calculated error

USAGE SUMMARY

The phrase "calculated error" is correct and usable in written English.
It is typically used in contexts involving mathematics, statistics, or data analysis to refer to the difference between a measured value and the true value that has been determined through calculations. Example: "The calculated error in the experiment was within the acceptable range, indicating that our measurements were accurate."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

23 human-written examples

In the next section we will show the calculated error for the normal Precision and Recall and the calculated error according to chosen loss functions (Eq. 1).

Journal of Big Data

Table 1 shows calculated error for important parameters using Eq. (16).

Journal of Petroleum Exploration and Production Technology

We calculated error between the angular velocities of the force directions, and validated the error.

EURASIP Journal on Audio, Speech, and Music Processing

A 1-dimensional example is given in which the calculated error in energy displays a sharp minimum at the predicted optimal mesh density.

Journal of Computational Physics

(1 An error of up to ±3% is tolerable, while every water sample with a calculated error outside this range has to be re-measured.

Applied Water Science

An error of up to ±3% is tolerable, while every water sample with a calculated error outside this range should be measured again.

Applied Water Science

Human-verified similar examples from authoritative sources

Similar Expressions

37 human-written examples

Still, the whole enterprise has the air not of a great political campaign but of a great political caper a series of pranks and calculated errors.

The New Yorker

The longer the wetting front distance, the smaller the calculated errors.

Geoderma

The Table 3 shows calculated errors for functions suggested (the Tables 1, 2) using the Eqs.

Applied Water Science

When presented with a specific street address, the exact address was georeferenced, and the extent of the street was used to calculate error.

Plosone

Repeat runs were scored blindly and compared to original runs to calculate error rate.

Evolutionary Applications

Expert writing Tips

Best practice

When using "calculated error", clearly specify the method used for calculation to ensure transparency and reproducibility of results. For example, state "the calculated error using the root mean square method".

Common error

Avoid using "calculated error" when you're referring to errors arising from the limitations of measuring instruments or human observation. Use "measurement error" instead. "Calculated error" refers specifically to errors arising during computation or modeling.

Linguistic Context

The phrase "calculated error" functions primarily as a noun phrase, where the adjective "calculated" modifies the noun "error". It denotes an error that has been quantified through a specific calculation method. Examples provided by Ludwig illustrate its use in scientific and technical contexts.

Expression frequency: Common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Academia

0%

Ludwig's WRAP-UP

The phrase "calculated error" is a common and grammatically sound term, primarily used within scientific and technical fields to denote a quantified inaccuracy, as determined by Ludwig. Its purpose is to communicate the extent of deviation from an expected or theoretical value. While "estimated error" is a similar concept, it indicates a more subjective approximation. Using "calculated error" correctly involves specifying the calculation method and differentiating it from "measurement error". The phrase is mostly found in scientific journals, reflecting its formal and technical nature.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

computed inaccuracy

Replaces "error" with "inaccuracy", emphasizing the lack of precision in the calculation.

quantified deviation

Focuses on the measured difference rather than the error itself.

estimated deviation

Highlights that the deviation is approximated rather than precisely calculated.

determined error

Emphasizes the process of finding or establishing the error.

assessed error

Indicates that the error has been evaluated or judged in terms of its significance.

numerical discrepancy

Shifts the focus to a difference in numbers obtained through computation.

mathematical imprecision

Highlights the lack of exactness in the mathematical process leading to the error.

measured uncertainty

Replaces "error" with "uncertainty", emphasizing the range of possible values.

analytical inaccuracy

Focuses on the error stemming from the analytical methods used.

predicted inaccuracy

Highlights that the inaccuracy was anticipated or projected beforehand.

FAQs

How is "calculated error" typically used in scientific writing?

In scientific writing, "calculated error" is used to describe the quantifiable difference between an experimental result and a theoretical prediction, or between two different computational results. It's essential to specify how the "error was calculated" (e.g., standard error, root mean square error) for clarity.

What's the difference between "calculated error" and "estimated error"?

"Calculated error" implies a direct computation of the error based on available data or a model, while "estimated error" suggests an approximation or judgment is involved due to incomplete information or inherent uncertainties. An "estimated error" is an informed guess; a "calculated error" is a result of a formula.

Can "calculated error" be negative?

Yes, "calculated error" can be negative, depending on how it's defined. For instance, if error is defined as (experimental value - theoretical value), a negative value indicates the experimental value is lower than the theoretical one. The sign indicates the "direction of the error".

What are some methods for minimizing "calculated error" in simulations?

To minimize "calculated error" in simulations, you can use higher-order numerical methods, reduce the step size in numerical integration, increase the resolution of the computational grid, and ensure proper convergence of iterative algorithms. Validating the simulation results against experimental data is crucial to "assess the accuracy".