a violation of normality

USAGE SUMMARY

The phrase "a violation of normality" is correct and usable in written English.
It can be used in contexts discussing deviations from expected behavior, standards, or norms. Example: "The sudden change in the company's policy was seen as a violation of normality by the employees, leading to confusion and unrest."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

2 human-written examples

The distribution of the data is assumed to be normally distributed and a violation of normality can impact coverage.

BMC Medical Research Methodology

A nonparametric test was used because of a violation of normality in these latency data.

Behavioral Neuroscience

Human-verified similar examples from authoritative sources

Similar Expressions

58 human-written examples

(Nonparametric tests were used because of a violation of data normality).

Behavioral Neuroscience

In this situation, these students will consistently score lower than the model predicts, because there is a violation of the normality assumption.

CBE Life Sciences Education

In practice, the observed variables may often reveal some significant p-values for both kurtosis and skewness, in both univariate and multivariate normality tests, which could suggest a potential violation of normality.

International Journal of STEM Education

Items with absolute values of skewness (Sk) and kurtosis (Ku) greater than 3 and 7, respectively [ 26], were considered to present a severe violation of normality.

Health and Quality of Life Outcomes

The Kolmogorov-Smirnov test indicated statistical significance (p < 0.001), suggesting a violation of the assumption of normality.

International Journal of Child Care and Education Policy

The Kolmogorov-Smirnov statistics showed significance for both the non-indigenous and Aboriginal samples (p < 0.05), suggesting a violation of the assumption of normality.

International Journal of Child Care and Education Policy

The Kolmogorov-Smirnov statistics showed significance for the non-indigenous sample (p < 0.001), indicating a violation of the assumption of normality.

International Journal of Child Care and Education Policy

The gamma distribution is intuitively a more serious violation of normality than the uniform distribution.

BMC Medical Research Methodology

To control for any violations of normality, multiple testing, or the possible disruption of the asymptotic distribution of the chi-squared test statistic by idiosyncrasies of the study (due to factors such as multiple QTL per chromosome or distorted segregation ratios), QTL peak significance was assessed by 1000 permutations [49].

Plosone

Expert writing Tips

Best practice

When discussing statistical assumptions, ensure you clearly define what "normality" means in your specific context. This helps avoid ambiguity.

Common error

Don't assume that every "violation of normality" invalidates your statistical analysis. Many tests are robust to minor deviations, so check the severity and consider alternatives if necessary.

Linguistic Context

The phrase "a violation of normality" functions as a noun phrase, often serving as the subject or object of a sentence. It describes a condition where data or observations do not conform to a normal distribution, as seen in Ludwig's examples related to statistical testing.

Expression frequency: Rare

Frequent in

Science

67%

News & Media

33%

Formal & Business

0%

Less common in

Academia

0%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

The phrase "a violation of normality" is a formal expression predominantly used in scientific and academic contexts to describe the failure of data to meet the assumption of normal distribution, as shown by Ludwig. While grammatically correct, the phrase is relatively rare. When encountered, it signals the need for careful consideration of statistical methods, potentially requiring data transformation or the use of non-parametric tests. While Ludwig AI confirms its usability, it's important to avoid overgeneralizing the impact of non-normality, as many statistical tests exhibit robustness against minor deviations. Always define "normality" and assess the severity of any violations to ensure appropriate analytical strategies are employed.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

deviation from the norm

Focuses on the departure from what is considered standard or typical.

departure from expected behavior

Emphasizes the divergence from anticipated actions or conduct.

breach of standard practice

Highlights the infringement of established procedures or customs.

irregularity in distribution

Refers to the uneven or anomalous arrangement of data or elements.

non-conformity to established rules

Stresses the failure to adhere to defined regulations or guidelines.

aberration from typical pattern

Indicates a divergence from the usual or characteristic arrangement.

infringement of common standards

Highlights the act of overstepping general conventions or benchmarks.

anomalous occurrence

Refers to an event or instance that deviates from what is normal or expected.

divergence from the average

Focuses on the variance from the central tendency or mean value.

non-compliance with usual expectations

Emphasizes the failure to meet typical anticipations or norms.

FAQs

How do you test for "a violation of normality" in data?

Common methods include visual inspection using histograms and Q-Q plots, and statistical tests such as the Shapiro-Wilk test or Kolmogorov-Smirnov test. The choice depends on the sample size and the type of data.

What are the consequences of "a violation of normality" in statistical tests?

It can affect the validity of parametric tests, leading to inaccurate p-values and confidence intervals. Non-parametric tests or data transformations might be more appropriate.

When is it acceptable to proceed with parametric tests despite "a violation of normality"?

Parametric tests can be robust to mild violations, especially with large sample sizes. However, it's crucial to assess the severity of the violation and consider the potential impact on the results. Consult statistical resources for guidance.

What are some alternative phrases for "a violation of normality"?

You can use alternatives like "deviation from the norm", "departure from expected behavior", or "irregularity in distribution" depending on the context.