based on a binomial

USAGE SUMMARY

The phrase "based on a binomial" is correct and usable in written English.
It can be used in contexts related to mathematics, statistics, or probability, where a binomial distribution or concept is being referenced. Example: "The results of the experiment were analyzed based on a binomial model to determine the likelihood of success."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

48 human-written examples

Therefore, statistically, averaged spray volume and standard deviation are based on a binomial distribution.

IFAC Proceedings Volumes

features and therefore we can calculate false acceptance rate (FAR) and false rejection rate (FRR) based on a binomial distribution.

EURASIP Journal on Advances in Signal Processing

The calculation of the expected cumulated fliprate for each series rank r is based on a binomial distribution function.

Business Research

Overall and site-specific recurrence rates per person-year were pooled using generalized linear random/mixed-effects meta-analysis models and an exact likelihood approach based on a binomial and Poisson distribution.

Transplantation Reviews

The calculation of the expected cumulated fliprate for each series rank r is based on a binomial distribution function, as only two events (change of direction: yes or no) are of relevance: f(X_{r} = k;n) = left( {begin{array}{*{20}c} n k end{array} } right)p^{k} q^{n - k}. for the random variable X at series rank r; event class k and number of acquisitions n.

Business Research

P-values were calculated based on a binomial probability distribution.

Plosone

Human-verified similar examples from authoritative sources

Similar Expressions

12 human-written examples

Breeding success in brackets is the fitted probability of producing a brood, based on a negative binomial distribution for F0 and a binomial probability distribution for F1.

BMC Evolutionary Biology

This method was based on a negative binomial distribution model; the read count of gene i in the sample of j was designated Kij.

Botanical Studies

By adapting a model based on a negative binomial offspring distribution that permits a variable degree of transmission heterogeneity, we present a unified analysis of existing R0 estimation methods.

Epidemics

Firstly, the expected proportion of infected captured individuals is taken as a function of risk factors plus a random term based on a centered binomial distribution.

Plosone

Four candidate models were fitted using regression models based on a negative binomial distribution.

BMC Genomics

Expert writing Tips

Best practice

When using "based on a binomial", clearly define the parameters and assumptions of the binomial distribution to ensure accurate interpretation and application.

Common error

Avoid assuming that because a model is "based on a binomial" distribution, the underlying events are necessarily independent or have equal probabilities of success. Carefully validate these assumptions.

Linguistic Context

The phrase "based on a binomial" functions as a prepositional phrase that typically modifies a noun or verb, indicating the foundation or methodology employed in a calculation, analysis, or model. According to Ludwig AI, this phrase is used when models are derived from the principles of binomial distribution.

Expression frequency: Very common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Encyclopedias

0%

Ludwig's WRAP-UP

In summary, the phrase "based on a binomial" is a prepositional phrase primarily used in scientific and statistical contexts to denote that a particular analysis, model, or calculation is derived from the principles of a binomial distribution. Ludwig AI analysis of numerous examples confirms its prevalence in scientific literature. When employing this phrase, ensure the underlying assumptions of a binomial distribution are valid and clearly defined. Alternatives such as "using a binomial basis" or "grounded in a binomial" can offer slight variations in emphasis.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

using a binomial basis

Replaces "based on" with "using" and "binomial" with "binomial basis", implying a foundation.

grounded in a binomial

Substitutes "based on" with "grounded in", suggesting a foundational relationship within binomial concepts.

according to a binomial

Replaces "based on" with "according to", indicating alignment with binomial principles.

derived from a binomial

Changes "based on" to "derived from", highlighting the origin of the concept.

predicated on a binomial

Substitutes "based on" with "predicated on", implying an assumption on binomial distribution.

drawing from a binomial

Replaces "based on" with "drawing from", indicating the origin of the argument is rooted in a binomial equation.

informed by a binomial

Changes "based on" to "informed by", meaning it's influenced by binomial theorems.

stemming from a binomial

Substitutes "based on" with "stemming from", meaning originating from a binomial.

founded on a binomial

Replaces "based on" with "founded on", highlighting a core relationship with binomial distribution.

relying on a binomial

Changes "based on" to "relying on", highlighting that it's dependent on binomial math.

FAQs

How is the phrase "based on a binomial" used in statistical analysis?

In statistical analysis, "based on a binomial" typically indicates that calculations, inferences, or models are "derived from" the principles of a binomial distribution, such as in hypothesis testing or confidence interval estimation.

What are some alternatives to saying "based on a binomial"?

Alternatives include "using a binomial basis", "grounded in a binomial", or "according to a binomial", depending on the nuance you wish to convey.

In what contexts is it appropriate to use the phrase "based on a binomial"?

It is appropriate to use "based on a binomial" in contexts where you are describing or explaining a method, calculation, or result that is "predicated on" the properties and assumptions of a binomial distribution.

How does using a binomial distribution differ from other statistical models?

Unlike normal or Poisson distributions, a binomial distribution is specifically designed for situations involving a fixed number of independent trials, each with only two possible outcomes. Therefore analyses "based on a binomial" require these conditions to be met.