assumption of equality

USAGE SUMMARY

The phrase "assumption of equality" is correct and usable in written English.
It can be used in contexts discussing theories, principles, or frameworks that involve the idea that entities are treated as equal or have equal status. Example: "The assumption of equality is fundamental in many social justice theories, as it underpins the belief that all individuals deserve equal rights and opportunities."

✓ Grammatically correct

Science

News & Media

Academia

Human-verified examples from authoritative sources

Exact Expressions

19 human-written examples

The assumption of equality between the sexes".

The Guardian

Both hygge and the welfare state rely on a state of trust, a feeling of smallness (small nation, small circles of friends), and an assumption of equality.

The Guardian - Lifestyle

Liberalism begins with the assumption of equality: in public transactions, whether before a court or in the marketplace, no person or group should start with inherent advantages or disadvantages.

The Economist

It is known that the assumption of equality of the plastic and elastic components in both equations leads to the so-called compatibility condition and connect the equations theoretically.

International Journal of Fatigue

An assumption of equality of the chemical potential at the phase front leads to a generalized Clausius Clapeyron equation, which then gives the condition for the evolution of the phase front during phase transformation.

Acta Materialia

Looking forward to the possible future research studies, the logical further extension would be the assumption of equality of total potentials as an additional condition of mutual stable equilibrium of the composite system-reservoir.

International Journal of Energy and Environmental Engineering

Human-verified similar examples from authoritative sources

Similar Expressions

41 human-written examples

The assumptions of equality of variances and normal distribution of errors were checked for the tested response variables.

Chemistry Central Journal

The assumptions of equality of variances and normal distribution of errors were checked, and to fit these assumptions, MPa data were transformed in log10 and analyzed by two-way ANOVA followed by Tukey's test.

Applied Adhesion Science

An exploratory data analysis of biochemical and RT-qPCR assays was performed to select the statistical test; the assumptions of equality of variances and normal distribution of errors were also checked.

Plosone

The assumptions of equality of variances and normal distribution of errors were evaluated for each variable.

BMC Oral Health

The assumptions of equality do not hold true if the P value is significant, at which point the proportions indicate the direction of shift.

Cardiovascular Drugs and Therapy

Expert writing Tips

Best practice

When discussing statistical analyses, clearly state if the "assumption of equality" of variances or means has been tested and met. This adds rigor to your methodology.

Common error

Avoid blindly applying statistical tests without verifying whether the "assumption of equality" holds. Always perform appropriate diagnostic tests like Levene's test to validate this assumption.

Linguistic Context

The phrase "assumption of equality" functions as a noun phrase that typically introduces a foundational belief or condition under which a system, model, or argument operates. Ludwig AI confirms that the phrase is usable in English, as seen in the provided examples.

Expression frequency: Uncommon

Frequent in

Science

55%

News & Media

25%

Academia

10%

Less common in

Encyclopedias

5%

Formal & Business

5%

Reference

0%

Ludwig's WRAP-UP

The phrase "assumption of equality" is a noun phrase that functions to introduce a fundamental belief or condition. Commonly used in scientific, academic, and news contexts, it establishes a baseline premise for analysis. Ludwig AI indicates the phrase is grammatically correct and usable, though its frequency is uncommon. Related phrases include "presumption of equality" and "belief in equality". When using this phrase, it's crucial to validate the assumption, especially in statistical contexts. Failing to do so can lead to inaccurate results. Remember that the "assumption of equality" serves as a cornerstone for arguments and models, setting the stage for further investigation.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

presumption of equality

Changes "assumption" to "presumption", emphasizing a belief held until proven otherwise.

supposition of equality

Replaces "assumption" with "supposition", highlighting the tentative nature of the belief.

presupposition of equality

Substitutes "assumption" with "presupposition", indicating a prior condition taken as true.

belief in equality

Shifts from an assumption to a declared belief, showing stronger conviction.

the premise of equality

Focuses on equality as the underlying premise of an argument or system.

acceptance of equality

Focuses on the act of accepting equality as a basis for reasoning.

equality as a given

Rephrases to focus on equality being a foundational premise.

equality as a starting point

Illustrates equality as the initial foundation for further considerations.

taking equality for granted

Emphasizes the unquestioned nature of equality in a given context.

equality by default

Highlights that equality is considered the standard state unless proven otherwise.

FAQs

How can I use "assumption of equality" in a sentence?

The phrase "assumption of equality" typically introduces a condition or belief that things are equal unless demonstrated otherwise. For example, "The model operates under the "assumption of equality" between the two groups".

What does the "assumption of equality" mean in statistical testing?

In statistical tests, the "assumption of equality" often refers to the assumption that the variances or means of different groups are equal. Violating this assumption can lead to inaccurate results, necessitating alternative tests.

What are some alternatives to "assumption of equality"?

You can use alternatives like "presumption of equality", "belief in equality", or "supposition of equality" depending on the nuance you want to convey.

Why is it important to check the "assumption of equality" in ANOVA?

In ANOVA, the "assumption of equality" of variances (homoscedasticity) is crucial. If this assumption is violated, it can inflate the Type I error rate. Tests like Levene's test are used to verify this assumption.