equality of means

USAGE SUMMARY

The phrase "equality of means" is correct and usable in written English.
It can be used in discussions about fairness, resource distribution, or statistical analysis where the focus is on equalizing the resources or methods used. Example: "The study aimed to achieve equality of means among the different groups to ensure valid comparisons."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

In calculating two-tailed significance levels for equality of means, equal variances were assumed for the two populations.

Plosone

If variances were equal, ANOVA was performed to test the equality of means.

Experimental Eye Research

If the assumption of equal variances was violated, the Welch test of robust test of equality of means was used.

BMC Health Services Research

Table 2 Equality of means tests.

Chemistry Central Journal

Data were analyzed by t-test for equality of means.

Surgery

For this reason, Welch's robust test for the equality of means was conducted.

Chemistry Central Journal

Table 1 Descriptive Equality of means testscontent (μg g-1 dry weight) in Marche honey samples.

Chemistry Central Journal

Hotelling's T2 procedure is used to test the equality of means in two-group multivariate designs when covariances are homogeneous.

Computer Methods and Programs in Biomedicine

Table 6 Independent samples t-test (gender)   Levene's test t-test for equality of means Supported hypothesis   Levene's test t-test for equality of means Supported hypothesis F Sig. t Sig.

Human-centric Computing and Information Sciences

Table 5 Independent samples test (culture)   Levene's test t-test for equality of means Supported hypothesis   Levene's test t-test for equality of means Supported hypothesis F Sig. t Sig.

Human-centric Computing and Information Sciences

However, tests on the equality of means for these characteristics are all insignificant on a 5% confidence level.

Journal for Labour Market Research

Expert writing Tips

Best practice

When reporting results related to "equality of means", always specify the statistical test used (e.g. t-test, ANOVA) and the associated p-value to indicate the level of statistical significance.

Common error

Avoid assuming that demonstrating "equality of means" implies identical distributions or negligible differences. Statistical tests only assess whether observed differences are likely due to chance, not whether the means are truly identical in a practical sense.

Linguistic Context

The phrase "equality of means" primarily functions as a noun phrase. Ludwig indicates that this phrase is grammatically correct and commonly used in academic and scientific writing. It represents a statistical concept referring to the state where the average values of two or more groups are the same.

Expression frequency: Very common

Frequent in

Science

98%

Formal & Business

1%

News & Media

1%

Less common in

Academia

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, "equality of means" is a frequently used and grammatically correct noun phrase primarily found in scientific and academic contexts. As Ludwig confirms, it describes the statistical concept where the average values of two or more groups are the same. This phrase is essential when discussing statistical hypotheses and tests, such as t-tests and ANOVA, used to determine if population means are significantly different. When using "equality of means", ensure you specify the groups being compared and the statistical tests employed, while avoiding the common mistake of assuming that non-significant results prove true equality.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

equal means

This is a shorter version of the original phrase, omitting "of" for brevity.

equality of average values

Replaces "means" with "average values" for a less technical phrasing.

equivalence of averages

This alternative uses "averages" instead of "means" to refer to the same statistical measure and employs "equivalence" in place of "equality".

homogeneity of means

This phrase emphasizes the uniformity or consistency across the means of different groups.

statistical equivalence of means

Adds "statistical equivalence" to explicitly state that the equality is being evaluated in a statistical context.

similarity of means

Instead of exact equality, focuses on how similar the averages are.

sameness of means

Replaces "equality" with "sameness" to emphasize the identical nature of the averages.

comparison of means

This phrase shifts the focus to the act of comparing rather than asserting equality.

testing for equal means

Highlights the process of statistical testing to determine if means are equal.

mean difference analysis

Focuses on analyzing the difference between means rather than assessing their equality.

FAQs

How is "equality of means" used in statistical testing?

In statistical testing, "equality of means" is often the null hypothesis being tested. Tests like t-tests or ANOVA are used to determine if there is sufficient evidence to reject the assumption that the population means are equal. A statistically significant result suggests the means are likely different.

What does it mean when a test for "equality of means" is not significant?

If a test for "equality of means" fails to reach statistical significance, it means there isn't enough evidence to conclude that the population means are different. This doesn't necessarily mean the means are equal; it could simply indicate a lack of power or large variability in the data.

What are some tests used to assess "equality of means"?

Common tests include the t-test (for two groups), ANOVA (for more than two groups), and non-parametric alternatives like the Mann-Whitney U test or Kruskal-Wallis test when data doesn't meet the assumptions of parametric tests. Welch's t-test is used when variances are unequal.

Is "equality of means" the same as /s/equality+of+variances?

"Equality of means" refers to whether the average values of two or more groups are the same. /s/equality+of+variances, on the other hand, concerns whether the spread or dispersion of data in different groups is the same. These are distinct concepts, although some statistical tests assume equal variances when testing for "equality of means".