at a probability level

USAGE SUMMARY

The phrase "at a probability level" is correct and usable in written English.
It can be used when discussing statistical significance or the likelihood of an event occurring within a specific context. Example: "The results were significant at a probability level of 0.05, indicating a strong likelihood that the findings were not due to chance."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

24 human-written examples

Statistical significance for all tests was judged at a probability level of 0.05.

Nanoscale Research Letters

Significant differences were judged at a probability level of P < 0.05 (Zar 1999).

International Aquatic Research

All comparisons were made at a probability level of 95% (p ≤ 0.05).

Botanical Studies

As one main type of CCP, the ICP only requires each constraint to be satisfied at a probability level.

Environmental Systems Research

Significant differences were judged at a probability level of p ≤ 0.05 for ANOVA, t test and Tukey tests (Zar 2010).

International Aquatic Research

Significant differences between means were compared using Fisher's least-significant difference (LSD) test at a probability level of 95% (P ≤ 0.05).

International Journal of Recycling of Organic Waste in Agriculture

Human-verified similar examples from authoritative sources

Similar Expressions

36 human-written examples

The differences among all the treatment means were evaluated by Duncan's multiple range tests at a 0.01 probability level using a SPSS program (SPSS Inc. Chicago, IL, USA).

BMC Genomics

Using historical and expert opinion, GSHAP developed a dataset of peak ground acceleration (pga) values to be exceeded in a 50-year period at a 10percentt probability level, or once every 500 years.

Columbia University

Where these are not available, Martz and Waller (1982, p. 270) provided a formula for calculating the mean and variance of a truncated beta distribution at a chosen probability level (e.g. 99%).

New Zealand Journal of Forestry Science

Statistical significance was accepted at a 5%% probability level, i.e. a p-value of less than 0.05.

BMC Pediatrics

(a) average ± standard deviation; ** represents statistical significance at a 0.01 probability level.

BMC Genomics

Expert writing Tips

Best practice

When using "at a probability level", always specify the level (e.g., 0.05) to provide a clear understanding of the statistical threshold.

Common error

Avoid using "at a probability level" without clearly stating the specific probability value. For example, instead of saying "significant at a probability level", specify "significant at a probability level of p < 0.05".

Linguistic Context

The phrase "at a probability level" functions as a prepositional phrase, modifying verbs or nouns to specify the statistical threshold for significance or the likelihood of an event. Ludwig examples show its use in setting significance for statistical tests.

Expression frequency: Uncommon

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Encyclopedias

0%

Ludwig's WRAP-UP

The phrase "at a probability level" is a grammatically correct and acceptable phrase, as validated by Ludwig AI. Its primary function is to specify the threshold for statistical significance, mainly within formal and scientific contexts. While uncommon in everyday language, it is essential for conveying precision in research reporting. Ludwig examples emphasize its association with scientific studies, where a clear articulation of statistical thresholds is important.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

at a significance level

Highlights the statistical significance rather than the raw probability.

with a certain likelihood

Replaces "probability level" with a more general term for likelihood.

with a degree of confidence

Emphasizes the confidence associated with the probability.

given a level of certainty

Uses 'certainty' as a substitute for 'probability'.

within a confidence interval

Focuses on the range within which the true value is likely to fall.

subject to a probability threshold

Implies a cutoff point based on probability.

under probabilistic constraints

Emphasizes the constraints imposed by the probability.

at a risk level of

Frames the probability in terms of risk assessment.

to a statistically significant extent

Focuses on the statistical relevance of the finding.

with a margin of error

Indicates the potential range of deviation from the reported value.

FAQs

How is "at a probability level" used in scientific research?

In scientific research, "at a probability level" specifies the threshold for statistical significance. A result is often deemed significant if it occurs "at a probability level" of 0.05 or less, meaning there's a 5% chance the result is due to random variation.

What does it mean when results are "significant at a probability level of 0.01"?

When results are significant "at a probability level" of 0.01, it indicates a 1% chance that the observed effect is due to random chance. This is a higher level of significance than 0.05, suggesting stronger evidence against the null hypothesis.

Can I use the phrase "at a significance level" instead of "at a probability level"?

Yes, "at a significance level" is often used interchangeably with "at a probability level", particularly in statistical contexts. Both refer to the threshold for determining statistical significance.

What are common statistical tests used to determine if results are significant "at a probability level"?

Common tests include t-tests, ANOVA, and chi-squared tests. These tests generate a p-value, which is then compared to the predetermined probability level (e.g., 0.05) to assess significance. If p-value is <= alpha level (or significance level), we reject the null hypothesis.