probability level

USAGE SUMMARY

The phrase "probability level" is correct and usable in written English.
It can be used in contexts related to statistics, research, or any field that involves assessing the likelihood of an event or outcome. Example: "The results of the experiment were significant at a 0.05 probability level, indicating a strong likelihood that the observed effects were not due to chance."

✓ Grammatically correct

Science

Formal & Business

News & Media

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

The 0.05 probability level was used to detect significant differences.

Nature

Consider a firm with a daily VaR of $100 million at the 1% probability level.

Harvard Business Review

The Pearson correlation coefficient and its probability level (when P < 0.05) are indicated.

Nature

VaR essentially measures the maximum amount of money you might lose at a given probability level.

Harvard Business Review

Such a probability level is difficult to assess efficiently.

Reliability Engineering & System Safety

probability level.

Bioresources and Bioprocessing

*Significant at the 0.05 probability level.

Chemical and Biological Technologies in Agriculture

*represent significance at the 0.05 probability level.

Ecological Processes

**denotes significant at the 5%% probability level.

Journal of Global Entrepreneurship Research

A probability level of <5% was regarded as significant.

The Journal of Headache and Pain

a) Displacement ellipsoids are drawn at the 50% probability level.

Chemistry Central Journal

Expert writing Tips

Best practice

When reporting statistical results, clearly state the "probability level" used to determine significance (e.g. p < 0.05) to ensure transparency and reproducibility.

Common error

Don't assume that a statistically significant "probability level" indicates a large or meaningful effect. A small p-value simply suggests that the observed result is unlikely to be due to chance, not necessarily that the effect is substantial or practically important.

Linguistic Context

The phrase "probability level" functions as a noun phrase that specifies a threshold or criterion for statistical significance. It is commonly used in research papers and reports to define the acceptable risk of error, as shown in Ludwig's examples.

Expression frequency: Very common

Frequent in

Science

84%

Formal & Business

7%

News & Media

5%

Less common in

Academia

4%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, "probability level" is a noun phrase denoting the threshold for statistical significance, most commonly used in scientific and formal contexts. As Ludwig AI confirms, the phrase is grammatically sound and frequently employed in research. It's important to choose the appropriate level (e.g. 0.05) and understand its implications for interpreting research findings. Related terms include "significance level" and "alpha level". When writing, ensure you're not confusing the "probability level" with the effect size, as statistical significance does not always equate to practical importance.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

significance level

Focuses on the statistical significance of a result, indicating the threshold for rejecting the null hypothesis.

confidence level

Refers to the degree of certainty that a result is accurate or reliable.

level of significance

Reorders the original phrase while retaining the same meaning.

likelihood threshold

Emphasizes the boundary at which an event is considered probable enough to warrant attention.

alpha level

Specifically used in hypothesis testing to denote the probability of making a Type I error.

p-value threshold

Highlights the p-value as the measure compared against a predetermined level to determine statistical significance.

statistical significance threshold

Broadly describes the cut-off point for determining if a result is statistically meaningful.

acceptable risk level

Shifts the focus to risk management, indicating the degree of risk deemed tolerable.

critical value

In statistical testing, the value beyond which the null hypothesis is rejected.

margin of error

Specifies the degree of error tolerated in a statistical estimate or prediction.

FAQs

How is "probability level" used in research?

In research, the "probability level" typically refers to the alpha level (α), which is the threshold for determining statistical significance. A common alpha level is 0.05, meaning there's a 5% risk of concluding there's an effect when none exists.

What is an alternative to saying "probability level"?

Depending on the context, you could use "significance level", "alpha level", or "confidence level" as alternatives to "probability level".

How does the "probability level" relate to p-value?

The "probability level", often denoted as alpha (α), is compared to the p-value. If the p-value is less than or equal to the alpha level, the result is considered statistically significant. The p-value represents the probability of obtaining results as extreme as, or more extreme than, the observed results, assuming the null hypothesis is correct.

What does it mean if a result is significant at a 0.01 "probability level"?

A result significant at the 0.01 "probability level" indicates that there is only a 1% chance that the observed results are due to random chance. This is a stricter criterion than the more common 0.05 level, suggesting stronger evidence against the null hypothesis.