proportion of variation

USAGE SUMMARY

The phrase "proportion of variation" is correct and usable in written English.
It can be used in contexts such as statistics, research, or data analysis to describe the extent to which variation in one variable can be attributed to another variable. Example: "The proportion of variation in test scores explained by study habits was significant, indicating that students who studied regularly performed better."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

We found that institutional and socioeconomic factors explained the largest proportion of variation in remnant vegetation.

Applied Geography

Demonstrated are the variation and proportion of variation explained in the sample when considering successive clusters.

International Journal of Bipolar Disorders

The proportion of variation attributable to within-population differences was very high (69.2% by RAPDs; 84.51% by ISSRs).

Scientia Horticulturae

The relatively low proportion of variation (0.26) suggests, however, that size is not the only important consideration.

EURASIP Journal on Advances in Signal Processing

The proportion of variation sites in each locus varies from 3% (odhA) to 17% (leuA) (Table 2).

Bioresources and Bioprocessing

Including a relative height term in this linear model increased the proportion of variation in SGA explained to 30%%.

New Zealand Journal of Forestry Science

The proportion of variation explained indicates how well the set of molecular descriptors is able to explain the variation in the property/activity value.

Journal of Cheminformatics

Natural selection itself does not create new traits; it only changes the proportion of variation that is already present in the population.

Evolution: Education and Outreach

The best model reached a root mean square error (RMSE) of 50.28 which corresponds to a cross-validated proportion of variation explained (q2) of 0.9393 (Table 1).

Journal of Cheminformatics

The predictive proportion of variation explained (Q2) by the model and the root mean squared error (RMSE) are performed to determine the external predictive ability of the model.

Journal of Cheminformatics

The proportion of variation explained by the model and the root mean squared error (RMSE) are performed to determine the goodness of fit of the model.

Journal of Cheminformatics

Expert writing Tips

Best practice

When reporting the "proportion of variation", specify the factors or variables that account for this proportion to provide a clear and informative analysis.

Common error

Avoid assuming that a high "proportion of variation" explained by a model automatically implies practical importance or causality. Always consider potential confounding factors and the context of the data.

Linguistic Context

The phrase "proportion of variation" functions as a noun phrase, typically serving as the object of a preposition or a subject/object within a clause. Ludwig examples illustrate its use in describing statistical findings and research outcomes.

Expression frequency: Very common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Ludwig's WRAP-UP

The phrase "proportion of variation" is a common term in scientific and academic writing, used to describe the degree to which differences in a dataset can be explained by certain factors. As Ludwig AI confirms, the phrase is grammatically correct and primarily found in scientific contexts. When using this phrase, it's essential to specify the factors contributing to the variation for clarity and to avoid misinterpreting statistical significance as direct causality. Related phrases like "variance proportion" or "percentage of variation" can offer alternative ways to express the same concept, depending on the desired level of formality and emphasis.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

variance proportion

This phrase replaces "of variation" with "variance", focusing directly on the statistical measure.

percentage of variation

Using "percentage" instead of "proportion" quantifies the variation in hundredths.

degree of variability

"Degree of variability" emphasizes the measure of how spread out data is, instead of focusing on the mathematical term.

extent of variation

"Extent" highlights the range or scope of the differences observed.

amount of variation

"Amount" provides a less formal way to refer to the quantity of variation present.

ratio of variation

Using "ratio" frames the variation as a relative quantity.

level of variation

"Level" suggests a specific point on a scale of variation.

share of variation

"Share" indicates a portion of the total variation.

fraction of variation

Similar to proportion and percentage, "fraction" represents a part of the whole variation.

contribution to variation

Focuses on what factor or element adds to the overall variation.

FAQs

How is the "proportion of variation" typically expressed?

The "proportion of variation" is often expressed as a decimal (e.g., 0.75) or as a percentage (e.g., 75%). It can also be represented using statistical measures like R-squared.

What does a high "proportion of variation" indicate?

A high "proportion of variation" suggests that a large part of the differences observed in a dataset can be attributed to the factors being examined, indicating a strong relationship.

What are some alternative ways to describe the "proportion of variation"?

You can use alternatives like "variance proportion", "percentage of variation", or "degree of variability" depending on the context.

How does the "proportion of variation" differ from the correlation coefficient?

The "proportion of variation", often represented by R-squared, indicates the amount of variance in one variable that is predictable from another. The correlation coefficient measures the strength and direction of a linear relationship but doesn't directly quantify explained variance.