variance for each

USAGE SUMMARY

The phrase "variance for each" is correct and usable in written English.
It can be used when discussing differences or variations among individual items or groups in a dataset or analysis. Example: "In our study, we calculated the variance for each participant's performance to understand the differences in their results."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

This approach allows the regressors in each GLM to capture both the shared and unique variance for each alternative.

Nature

Principal Component Analysis (PCA) is used to obtain the representative Principal Components (PC) explaining 90 95% variance for each cluster.

Journal of Hydrology

Then a single estimator and its asymptotic variance for each technique, suggested by trying to minimize the asymptotic variance over the family of estimators, is obtained.

Journal of Hydrology

Using this corrected NAS as response of the design, significant quadratic models with high explained variance for each studied compound are obtained.

Analytica Chimica Acta

Different from the standard GPR algorithm, three weighted algorithms put the weight on sampled data by calculating the noise variance for each data point.

Chemometrics and Intelligent Laboratory Systems

This maximum likelihood method involves the re-computation of the variance for each iteration of the optimization procedure, automatically re-weighting the objective function.

Computers & Chemical Engineering

RV with mean zero and variance for each.

EURASIP Journal on Wireless Communications and Networking

However, there remained unique variance for each of the subscales.

Evolution: Education and Outreach

RV with mean zero and variance for each.,,, and are independent of each other for each.

EURASIP Journal on Wireless Communications and Networking

Here also, we computed the IQV (index of qualitative variance) for each cluster as previously.

Journal of Software Engineering Research and Development

Thesum, sum of squares, mean, and variance for each iteration are tabulated inTable 5.

Journal of Industrial Engineering International

Expert writing Tips

Best practice

When reporting statistical results, clearly state the sample size and units of measurement alongside the "variance for each" category to provide context and ensure reproducibility.

Common error

Avoid assuming that a high "variance for each" group implies that the grouping variable directly causes the observed differences. Variance indicates the degree of spread within each group, but further analysis is needed to establish causality.

Linguistic Context

The phrase "variance for each" functions as a descriptor in statistical and analytical contexts. It is used to specify that the variance is being considered separately for multiple distinct entities or groups, as confirmed by Ludwig's examples.

Expression frequency: Very common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Encyclopedias

0%

Ludwig's WRAP-UP

The phrase "variance for each" is grammatically sound and commonly employed in scientific and statistical writing to specify the variance calculated for individual items or groups within a dataset. Ludwig confirms its correctness and frequent usage, primarily in science-related contexts. When using this phrase, ensure you provide sufficient context regarding the data and units of measurement. While indicating variability within groups, be cautious not to imply direct causation without further analysis. Alternatives include "variation for each", "variability for each", and "deviation for each", depending on the specific nuance you wish to convey. In conclusion, "variance for each" is a valuable term for precise statistical reporting, especially when comparing variability across different categories.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

variation for every

Replaces "each" with "every", emphasizing individual instances within a larger set.

variability for each

Substitutes "variance" with "variability", focusing on the degree to which data points differ from each other.

deviation for each

Replaces "variance" with "deviation", highlighting the extent to which individual data points stray from a central value.

dispersion for each

Uses "dispersion" instead of "variance", emphasizing the spread of data points around a central tendency.

diversity for each

Replaces "variance" with "diversity", focusing on the range of different forms or qualities within a set.

range for each

Substitutes "variance" with "range", referring to the difference between the highest and lowest values in a dataset.

fluctuation for each

Uses "fluctuation" instead of "variance", emphasizing the irregular variations or changes in data points.

scatter for each

Replaces "variance" with "scatter", focusing on the degree to which data points are dispersed or spread out.

spread for each

Substitutes "variance" with "spread", referring to the extent to which data points are distributed around a central value.

difference for each

Replaces "variance" with "difference", highlighting the degree to which individual items differ from one another.

FAQs

How is "variance for each" used in statistical analysis?

In statistical analysis, "variance for each" category or group quantifies the dispersion or spread of data points within that specific category. It helps in understanding the variability inherent in each group and comparing it with others.

What does a high "variance for each" category indicate?

A high "variance for each" category suggests that the data points within that category are widely spread out from the mean. This could indicate greater heterogeneity or the influence of other factors not accounted for in the analysis.

How does the "variance for each" differ from the overall variance?

While overall variance measures the dispersion across the entire dataset, "variance for each" specifically examines the dispersion within individual groups or categories. This provides a more granular understanding of where the variability is concentrated.

Are there alternatives to "variance for each" that I can use in my writing?

Yes, depending on the context, you can use alternatives like "variation for each", "variability for each", or "deviation for each" to convey similar meanings with slightly different emphasis.