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Topic: Binomial


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In the News (Mon 7 Dec 09)

  
  Binomial distribution - Wikipedia, the free encyclopedia
In probability theory and statistics, the binomial distribution is the discrete probability distribution of the number of successes in a sequence of n independent yes/no experiments, each of which yields success with probability p.
The binomial distribution is the basis for the popular binomial test of statistical significance.
The number of HIV-positives you pick is a random variable X which follows a binomial distribution with n = 500 and p =.05.
en.wikipedia.org /wiki/Binomial_distribution   (733 words)

  
 Binomial - Wikipedia, the free encyclopedia
In elementary algebra, a binomial is a polynomial with two terms: the sum of two monomials.
The square of a binomial a + b is
Pascal's triangle is not good to use with large numbers but as a rule of thumb will suffice where the power does not exceed 7.
en.wikipedia.org /wiki/Binomial   (242 words)

  
 Learn more about Binomial nomenclature in the online encyclopedia.   (Site not responding. Last check: 2007-11-06)
As the word 'binomial' suggests, the scientific name of each species is the combination of two names: the genus name and the species epithet.
Carolus Linnaeus invented this classification, but it is a common misconception that he also invented binomial nomenclature; in fact it dates back to the Bauhins.
Binomial nomenclature is only one of many conventions used to name organisms.
www.onlineencyclopedia.org /b/bi/binomial_nomenclature.html   (683 words)

  
 Binomial Distribution   (Site not responding. Last check: 2007-11-06)
The binomial distribution is used when a researcher is interested in the occurrence of an event, not in its magnitude.
The binomial distribution is specified by the number of observations, n, and the probability of occurence, which is denoted by p.
A classic example that is used often to illustrate concepts of probability theory, is the tossing of a coin.
www.berrie.dds.nl /binomial.html   (378 words)

  
 Binomial nomenclature -- Facts, Info, and Encyclopedia article   (Site not responding. Last check: 2007-11-06)
As the word 'binomial' suggests, the scientific name of a species is formed by the combination of two terms: the ((biology) taxonomic group containing one or more species) genus name and the species epithet or descriptor.
For this reason the binomial name of a species is sometimes called its "Latin name," although this terminology is frowned upon by biologists.
He was, however, the first to systematize and popularize binomial nomenclature, and it is only one aspect of his systematical achievements or misachievements (such as oversimplifying fungal systematics).
www.absoluteastronomy.com /encyclopedia/b/bi/binomial_nomenclature.htm   (1493 words)

  
 1.3.6.6.18. Binomial Distribution
The binomial distribution is used when there are exactly two mutually exclusive outcomes of a trial.
The binomial distribution is used to obtain the probability of observing x successes in N trials, with the probability of success on a single trial denoted by p.
The following is the plot of the binomial cumulative distribution function with the same values of p as the pdf plots above.
www.itl.nist.gov /div898/handbook/eda/section3/eda366i.htm   (235 words)

  
 The Binomial Distribution
As a general rule, the binomial distribution should not be applied to observations from a simple random sample (SRS) unless the population size is at least 10 times larger than the sample size.
The binomial coefficient multiplies the probability of one of these possibilities (which is (1/2)²(1/2)² = 1/16 for a fair coin) by the number of ways the outcome may be achieved, for a total probability of 6/16.
The binomial distribution for a random variable X with parameters n and p represents the sum of n independent variables Z which may assume the values 0 or 1.
www.stat.yale.edu /Courses/1997-98/101/binom.htm   (1250 words)

  
 This procedure allows you to do the binomial test online
The binomial distribution is probably the best known of the discrete distributions and a discussion of its properties can be found in most introductory statistics books (Blalock HM, 1960; Wonnacott TH, Wonnacott RJ, 1977).
The binomial distribution gives you the likelihood of finding 'x' failures (or white or female or large or tail or accidents, only your imagination limits you), as opposed to success (or fl or male or small or heads or cars coming by which didn't have an accident).
One of the main differences between the Poisson distribution and the binomial distribution is that in using the binomial distribution all eligible phenomena are studied, whereas in the Poisson only the cases with a particular outcome are studied.
home.clara.net /sisa/binohlp.htm   (986 words)

  
 Binomial Trees, Forests, and Heaps
A binomial queue is a forest of binomial trees, where at most one tree of each index may be present.
If we have labels (keys) on the nodes of a binomial tree, and we impose an ordering property where the parent key is larger than the keys of any of its children, we can construct a heap with a binomial queue.
For example, this same scheme could be used with the binomial heap where the items in the BST store a pointer to the node in the binary tree representation of the heap, rather than indices in the heap array.
www.cs.rutgers.edu /~kaplan/503/handouts/binomialQ.html   (1682 words)

  
 Binomial distribution
In statistics the so-called binomial distribution describes the possible number of times that a particular event will occur in a sequence of observations.
In this instance it is much easier to approximate the binomial probabilities by poisson probabilities.
For moderate values of p, the binomial distribution approaches the normal distribution if the number of observations is large.
www.stattucino.com /berrie/binomial.html   (378 words)

  
 * Binomial - (Gardening): Definition   (Site not responding. Last check: 2007-11-06)
Binomial nomenclature - a system in which the scientific name of a plant consists of two parts indicating the genus and species.
The Swedish botanist Linnaeus is generally credited with establishing the modern binomial system of plant names, which involves a genus name and a species name...
We encounter these terms describing the morphology (shape) of leaves when we research plants as they are used as frequently as botanical binomials because of their accuracy...
www.bestknows.com /gardening/binomial.html   (361 words)

  
 Math Forum - Ask Dr. Math   (Site not responding. Last check: 2007-11-06)
*Binomial expansion* refers to a formula by which one can "expand out" expressions like (x+y)^5 and (3*x+2)^n, where the entire binomial is raised to some power.
Usually, binomial expansion is introduced using a construction called Pascal's Triangle, but I prefer to think of it in terms of something called the *binomial coefficient*, which I'll explain later.
In essence, the most common use of binomial expansion is in expression simplification; the expansion is usually done when you expect terms to cancel.
mathforum.org /library/drmath/view/56381.html   (900 words)

  
 Binomial nomenclature - Open Encyclopedia   (Site not responding. Last check: 2007-11-06)
As the word 'binomial' suggests, the scientific name of a species is formed by the combination of two terms: the genus name and the species epithet or descriptor.
In articles concerning the taxonomy of a species, the date of publication associated with the authorship is added as well, but this practice is rare in encyclopedic or other non-taxonomic works.
It is a common misconception that Linnaeus also invented binomial nomenclature; in fact it dates back to the Bauhins, who lived nearly 200 years before Linnaeus.
open-encyclopedia.com /Binomial_nomenclature   (925 words)

  
 Arizona Rangelands: Inventory and Monitoring: Binomial Distribution
Binomial distributions are special sampling distributions generated when an attribute with only two possible outcomes is being recorded from a series of sample units.
Binomial distributions are also associated with point sampling to determine cover whenever each pin is considered a separate sample unit so that data is collected on a 'hit' basis.
Sample data following a binomial distribution cannot be analyzed using conventional inferential statistical procedures, which assume that data fits a normal distribution.
ag.arizona.edu /agnic/az/inventorymonitoring/binomial.html   (126 words)

  
 [No title]
The use of a mathematical model based on the binomial random variable for studying and evaluating children's ability to plan and execute a drawing is examined.
Application of the binomial or other discrete probability functions is suggested for modeling mental processes that involve capacity-limited mechanisms or resources, that include a finite number of events of a given kind, or that can be carried out by using a randomly variable amount of a given capacity-limited resource.
AB Presents a binomial test for hierarchical dependency, using the null hypothesis that all members of a population who possess a skill are a subset of the members who possess another skill.
www.uic.edu /classes/comm/comm201/stbinom.html   (4001 words)

  
 SurfStat.australia
The shape of the binomial distribution depends on the values of n and p.
The graph shows that the two curves are very close together (the symbol 2 indicates that the value for the binomial (A) and the normal (B) distributions were nearly equal).
For accurate values for binomial probabilities, either use computer software to do exact calculations or if n is not very large, the probability calculation can be improved by using the continuity correction.
www.anu.edu.au /nceph/surfstat/surfstat-home/3-2-8.html   (411 words)

  
 The Accounting and Valuation Treatment of Employee Stock Options
In contrast, the binomial is an open-form or lattice model.
A big advantage of the binomial is that it can value an American-style option, which can be exercised before the end of its term, and it is the style of option ESOs usually take.
Because the binomial model already builds-in these illiquidity factors through the vesting restrictions and early exercise assumptions, the binomial accepts the full 10-year term as an input.
www.investopedia.com /features/eso/eso3.asp   (1410 words)

  
 PlanetMath: binomial distribution   (Site not responding. Last check: 2007-11-06)
We will use the moment generating function to calculate the mean and variance for the distribution.
Cross-references: normal distribution, Poisson distribution, binomial coefficients, derivative, function, variance, mean, moment generating function, expansion, binomial, calculate, probability function, distribution function, outcomes
This is version 12 of binomial distribution, born on 2002-09-13, modified 2004-06-28.
planetmath.org /encyclopedia/BinomialRandomVariable.html   (167 words)

  
 The Normal Approximation to the Binomial   (Site not responding. Last check: 2007-11-06)
The normal distribution is a good approximation to the binomial when n is sufficiency large and p is not too close to 0 or 1.
Example #1 computes binomial probabilities and quantiles for the distribution of hotel room occupancies and compares them to probabilities computed approximately using a normal approximation.
Exercise #1 computes binomial probabilities and quantiles for the distribution of girl births and compares them to probabilities computed approximately using a normal approximation.
www.stat.wvu.edu /SRS/Modules/NormalApprox/normalapprox.html   (203 words)

  
 Binomial Probabilities   (Site not responding. Last check: 2007-11-06)
Identify a trial, a success, the values for p and n, and the possible values of X. Probabilities associated with a binomial experiment having a large sample space are typically calculated using the binomial probability formula.
The purpose of this exploration is to use the binomial probability formula to calculate probabilities.
Calculate the binomial coefficient C(3, 0), C(3, 1), C(3, 2) and C(3, 3) by using the binomial coefficient formula.
faculty.frostburg.edu /math/monline/stat/43_p1.html   (1561 words)

  
 Binomial Demonstration. (Page 7)   (Site not responding. Last check: 2007-11-06)
When p = 0.5, cumulative binomial probabilities approximate a normal shape, i.e., they are distributed symmetrically and are unimodal.
When p does not equal 0.5, the binomial distribution will still be unimodal, but will be skewed.
When p is greater than 0.5, the distribution will be positively skewed (the peak will be on the left side of the distribution, with relatively fewer observations on the right).
www.yorku.ca /mzivian/bino.htm   (556 words)

  
 The Binomial Distribution   (Site not responding. Last check: 2007-11-06)
The outcome of this type of experiment is the number of successes, i.e., a count.
The discrete variable X representing the number of successes is called a binomial random variable.
The binomial mean, or the expected number of successes in n trials, is E(X) = np.
www.stat.wvu.edu /SRS/Modules/Binomial/binomial.html   (280 words)

  
 Binomial theorem
The solution to the problem of the binomial coefficients without actually multiplying out, is called the binomial theorem.
We found the binomial coefficients to be 1 5 10 10 5 1.
In the binomial, x is "a", and −1 is "b".
www.themathpage.com /aPreCalc/binomial-theorem.htm   (951 words)

  
 Option pricing with binomial approximations   (Site not responding. Last check: 2007-11-06)
For European options, binomial trees are not that much used, since the Black Scholes model will give the correct answer, but it is useful to see the construction of the binomial tree without the checks for early exercise, which is the American case.
In the binomial model, the adjustment for dividends depend on whether the dividends are discrete or proportional.
In that case the nodes of the binomial tree do not ``link up,'' and the number of branches increases dramatically, which means that the time to do the calculation is increased.
finance.bi.no /~bernt/gcc_prog/recipes/recipes/node10.html   (927 words)

  
 Binomial Distribution
The binomial distribution describes the outcome of a series of trials, the outcome of which can only be a success or failure.
As the average for the distribution increases, the profile of the binomial approaches that of the normal distribution and under some conditions it is possible to use the normal distribution as an approximation.
The Binomial distribution can be approximated by a normal distribution with the same mean and standard deviation.
www.brighton-webs.co.uk /distributions/binomial.asp   (341 words)

  
 Binomial Distribution   (Site not responding. Last check: 2007-11-06)
The Binomial Distribution is the most commonly used discrete probability function.
It can be used to determine the probabilities of the number of "successes" in an experiment with a fixed number of trials.
To calculate the probability of a binomial random variable you need two parameters: n = the number of trials and p = the probability that a trial's outcome is positive.
www.unca.edu /math/OnLine/Stat220/Lesson/L_MS_Binomial.html   (668 words)

  
 binomial
Transform-both-sides approach for overdispersed binomial data when N is unobserved.
Approximate is better than "exact" for interval estimation of binomial proportions.
Binomial regression with monotone splines: a psychometric application.
www.infoplease.com /ce6/sci/A0807609.html   (201 words)

  
 binomial on Encyclopedia.com
The binomial theorem, or binomial formula, gives the expansion of the n th power of a binomial (x + y) for n= 1, 2, 3, … , as follows: where the ellipsis (…) indicates a continuation of terms following the same pattern.
Bayesian inference for the negative binomial distribution via polynomial expansions.
Manufacturing control of a serial system with binomial yields, multiple production runs, and non-rigid demand: a decomposition approach.
www.encyclopedia.com /html/b1/binomial.asp   (451 words)

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