determine the variance

USAGE SUMMARY

The phrase "determine the variance" is correct and usable in written English. You can use it in contexts involving statistics, data analysis, or research when discussing the calculation of variance in a dataset. For example, "To understand the spread of the data, we need to determine the variance." Alternative expressions include "calculate the variance" and "find the variance."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

34 human-written examples

Simpler numerical methods to determine the variance of the composition distribution are proposed.

Polymer

While the mean concentration 〈C〉 was investigated extensively in the past, the aim here is to determine the variance σC2, a measure of concentration fluctuations.

Journal of Contaminant Hydrology

This study presents a pipeline to determine the variance incurred at each stage of a common quantitative proteomics protocol involving metabolic labelling.

Journal of Proteomics

To this end, we mathematically determine the variance of the aggregated traffic processes as well as their wavelet energy across time scales, considering a multiplicative cascade based multifractal model for the network traffic traces.

AEU - International Journal of Electronics and Communications

To determine the variance of a geometric random variable, we first compute E [ X 2 ].

Advances in Difference Equations

Each CAM has a misclosure vector which can be used to determine the variance components (VCs) according to a pre-described stochastic model for the observations error.

Earth, Planets and Space

Human-verified similar examples from authoritative sources

Similar Expressions

26 human-written examples

A geostatistical analysis is performed on the time series of the components of the hydraulic head gradient to determine the variances and integral scales present.

Journal of Contaminant Hydrology

The standard approach for sensory integration modelling (e.g., refer [2], [5]) is to determine the variances in each modality independently in uni-modal experiments, thereby eliminating them as free parameters.

Plosone

It is not possible to determine the variances of the independent components, as both S and A := W-1 are unknown, and the solution is thus undetermined up to scaling.

Behavioral and Brain Functions

Determine the variances of each data set.

WikiHow

If the amplitude of the Prompt correlator output is assumed to be normalized to unity, the inverse of (18) determines the variance of the post-correlation noise components: σ n 2 = 1 C / N 0 T i γ. (19).

EURASIP Journal on Advances in Signal Processing

Expert writing Tips

Best practice

When writing scientific reports, use "determine the variance" to clearly state that you are calculating or finding the variance in a dataset. This emphasizes the statistical process.

Common error

Avoid using "determine the variance" when you actually intend to find the standard deviation. While related, variance is the square of the standard deviation, representing the spread of data differently.

Linguistic Context

The phrase "determine the variance" functions as a directive phrase in analytical contexts. Its primary grammatical function is to call for or describe the statistical process of finding the variance. As Ludwig AI explains, this phrase is grammatically sound.

Expression frequency: Uncommon

Frequent in

Science

90%

Wiki

5%

Formal & Business

5%

Less common in

News & Media

0%

Encyclopedias

0%

Reference

0%

Ludwig's WRAP-UP

In summary, "determine the variance" is a phrase used to describe the act of calculating the variance in different contexts. As Ludwig AI explains, the phrase is grammatically correct and used across diverse scientific areas. The phrase is especially frequent in scientific papers. For alternative expressions, one can use phrases like "calculate the variance" or "find the variance", depending on the desired level of formality. It is important to remember that confusing variance with standard deviation is a common mistake and that these two concepts are different. In short, while not extremely frequent, "determine the variance" is a useful phrase in technical writing.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

Calculate the variance

Replaces "determine" with the more direct "calculate", focusing on the mathematical operation.

Find the variance

Uses "find" as a simpler alternative to "determine", suitable for less formal contexts.

Assess the variance

Emphasizes the evaluation aspect of variance, implying a judgment or estimation.

Establish the variance

Highlights the act of setting or defining the variance, useful when the variance is being controlled or modeled.

Quantify the variance

Focuses on measuring the variance with numerical precision.

Estimate the variance

Suggests an approximation or inference of the variance, rather than an exact calculation.

Work out the variance

An informal alternative to "calculate", implying a problem-solving approach.

Compute the variance

Similar to "calculate", but may suggest using a computer or algorithm.

Measure the variance

Focuses on the act of obtaining a value for the variance through observation or experimentation.

Ascertain the variance

A more formal and precise way of saying "determine", suitable for technical or legal contexts.

FAQs

What does "determine the variance" mean in statistics?

In statistics, "determine the variance" means to calculate or find the measure of how spread out a set of data points are around their mean. It's a key step in understanding the distribution of data.

What is a simpler way to say "determine the variance"?

You can use simpler alternatives like "calculate the variance" or "find the variance" depending on the context. The phrase "calculate the variance" is more straightforward.

How is "determine the variance" used in research?

"Determine the variance" is commonly used in research to analyze data sets and understand the degree of variability or dispersion. Researchers use it to assess how much individual data points differ from the average.

What is the difference between "determine the variance" and "analyze the variance"?

"Determine the variance" refers specifically to the act of calculating or finding the variance, whereas "analyze the variance" implies a broader examination of the sources and implications of that variance within a dataset. Analyzing involves more interpretation than simply finding the value.