fraction of sum

USAGE SUMMARY

The phrase "fraction of sum" is correct and usable in written English.
It can be used in mathematical contexts or discussions involving parts of a total amount. Example: "To find the average, we need to calculate the fraction of sum of all the values divided by the number of values."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

3 human-written examples

R2 describes the goodness of fit - the fraction of sum of squares of all the variables explained by a principal component.

BMC Musculoskeletal Disorders

We called an epistatic interaction from gene A to B if the fraction of sum of squares explained by gene A was smaller than a lower threshold and if the fraction of sum of squares explained by gene B was larger than a higher threshold.

eLife

Two concepts are further used to describe the results: R2 and Q. R2 describes the goodness of fit – the fraction of sum of squares of all the variables explained by a principal component.

BMC Musculoskeletal Disorders

Human-verified similar examples from authoritative sources

Similar Expressions

56 human-written examples

The fraction of variance explained by tissues and species was calculated by computing the fractions of sum of squares explained by the factor tissue and the factor species in a linear model.

Genome Biology and Evolution

To evaluate the fitting accuracy quantitatively, fraction of residue sum of square and deviation sum of square (RSS) is introduced: mathrm{R}mathrm{S}mathrm{S}=frac{{displaystyle sum_i^n{left {y}_i-{f}_iright)}^2}}{{displaystyle sum_i^n{left {y}_i-overline{y}right)}^2}} (7).

Earth, Planets and Space

The process stops when a predefined number of clusters is reached or the largest cluster (as measured by its residual sum of squares) is smaller than a predefined fraction of the sum of squares of the total dataset.

BMC Health Services Research

Intuitively, normalized sum capacity represents the maximum fraction of the sum capacity with full knowledge that can be achieved when nodes have partial network knowledge.

EURASIP Journal on Wireless Communications and Networking

SSRW quantifies the differences between modeled and empirical values as the fraction of the sum of squares of residuals (numerator) to the total sum of squares of variability in the dataset (denominator).

Environmental Health Perspectives

The model row contains the explained sum of squares as a fraction of the total sum of squares.

IZA Journal of Labor Policy

Our performance metric is normalized sum capacity defined in [2] which represents the maximum fraction of the sum capacity with full knowledge that can be always achieved when nodes have partial network knowledge.

EURASIP Journal on Wireless Communications and Networking

While the president's team has so far spent only a small fraction of that sum -- about $14 million -- the amount to date exceeds that of any of the nine Democratic candidates, and his spending seems likely to accelerate in coming months.

The New York Times

Expert writing Tips

Best practice

When using "fraction of sum", ensure that the context clearly defines what constitutes the "sum" to avoid ambiguity. For example, "the fraction of the sum of squares" is much clearer than simply "fraction of sum".

Common error

Avoid using "fraction of sum" without clearly defining what the "sum" refers to. Ambiguity can arise if the reader is unsure what values are being added together to form the sum, leading to misinterpretations.

Linguistic Context

The phrase "fraction of sum" functions as a mathematical descriptor, indicating a proportional relationship between a part and a whole. Ludwig's examples show its use in describing variance, squares, or other quantifiable elements.

Expression frequency: Rare

Frequent in

Science

60%

News & Media

30%

Formal & Business

10%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

The phrase "fraction of sum" is grammatically sound, although relatively rare. Ludwig AI confirms that the phrase is used in written English, particularly in scientific and news contexts, to denote a proportional relationship between a part and a whole. When using this phrase, clarity is key to ensure the reference of "sum" is well-defined, preventing misinterpretations. Alternatives like "portion of total" or "percentage of sum" may offer increased clarity depending on the context.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

portion of total

Replaces "fraction" with "portion" and "sum" with "total", emphasizing the part-whole relationship.

percentage of sum

Uses "percentage" to specify the fraction as a proportion out of 100.

ratio of sum

Emphasizes the relative size of the part compared to the whole.

proportion of total

Similar to 'portion of total', highlighting the comparative relationship.

share of total

Indicates the amount that belongs to or is allocated to a specific part of the whole.

segment of sum

Focuses on a specific part or division of the total.

piece of the total

Informal way of describing a part of the whole.

amount relative to the sum

Highlights how an amount compares to the total.

part of the sum

Simplifies the phrase to emphasize the part-whole connection.

division of total

Indicates dividing the total into smaller parts.

FAQs

What does "fraction of sum" mean in statistics?

In statistics, "fraction of sum" typically refers to a proportion or ratio calculated by dividing a specific value by the total sum of a set of values. It's often used to express the relative contribution of an individual component to the overall total.

How can I calculate the "fraction of sum"?

To calculate the "fraction of sum", first determine the total sum of all values in the dataset. Then, divide the value you're interested in by this total sum. The result will be the fraction representing that value's proportion of the total sum.

What is an alternative to saying "fraction of sum"?

You can use alternatives like "portion of total", "percentage of sum", or "proportion of total" depending on the specific context and the level of precision required.

Is "fraction of sum" the same as "percentage of sum"?

"Fraction of sum" and "percentage of sum" are closely related. The "percentage of sum" is simply the "fraction of sum" multiplied by 100. A fraction represents a part of a whole, while a percentage represents that same proportion out of 100.