difference of sums

USAGE SUMMARY

The phrase "difference of sums" is correct and usable in written English.
It can be used in mathematical contexts when discussing the result of subtracting one sum from another. Example: "To find the difference of sums, calculate the total of each group and then subtract the smaller total from the larger one."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

7 human-written examples

Regions are ranked by the difference of sums between two NGS samples.

BMC Genomics

Neither probabilistic divergence measures nor difference of sums of squares revealed recombination among sequence types (p>0.05).

BMC Evolutionary Biology

We also used the Difference of Sums of Squares (DSS) test implemented in TOPALi v. 2.5 [ 75].

BMC Evolutionary Biology

First, difference of sums of squares (DSS, [ 52]) compared the fit of genetic distance matrices for two adjacent windows to the same tree topology to produce the DSS statistic, the significance of which was determined through parametric bootstrapping in TOPALi.

BMC Genomics

Intra-individual ITS1 variants were added to the network analysis generated by Network 4.5.1.6 (Fluxus Technology Ltd .. Difference of sums of squares and probabilistic divergence measures in Topali v.2 were used to measure putative recombination break points among intra-individual ITS1 sequence types using a step size of 5, window size of 100, and 500 threshold runs.

BMC Evolutionary Biology

First, we used difference of sums of squares (DSS, [ 70]) to compare the fit of genetic distance matrices for two adjacent windows to the same tree topology to produce the DSS statistic, the significance of which was determined through parametric bootstrapping in TOPALi [ 71].

BMC Evolutionary Biology

Human-verified similar examples from authoritative sources

Similar Expressions

53 human-written examples

The "difference of sum scores" was calculated for each question by subtracting the sum score for the cookbook-based approach from the sum score for the MBL approach.

CBE Life Sciences Education

The Gibbs free energy, the difference of sum of the binding enthalpy and the entropy (TΔ Sb), also changes with salt concentrations.

Biochemistry

For CHQ analysis, the differences of sum scores at week 6 after treatment to baseline will be tested by Wilcoxon rank sum test using StatXa.

BMC Pulmonary Medicine

The signal-to-noise values for all peptides were summed within each TMT channel, and each channel was scaled according to the interchannel difference of these sums to account for differences in sample handling.

Analytical Chemistry

The test statistic is based on the maximum difference of partial sums (MDPS) over time points between the two groups.

Statistical Methodology

Expert writing Tips

Best practice

When describing statistical analyses, clearly define which sets of values are being summed before calculating the "difference of sums" to avoid ambiguity.

Common error

Avoid using "difference of sums" when you actually mean "sum of differences". The former involves summing each set of numbers first, then finding the difference, whereas the latter requires finding the difference between each corresponding pair of numbers first, then summing those differences.

Linguistic Context

The phrase "difference of sums" primarily functions as a noun phrase. It refers to a specific mathematical operation and its result. Ludwig AI indicates its grammatical correctness.

Expression frequency: Uncommon

Frequent in

Science

70%

Wiki

10%

Encyclopedias

5%

Less common in

News & Media

3%

Formal & Business

3%

Reference

3%

Ludwig's WRAP-UP

The phrase "difference of sums" is a grammatically correct term, as confirmed by Ludwig AI, used to describe a mathematical operation—specifically, the result of subtracting one sum from another. While not overly frequent, it appears predominantly in formal and scientific writing, indicating a specialized context. Common alternatives include "difference between totals" or "subtraction of sums", which offer similar meanings. When employing this phrase, ensure clarity regarding the summed values to avoid confusion with related concepts like the "sum of differences". Understanding its specific function and purpose within scientific and statistical contexts is vital for accurate communication.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

difference between totals

Replaces "sums" with "totals" to express the same mathematical concept with a more common term.

subtraction of sums

Emphasizes the operation being performed rather than the result, still concerning sums.

sum difference

Reverses the order of the words, while still implying a calculation involving sums and a difference.

aggregate difference

Uses 'aggregate' to imply a total, then finds the difference.

disparity of totals

Highlights the inequality between two totals.

resultant of summed values

A more descriptive alternative highlighting that you're looking at the outcome after summing.

variation in total values

Focuses on the difference found within total values.

computed sum contrast

Emphasizes that a contrast is computed from sums.

net sum variance

Describes the variation after summing values and finding a net result.

overall sum deviation

Indicates the deviation in the overall result after totaling values.

FAQs

How is the "difference of sums" calculated?

The "difference of sums" is calculated by first finding the sum of each set of numbers, and then subtracting one sum from the other. For example, if you have set A {1, 2, 3} and set B {4, 5, 6}, the sum of A is 6 and the sum of B is 15, making the "difference of sums" 15 - 6 = 9.

In what context is the term "difference of sums" typically used?

The term "difference of sums" is often used in statistical analysis, scientific research, and mathematical computations to compare the totals of different datasets or categories. It's commonly found in scientific papers and data analysis reports.

What is an alternative to saying "difference of sums"?

Depending on the context, you can use alternatives such as "difference between totals", "subtraction of sums", or "net difference of aggregated values". Consider the audience and the level of formality required when choosing the best alternative.

Is "difference of sums" the same as "sum of differences"?

No, "difference of sums" and "sum of differences" are not the same. The "difference of sums" involves calculating individual sums and then finding the difference, while the "sum of differences" involves calculating individual differences and then summing them up.