binomial distribution

Also found in: Dictionary, Thesaurus, Legal, Financial, Acronyms, Encyclopedia, Wikipedia.
Related to binomial distribution: Poisson distribution, normal distribution

bi·no·mi·al dis·tri·bu·tion

1. a probability distribution associated with two mutually exclusive outcomes, for example, presence or absence of a clinical sign.
2. the possible array of the number of successes in the outcomes from a fixed number, n, of independent Bernoulli trials; the probabilities associated with each constitute a binomial process of order n.

binomial distribution

The outcomes of a binomial experiment with their corresponding discrete probability distribution.

Ber·noul·li dis·tri·bu·tion

(ber-nū'lē dis'tri-byū'shŭn)
Probability distribution that describes likelihood of various combinations of two alternate outcomes in a series of independent trials.
Synonym(s): binomial distribution.
[Jakob Bernoulli, 1654-1705, Swiss mathematician]


composed of two terms, e.g. names of organisms formed by combination of genus and species names.

binomial distribution
categorization of a group into two mutually exclusive subgroups, e.g. sick and not sick.
binomial population
a population which can be divided into a binomial distribution.


the arrangement of numerical data. The arrangement may be in accordance with magnitude, a frequency distribution, or in relation to geographical location, a spatial distribution.

age distribution
see age distribution.
bimodal distribution
the distribution has two regions of high frequency of observations separated by a zone of low frequency.
binomial distribution
a probability distribution associated with two mutually exclusive outcomes.
cluster distribution
a nonrandom distribution with observations aggregating about geographic or temporal variables. May be deceptive and merely reflect the distribution of an uneven population.
frequency distribution
a table or graph of the frequency of occurrence of each value of a variable.
Gaussian distribution
see normal distribution (below).
hypergeometric distribution
may apply to sampling without replacement of a finite population.
lognormal distribution
a distribution which is normal when the log values of the variable are considered.
normal distribution
a graph of the distribution appears as a bell-shaped curve which is symmetrical on the two sides of the vertical axis through the peak of the curve. Called also gaussian distribution.
parent distribution
the distribution (population) that was originally sampled.
Poisson distribution
regular distribution
distributed at regular intervals of time or space; all values within its given interval are equally likely.
sex distribution
an increase in frequency in one sex, which includes neutered males and neutered females. Called also sex-linked or sex-associated.
skewed distribution
a distribution in which the curve illustrating it is not symmetrical but has a long tail on one or other side of the graph.
spatial distribution
variations in distribution related to position in space, e.g. close to the door of a barn.
see t-test.
temporal distribution
variation in distribution related to time, e.g. occurrence of disease incidents after visits by veterinarians, inseminators, feed salesmen.
References in periodicals archive ?
TABLE 2--Results of the chi-square goodness-of-fit test for the Poisson and negative binomial distributions for Brevipalpus phoenicis in citrus in two blocks.
5765) were derived so that the GBD fits the actual results of these data sets very well, while the binomial distribution does not fit the actual data.
This approach results in fewer startup units than would be required by the current approach of assuming a binomial distribution and using the mean of the binomial to determine the number of startup units.
While the second concern is not as critical as the first, it is nonetheless an important issue, and it is an outcome that could occur if the binomial distribution is used to determine sample size for a small population.
lf you were to believe that the stable distribution or the negative binomial distribution were the only two hypotheses to be considered, considered them equally likely (and were willing to overlook the negative and fractional home run predictions of the stable distribution) the "weight of the evidence" (Good 1981; Peirce 1878) would still be against the power law distribution.
Variable X has binomial distribution X= 0, 1, 2, m f(x) = mCx px qm-x ; x=0, 1, 2, 3, .
This joint distribution can be called zero-inflated multivariate negative binomial (ZI-MVNB) because it has the form of a multivariate negative binomial distribution with a zero-inflated term equal to [[phi].
To calculate the expected number of cells to be found in mitosis (x) within a population of cells (n), given a probability of mitosis (p), and a probability (q) of no mitosis, we used the following binomial distribution formula:
The interval estimates were calculated as confidence intervals of a binomial distribution parameter.
The results given here are applicable to one-sided testing of any system with performance characteristics conforming to a binomial distribution.
r] has a (conditional) binomial distribution with parameters [n.