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Proportzio baterako konfiantza-tarte Konfidenzintervall für die Erfolgswahrscheinlichkeit der Binomialverteilung ウィルソンの信頼区間 Binomial proportion confidence interval
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Ein Konfidenzintervall für die Erfolgswahrscheinlichkeit der Binomialverteilung ist ein Konfidenzintervall (Vertrauensbereich) für den unbekannten Parameter der Binomialverteilung (nach Beobachtung von Treffern in einer Stichprobe der Größe ). Exakte Konfidenzintervalle erhält man unter Zuhilfenahme der Binomialverteilung. Es gibt aber auch Näherungsmethoden, die (meistens) auf der Approximation der Binomialverteilung durch die Normalverteilung basieren. ウィルソンの信頼区間(ウィルソンの得点区間)は二項分布の成功確率の信頼区間を与える。正規分布に近似して得られる信頼区間に比べて、少ないサンプルでも良い性質をもつとされる。 (1927)によって最初に提唱された。 In statistics, a binomial proportion confidence interval is a confidence interval for the probability of success calculated from the outcome of a series of success–failure experiments (Bernoulli trials). In other words, a binomial proportion confidence interval is an interval estimate of a success probability p when only the number of experiments n and the number of successes nS are known. Inferentzia estatistikoan, proportzio baterako konfiantza-tarteak populazio bateko proportzioaren zenbatespena egiten du konfiantza-tarte baten bitartez eta lagin batetik jasotako datuetan oinarrituz eta konfiantza maila jakin baterako. Adibidez, proportzio baterako konfiantza-tarte batek makina batek ekoizten dituen osagaietan dauden akastunen proportzioa %99ko konfiantzaz %8-%12 tartean dagoela ezar dezake. Proportzio baterako konfiantza tarteak aplikazio zabalak ditu praktikan: industrian, piezen kalitatea kuantifikatzeko erabil daiteke, pieza akastunak edo akasgabeak bereiziz; medikuntzan, gaixotasun batek erasaten dune populazioaren proportzioa zenbatesteko eta soziologian, hauteskundeen aurretik botu jakin bat eman behar dutenen pertsonen portzentaia estimatzeko. Ohikoa da konfiantza
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Ein Konfidenzintervall für die Erfolgswahrscheinlichkeit der Binomialverteilung ist ein Konfidenzintervall (Vertrauensbereich) für den unbekannten Parameter der Binomialverteilung (nach Beobachtung von Treffern in einer Stichprobe der Größe ). Exakte Konfidenzintervalle erhält man unter Zuhilfenahme der Binomialverteilung. Es gibt aber auch Näherungsmethoden, die (meistens) auf der Approximation der Binomialverteilung durch die Normalverteilung basieren. Inferentzia estatistikoan, proportzio baterako konfiantza-tarteak populazio bateko proportzioaren zenbatespena egiten du konfiantza-tarte baten bitartez eta lagin batetik jasotako datuetan oinarrituz eta konfiantza maila jakin baterako. Adibidez, proportzio baterako konfiantza-tarte batek makina batek ekoizten dituen osagaietan dauden akastunen proportzioa %99ko konfiantzaz %8-%12 tartean dagoela ezar dezake. Proportzio baterako konfiantza tarteak aplikazio zabalak ditu praktikan: industrian, piezen kalitatea kuantifikatzeko erabil daiteke, pieza akastunak edo akasgabeak bereiziz; medikuntzan, gaixotasun batek erasaten dune populazioaren proportzioa zenbatesteko eta soziologian, hauteskundeen aurretik botu jakin bat eman behar dutenen pertsonen portzentaia estimatzeko. Ohikoa da konfiantza tartea eratu aurretik, konfiantza eta tarte-zabalera jakin baterako beharrezko kalkulatzea. Lagin hori jaso eta bertako proportzioa kalkulatu eta gero, tartea zehaztuko da. Proportzioaren tarte-zenbatespena banaketa binomialean oinarritzen da, laginean suertatzen diren baiezko edo ezezko kopurua banaketa binomialari jarraiki banatzen baita, non elementu bakoitzak aurkako bi ezaugarri izango dituen: bai edo ez, arrakasta edo porrot, akastun edo akasgabe. Gehienetan, lagin-tamaina handia izaten denez, banaketa binomialaren ordez, banaketa normala erabiltzen da hurbilketa moduan. Tarte zehatzaren eta gutxi gorabeherako tarteen arteko aldea bidez kalkula daiteke "ebcic" ((Ingelesez) Exact Binomial Confidence Interval Calculator: Konfiantza binomialaren kalkulagailu zehatza). ウィルソンの信頼区間(ウィルソンの得点区間)は二項分布の成功確率の信頼区間を与える。正規分布に近似して得られる信頼区間に比べて、少ないサンプルでも良い性質をもつとされる。 (1927)によって最初に提唱された。 In statistics, a binomial proportion confidence interval is a confidence interval for the probability of success calculated from the outcome of a series of success–failure experiments (Bernoulli trials). In other words, a binomial proportion confidence interval is an interval estimate of a success probability p when only the number of experiments n and the number of successes nS are known. There are several formulas for a binomial confidence interval, but all of them rely on the assumption of a binomial distribution. In general, a binomial distribution applies when an experiment is repeated a fixed number of times, each trial of the experiment has two possible outcomes (success and failure), the probability of success is the same for each trial, and the trials are statistically independent. Because the binomial distribution is a discrete probability distribution (i.e., not continuous) and difficult to calculate for large numbers of trials, a variety of approximations are used to calculate this confidence interval, all with their own tradeoffs in accuracy and computational intensity. A simple example of a binomial distribution is the set of various possible outcomes, and their probabilities, for the number of heads observed when a coin is flipped ten times. The observed binomial proportion is the fraction of the flips that turn out to be heads. Given this observed proportion, the confidence interval for the true probability of the coin landing on heads is a range of possible proportions, which may or may not contain the true proportion. A 95% confidence interval for the proportion, for instance, will contain the true proportion 95% of the times that the procedure for constructing the confidence interval is employed.
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