differences between the two groups."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

8 human-written examples

We find that conditions for equilibrium are found for values of pressure or density at variance by a factor of ∼2 compared to the traditional way of using the capillarity equation and a bulk He EOS.

Acta Materialia

Individuals from the hybrid population mate only within the population, decreasing the variance by a factor of 2 each generation.

Genetics

Results: Within-child variance exceeded between-child variance by a factor of two to eight, depending on metabolite grouping.

Environmental Health Perspectives

In theory, using a reference sample design instead of a direct comparison design should increase the variance by a factor of 2. This increase has in fact been observed in practice [ 33].

BMC Genomics

For example, averaging N identical independent model predictions would reduce the resulting prediction variance by a factor of 1/ N. In most ensemble learning, including TAGGING, reduction is obviously less than 1/ N because of dependent base predictions.

G3: Genes, Genomes, Genetics

Moreover, reducing the genetic variance by a factor of 10 in the presence of outliers reduced the accuracy of the estimated heritability even more in scenarios 4 to 6 relative to scenarios 1 to 3, whereas increasing the size of the outliers markedly degraded accuracy in scenarios 9 to 10 relative to scenarios 7 and 8.

G3: Genes, Genomes, Genetics

Human-verified similar examples from authoritative sources

Similar Expressions

52 human-written examples

In women, this was due to restriction of all forms of variance, overall by a factor of about 2. In men, genetic variance did not vary with education, but results for shared and nonshared environmental variance were similar to those for women.

Plosone

Equation (29b) indicates that the bias and variance are reduced by a factor of 1 M 1 and 1 2 M 1 compared to Equations (28a) and (28b), respectively.

EURASIP Journal on Advances in Signal Processing

Because the noise is independent at each virtual sensor, the second and third terms in the RHS remain zero-mean complex Gaussian and their variance is reduced by a factor of N t N r.

EURASIP Journal on Advances in Signal Processing

For a large number of N t N r, the last term can also be considered as complex Gaussian as a result of the central limit theorem, with mean σ n 2, and its variance is reduced by a factor of N t N r as well.

EURASIP Journal on Advances in Signal Processing

Compared with the coefficient of the relationship matrix, the additive genetic variance is larger by a factor of (1+ f).

G3: Genes, Genomes, Genetics

Expert writing Tips

Best practice

When using "variance by a factor of", ensure that the context clearly defines what is being measured and compared. Specify the units and the direction of the variance (increase or decrease) for clarity.

Common error

A common mistake is to misunderstand the baseline value from which the variance is calculated. Always clearly state the reference point to avoid misrepresenting the magnitude of the change described by "variance by a factor of".

Linguistic Context

The phrase "variance by a factor of" functions as a prepositional phrase, modifying a noun or clause to describe the extent of statistical dispersion or difference. It's commonly used in scientific and analytical writing to quantify the magnitude of change or difference between two values, as Ludwig examples show.

Expression frequency: Rare

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Academia

0%

Ludwig's WRAP-UP

The phrase "variance by a factor of" is a prepositional phrase primarily used in scientific and statistical contexts to describe the magnitude of difference between two values. Ludwig AI indicates that it is grammatically correct and suitable for formal writing. Due to its technical nature, it is less common in general conversation. When using this phrase, ensure clarity by specifying what is being measured, the units, and the direction of change. Related alternatives include "change by a ratio of" and "differ proportionally by". A potential pitfall is misinterpreting the baseline, so always clearly define the reference point.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

change by a ratio of

Focuses on the proportional relationship using the term "ratio" instead of "factor".

differ proportionally by

Emphasizes the proportional difference between two values.

vary in magnitude by

Highlights the difference in size or amount between two quantities.

increase/decrease by a multiple of

Specifies whether the change is an increase or decrease and uses "multiple" instead of "factor".

scale by a factor of

Uses the term "scale" to indicate a proportional change.

fluctuate by a ratio of

Implies a back-and-forth change using "fluctuate" and "ratio".

shift by a power of

Indicates a change related to exponents using "power".

alter by a proportion of

Emphasizes the fractional change using "proportion".

deviate by a coefficient of

Uses "coefficient" to describe a multiplicative factor of deviation.

grow/shrink by an order of

Emphasizes a significant magnitude change, using "order" to imply powers of ten.

FAQs

How can I use "variance by a factor of" in a sentence?

You can use "variance by a factor of" to describe how much a quantity changes relative to another. For example, "The experimental results showed a variance by a factor of two compared to the control group".

What does "variance by a factor of" mean?

It indicates that the difference or change between two quantities is proportional, specifically by the given factor. For instance, a variance by a factor of 3 means one quantity is three times larger or smaller than the other.

What are some alternatives to saying "variance by a factor of"?

You could use alternatives like "change by a ratio of", "differ proportionally by", or "vary in magnitude by depending on the context".

Is there a difference between "variance by a factor of" and "variation by a factor of"?

While both phrases describe change, "variance" is more specific to statistical contexts, referring to the dispersion of data. "Variation by a factor of" is a broader term that can apply to any kind of change or difference.