derived from a binomial distribution

USAGE SUMMARY

The phrase "derived from a binomial distribution" is correct and usable in written English.
It can be used in statistical contexts when discussing probabilities or outcomes that follow a binomial distribution model. Example: "The results of the experiment were found to be derived from a binomial distribution, indicating a clear success-failure outcome."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

4 human-written examples

Accordingly, the confidence intervals of the proportion have also been derived from a binomial distribution using exact or approximate methods [6], [14], [15].

Plosone

This equation should be number 2. g) page 6, 1st paragraph, equation (2) : This equation appears derived from a binomial distribution.

Biology Direct

p = 0.05 levels for the percentages of HD cells were derived from a binomial distribution, based on the number of units recorded and assuming a false-positive HD classification rate of 5%.

Current Biology

Although seven of the 76 (9.21%) patients showed significantly different scores on the two subsets, the 95% confidence intervals around this estimate, derived from a binomial distribution, included five percent (CI: 4% to 14%), indicating that the unidimensionality of the scale was supported.

Health and Quality of Life Outcomes

Human-verified similar examples from authoritative sources

Similar Expressions

56 human-written examples

The new model variable is included in a polynomial model with memory whose nonlinear structure is derived from a binomial power series, whence the name of Memory Binomial Model (MBM).

Microprocessors and Microsystems

Seroprevalence estimates and 95% confidence intervals (CI) were derived assuming a binomial distribution for the number of seropositive individuals from the total numbers of tested individuals.

BMC Infectious Diseases

An exact 95% confidence interval (CI) for each proportion was derived assuming a binomial distribution.

British Journal of Cancer

We then derive a binomial distribution of dwell times to describe the stochastic dynamics of protein unfolding.

Biophysical Journal

This is slightly more conservative than the adjusted threshold derived from the binomial distribution (70.9%).

Plosone

Single-proportion CIs were derived from the binomial distribution with continuity correction.

Emerging Infectious Diseases

Inferences drawn from this random sample regarding the composition of the complete source population (that is, all children discharged from this hospital) were expressed as 95% confidence intervals of the sample proportions, derived from the binomial distribution.

BMC Pediatrics

Expert writing Tips

Best practice

When describing statistical analyses, use "derived from a binomial distribution" to clearly indicate that the results or calculations are based on this specific probability distribution.

Common error

Avoid using "derived from a binomial distribution" if the underlying data does not meet the assumptions of a binomial distribution, such as independent trials and a constant probability of success. Ensure the binomial model is appropriate for your data.

Linguistic Context

The phrase "derived from a binomial distribution" functions as a descriptor, specifying the statistical origin or methodology used to obtain a particular result or value. It indicates that the result is rooted in the principles of binomial probability, which Ludwig AI confirms is standard English.

Expression frequency: Uncommon

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Academia

0%

Ludwig's WRAP-UP

The phrase "derived from a binomial distribution" is a statistically precise term used to indicate that a result or calculation originates from the principles of binomial probability. According to Ludwig AI, the phrase is used correctly in various scientific publications. It is grammatically sound and serves the purpose of clarifying the methodology behind statistical analyses. Given its technical nature, the phrase is primarily found in formal and scientific contexts. When using the phrase, ensure that the underlying data aligns with the assumptions of a binomial distribution to maintain statistical validity.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

based on a binomial distribution

This alternative replaces "derived from" with "based on", indicating a foundation or origin in the binomial distribution.

obtained from a binomial distribution

This alternative uses "obtained from" instead of "derived from", suggesting the binomial distribution is the source of the result.

calculated using a binomial distribution

This alternative emphasizes the calculation aspect, indicating the binomial distribution is used in the calculation process.

modeled by a binomial distribution

This alternative frames the binomial distribution as a model for the data.

follows a binomial distribution

This alternative simplifies the language, directly stating the data adheres to a binomial distribution.

comes from a binomial distribution

This suggests the result's origin is in the binomial distribution.

stemming from a binomial distribution

This alternative implies a cause-and-effect relationship with the binomial distribution.

arising from a binomial distribution

Similar to stemming, suggesting that the result originated or emerged from the binomial distribution.

rooted in a binomial distribution

This highlights the deep connection and fundamental relationship with the binomial distribution.

predicted by a binomial distribution

This highlights the predictive power of the binomial distribution in determining outcomes.

FAQs

How do you use "derived from a binomial distribution" in a sentence?

You can use "derived from a binomial distribution" to describe how certain statistical values or conclusions were obtained. For example: "The confidence intervals were "derived from a binomial distribution" using exact methods."

What does it mean for something to be "derived from a binomial distribution"?

It means that a statistical result, such as a p-value or confidence interval, was calculated or modeled using the principles and formulas associated with the binomial distribution, which is appropriate for binary outcomes (success/failure) in a series of independent trials.

What are some alternatives to saying "derived from a binomial distribution"?

Alternatives include "based on a binomial distribution", "calculated using a binomial distribution", or "modeled by a binomial distribution", depending on the nuance you want to convey.

When is it appropriate to say something is "derived from a binomial distribution"?

It is appropriate when you have a series of independent trials with a binary outcome (success or failure), and you are calculating probabilities, confidence intervals, or making inferences based on that data using the formulas and principles of the binomial distribution.