Used and loved by millions
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com
estimate by which
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "estimate by which" is correct and usable in written English.
It can be used when referring to a specific estimation or calculation that indicates a difference or change in a particular context. Example: "The estimate by which the project costs increased was surprising to the stakeholders."
✓ Grammatically correct
Science
News & Media
Formal & Business
Alternative expressions(3)
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Human-verified examples from authoritative sources
Exact Expressions
1 human-written examples
This gives policy makers an estimate by which to compare the costs and effects of intervention activities.
Science
Human-verified similar examples from authoritative sources
Similar Expressions
58 human-written examples
However, finite-time convergence to a global optimum is typically not guaranteed (see e.g. [ 18]), and within a fixed time limit one might find only unsatisfying estimates, by which the model alternatives cannot be discriminated, or no estimate at all.
Science
A repeat cross-sectional survey, with the same target population and sampling frame, is the most appropriate and straightforward design for providing a series of survey estimates by which changes in a population can be monitored over periods of time [ 17].
Science
Now we discuss different ways to compute f j, the estimated date by which part j will be finished.
Let f j be the estimated date by which part j will be finished (repaired and ready to leave the group).
It was due to be completed in May 2015, but the IPCC have now told the family that they cannot even estimate a date by which is will be finished, let alone seen by the family.
News & Media
The NPRs estimate the percentage by which domestic prices of agricultural products differ from the border prices for those same products.
Formal & Business
It estimates the factor by which the live load component needs to be amplified so that a structural crisis, which takes the form of plastic collapse, occurs.
Despite the dearth of data, CDC emergency response staff were charged with estimating a measure by which drinking water could be screened for safety.
This estimates the factor by which the Clinical Face Phenotype Space improves the clustering of syndromes when compared with random chance (to 95% confidence).
Science
A conversion or scaling factor was estimated as 0.7, by which the CRFs of outdoor air were divided to convert them to the required ERF [ 22].
Expert writing Tips
Best practice
When using "estimate by which", ensure the context clearly indicates what is being estimated and what it is being compared to. This will improve clarity and avoid ambiguity.
Common error
A common error is to use "estimate by which" without clearly specifying the baseline or reference point for the comparison. Always ensure the comparison is explicit to avoid confusion.
Source & Trust
82%
Authority and reliability
4.1/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "estimate by which" functions as a prepositional phrase, typically used to specify the extent or degree of an estimation. It quantifies the difference or change identified in an assessment. Ludwig provides examples where this phrase introduces a comparative aspect.
Frequent in
Science
35%
News & Media
33%
Formal & Business
32%
Less common in
Encyclopedias
0%
Wiki
0%
Reference
0%
Ludwig's WRAP-UP
In summary, "estimate by which" is a phrase used to quantify a degree of change or difference that's found through estimation. Ludwig AI confirms that it's grammatically correct but relatively rare. It's most common in scientific and formal contexts, where precision in quantifying estimations is crucial. When using this phrase, ensure clarity regarding what is being estimated and the reference point for comparison, as ambiguity can easily arise. Consider alternatives like "estimation of difference" or "assessment of variation" for broader applications.
More alternative expressions(10)
Phrases that express similar concepts, ordered by semantic similarity:
estimation of difference
This alternative focuses on the difference that is being estimated, simplifying the original phrase.
assessment of variation
This alternative shifts the focus to assessing the variation, implying a comparison or range.
calculation of disparity
This phrase emphasizes the calculation of a disparity or inequality, rather than a general estimation.
determination of deviation
This highlights the act of determining how much something deviates from a standard or norm.
quantification of change
This alternative emphasizes quantifying the amount of change or difference observed.
evaluation of magnitude
This phrase focuses on evaluating the size or extent of something, often in comparison to something else.
approximation of extent
This alternative suggests an approximate measure of the scope or range.
measure of divergence
This highlights the measurement of how much things diverge or differ from each other.
margin of error estimate
This focuses specifically on the margin of error associated with an estimate.
predicted difference
This phrase refers to a difference that is predicted or forecasted.
FAQs
How can I use "estimate by which" in a sentence?
Use "estimate by which" to indicate the amount or degree something is expected to change or differ. For example, "The "estimate by which project costs increased" was surprising".
What are some alternatives to "estimate by which"?
Alternatives include "estimation of difference", "assessment of variation", or "calculation of disparity", depending on the specific context.
Is it better to use "estimate by which" or "estimation of"?
Both phrases are grammatically correct, but "estimation of" is generally more common and versatile. "Estimate by which" is more specific, implying a direct comparison or change.
When is "estimate by which" most appropriate to use?
"Estimate by which" is suitable when you want to emphasize the amount of change or difference that an estimate represents, particularly when comparing two values or scenarios.
Editing plus AI, all in one place.
Stop switching between tools. Your AI writing partner for everything—polishing proposals, crafting emails, finding the right tone.
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
82%
Authority and reliability
4.1/5
Expert rating
Real-world application tested