variance index

USAGE SUMMARY

The phrase "variance index" is correct and usable in written English.
It can be used in contexts related to statistics, finance, or data analysis to refer to a measure that indicates the degree of variance in a dataset or financial performance. Example: "The variance index showed a significant deviation from the expected results, prompting further investigation into the underlying factors."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

15 human-written examples

The variance index and residence time distribution (RTD) were used to evaluate the statistical results.

Chemical Engineering Science

In that scheme, controller parameters are adjusted when the control performance based on the MV-Index (Minimum Variance Index) deteriorates.

IFAC-PapersOnLine

In this paper, a theoretical study on the normalization of the corrected phase variance index is conducted.

EURASIP Journal on Advances in Signal Processing

The new method compares favorably with the widely used minimum variance index (MVI), with both indices showing similar trends under changes in controller tunings during closed-loop simulations.

Automatica

The weighted coefficient of variance index is used as a quantitative description of the variance measure to decide the module type.

Chinese Journal of Mechanical Engineering

Based on performance indicators such the mean squared errors, fractional variance, index of agreement and coefficient of determination (R2), the BPANN model demonstrated significant performance with R2 reaching 87%.

Bioresource Technology

Human-verified similar examples from authoritative sources

Similar Expressions

45 human-written examples

Four different risk measures are implemented and compared: variance, variability index, downside risk and conditional value-at-risk (CVaR) so as to conclude on these measures adequacy.

Computer Aided Chemical Engineering

In succession, a new fault-tolerant controller design strategy is set up for linear system with regional pole index, steady state-variance index and H-infinity index constraints, and the consistency theory on the three kinds of performance indices is also discussed.

IFAC Proceedings Volumes

The aerosol state parameters are the aerosol particle effective radius, effective variance, complex index of refraction, and aerosol column number density.

Journal of Quantitative Spectroscopy and Radiative Transfer

Use the type I mean to compute the type I theoretical variance of index positions given the observed number of amino acids.

Plosone

ANOVA: analysis of variance; IQV: Index of Qualitative Variation; MV: mechanical ventilation.

Annals of Intensive Care

Expert writing Tips

Best practice

When reporting a "variance index", always specify the type of variance being measured (e.g., phase variance, minimum variance) and the context in which it is relevant to avoid ambiguity.

Common error

Avoid using "variance index" interchangeably with similar but distinct statistical measures like standard deviation or coefficient of variation. While related, the "variance index" often refers to a specific, calculated index rather than a general measure of spread.

Linguistic Context

The phrase "variance index" functions as a noun phrase identifying a specific measure of statistical dispersion. It typically serves to quantify the degree of variability within a dataset or system, as evidenced by Ludwig examples.

Expression frequency: Uncommon

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Academia

0%

Ludwig's WRAP-UP

The phrase "variance index" is a grammatically sound noun phrase used to quantify data dispersion, primarily within scientific and academic contexts. Ludwig AI indicates that the term is valid and useful. While not as common as broader terms like "standard deviation", it finds specific application in fields requiring precise statistical measurement. When using the term, specify the type of variance being measured. Alternatives such as "variability index" or "dispersion measure" may be appropriate depending on the context.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

variability index

This alternative emphasizes the degree of dispersion or spread in a set of data.

dispersion measure

This alternative refers to a statistical measure that quantifies the spread of data points in a distribution.

scatter index

This alternative describes how spread out the data points are around a central value.

deviation index

This alternative highlights the extent to which individual data points differ from the mean or expected value.

inconsistency index

This alternative focuses on the degree of disagreement or lack of uniformity within a set of observations.

heterogeneity measure

This alternative is used to assess the degree of dissimilarity or variety within a population or sample.

spread indicator

This alternative indicates the extent to which data points are distributed around a central value.

range statistic

This alternative is used to quantify the difference between the largest and smallest values in a dataset.

variation coefficient

This alternative measures the relative variability of a dataset, normalized by its mean.

coefficient of dispersion

This alternative refers to a statistical measure of the dispersion of data points around their mean.

FAQs

How is a "variance index" used in research?

A "variance index" is used to quantify the amount of dispersion or variability within a dataset. For example, in clinical research, it can assess the heterogeneity of treatment effects across different patient subgroups.

What are some alternatives to using the phrase "variance index"?

Depending on the context, you could use alternatives like "variability index", "dispersion measure", or "deviation index".

How does a "variance index" differ from standard deviation?

While both measure data dispersion, the "variance index" is often a calculated index tailored to a specific context or application, whereas standard deviation is a general measure of the spread of data around the mean.

In what fields is the term "variance index" commonly used?

The term "variance index" is frequently used in fields such as statistics, signal processing, finance, and environmental science, where quantifying data variability is essential.