establish equivalence

USAGE SUMMARY

"establish equivalence" is correct and usable in written English. You can use it in contexts where you are discussing the process of demonstrating that two things are equal or comparable in some way. For example: "The study aims to establish equivalence between the two methods of analysis." Alternative expressions include "determine equivalence" and "confirm equivalence."

✓ Grammatically correct

Science

Formal & Business

Human-verified examples from authoritative sources

Exact Expressions

14 human-written examples

The main idea behind this technique is to establish equivalence between the variational inequalities and the fixed point problem, using the concept of projection.

Journal of Inequalities and Applications

The aim of the present paper is to test whether placebo has indeed helped establish equivalence of effect in comparative trials of new antidepressants.

European Psychiatry

The present paper considers whether one can extend such relationships to establish equivalence between certain non-equilibrium thermodynamic properties, such as transported entropies, and equilibrium thermodynamic properties, such as partial molar entropies.

Electrochimica Acta

The adjusted Wald interval for difference of proportions with matched pairs [20] was used to establish equivalence based on the 95% confidence interval (CI) between the difference in response rates being contained in the −15% and 15% interval.

Plosone

Nevertheless, it should be noted that the lower limit of the confidence interval is only around 70% versus the greater than 90% in the fully vaccinated; this study is too small to establish equivalence of protection.

Plosone

Randomized controlled trials (RCTs) are recommended, designed to establish "equivalence" to the reference product.

Diabetes Technology and Therapeutics

Human-verified similar examples from authoritative sources

Similar Expressions

46 human-written examples

The properties establish equivalences among STCCs, so that many convolutional codes can be discarded in the code search without loosing anything.

EURASIP Journal on Wireless Communications and Networking

Inspired by the work of Jachymski, we also establish equivalences of certain auxiliary maps in the context of GP-complete GP-metric spaces.

Journal of Inequalities and Applications

In fact, we also establish equivalences between the algebraic amenability of the translation algebra and the amenability of the underlying metric space (see Theorem 6.3), and the analogous equivalence for proper amenability (see Theorem 6.4).

Bulletin of Mathematical Sciences

However, the PINALOG alignment aims to establish equivalences based on function and interactions not just those from sequence.

Bioinformatics

Now, let be a bijective affine map that establishes equivalence between and.

Complex Analysis and its Synergies

Expert writing Tips

Best practice

When writing about research, specify the statistical methods used to "establish equivalence", such as confidence intervals or non-inferiority margins.

Common error

Avoid assuming that a lack of statistically significant difference automatically "establishes equivalence". Equivalence testing requires specific methods and predefined margins to demonstrate that differences are practically insignificant.

Linguistic Context

The phrase "establish equivalence" functions as a verb phrase, typically used to describe the action of demonstrating or proving that two or more entities, methods, or results are effectively equal or comparable within a defined margin. Ludwig AI confirms its correct and usable form.

Expression frequency: Common

Frequent in

Science

85%

Formal & Business

10%

News & Media

5%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, "establish equivalence" is a grammatically sound and commonly used phrase, primarily within scientific and formal contexts. Its purpose is to demonstrate that two or more entities are comparable, often with statistical rigor. Ludwig AI confirms this. When using this phrase, it's important to avoid the common error of equating non-significance with true equivalence, and to use appropriate statistical methods. Consider alternatives like "demonstrate equality" or "prove comparability" for nuanced meanings.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

establish equality

Focuses on setting up a condition where two things are equal.

demonstrate equality

Focuses specifically on showing that two things are equal.

ascertain equivalence

Uses a more formal verb to indicate finding out or making sure of equivalence.

prove comparability

Emphasizes the act of proving that two things can be compared effectively.

validate comparability

Highlights the validation process in showing that two things are comparable.

confirm parity

Suggests a confirmation of an existing or expected equality.

show correspondence

Indicates displaying a relationship or similarity, less strong than equivalence.

demonstrate congruence

Focuses on a very specific form of equivalence, often in geometric or mathematical contexts.

determine correlation

Implies identifying a relationship or correspondence, which is a weaker form of equivalence.

establish a balance

Implies creating a state of equilibrium or evenness between two things.

FAQs

How can I use "establish equivalence" in a sentence?

You can use "establish equivalence" to describe the process of demonstrating that two things are equal or comparable. For example: "The study aims to "establish equivalence" between the new drug and the existing treatment."

What are some alternatives to "establish equivalence"?

Alternatives include "demonstrate equality", "prove comparability", or "confirm parity", depending on the specific context.

Is it enough to show no significant difference to "establish equivalence"?

No, simply failing to find a statistically significant difference is not the same as "establishing equivalence". Equivalence testing requires specific statistical methods and predefined equivalence margins. Standard hypothesis testing for difference does not "establish equivalence".

What's the difference between "establish equality" and "establish equivalence"?

"Establish equality" focuses on demonstrating that two things are exactly the same, while "establish equivalence" allows for a range within which two things are considered practically the same. "Establish equality" is stricter and might be appropriate when precision is key.