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binomial sample

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  • Sample size determination — is the act of choosing the number of observations to include in a statistical sample. The sample size is an important feature of any empirical study in which the goal is to make inferences about a population from a sample. In practice, the sample …   Wikipedia

  • Binomial proportion confidence interval — In statistics, a binomial proportion confidence interval is a confidence interval for a proportion in a statistical population. It uses the proportion estimated in a statistical sample and allows for sampling error. There are several formulas for …   Wikipedia

  • Binomial distribution — Probability distribution name =Binomial type =mass pdf cdf Colors match the image above parameters =n geq 0 number of trials (integer) 0leq p leq 1 success probability (real) support =k in {0,dots,n}! pdf ={nchoose k} p^k (1 p)^{n k} ! cdf =I {1… …   Wikipedia

  • Sample size — The sample size of a statistical sample is the number of observations that constitute it. It is typically denoted n , a positive integer (natural number).Typically, all else being equal, a larger sample size leads to increased precision in… …   Wikipedia

  • Binomial test — In statistics, the binomial test is an exact test of the statistical significance of deviations from a theoretically expected distribution of observations into two categories.For example, suppose we have a board game that depends on the roll of a …   Wikipedia

  • Negative binomial distribution — Probability mass function The orange line represents the mean, which is equal to 10 in each of these plots; the green line shows the standard deviation. notation: parameters: r > 0 number of failures until the experiment is stopped (integer,… …   Wikipedia

  • Beta-binomial model — In empirical Bayes methods, the Beta binomial model is an analytic model where the likelihood function L(x| heta) is specifed by a binomial distribution:L(x| heta) = operatorname{Bin}(x, heta),::: = {nchoose x} heta^x(1 heta)^{n x},and the… …   Wikipedia

  • Simple random sample — In statistics, a simple random sample is a subset of individuals (a sample) chosen from a larger set (a population). Each individual is chosen randomly and entirely by chance, such that each individual has the same probability of being chosen at… …   Wikipedia

  • A Treatise on the Binomial Theorem — is a brilliant work of mathematics by the young James Moriarty, the evil archenemy of the detective Sherlock Holmes in the fiction of Arthur Conan Doyle. The treatise is mentioned in the novel The Final Problem , when Holmes, speaking of… …   Wikipedia

  • Bayes estimator — In decision theory and estimation theory, a Bayes estimator is an estimator or decision rule that maximizes the posterior expected value of a utility function or minimizes the posterior expected value of a loss function (also called posterior… …   Wikipedia

  • probability theory — Math., Statistics. the theory of analyzing and making statements concerning the probability of the occurrence of uncertain events. Cf. probability (def. 4). [1830 40] * * * Branch of mathematics that deals with analysis of random events.… …   Universalium

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