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Exact statistics information


Exact statistics, such as that described in exact test, is a branch of statistics that was developed to provide more accurate results pertaining to statistical testing and interval estimation by eliminating procedures based on asymptotic and approximate statistical methods. The main characteristic of exact methods is that statistical tests and confidence intervals are based on exact probability statements that are valid for any sample size. Exact statistical methods help avoid some of the unreasonable assumptions of traditional statistical methods, such as the assumption of equal variances in classical ANOVA. They also allow exact inference on variance components of mixed models.

When exact p-values and confidence intervals are computed under a certain distribution, such as the normal distribution, then the underlying methods are referred to as exact parametric methods. The exact methods that do not make any distributional assumptions are referred to as exact nonparametric methods. The latter has the advantage of making fewer assumptions whereas, the former tend to yield more powerful tests when the distributional assumption is reasonable. For advanced methods such as higher-way ANOVA regression analysis, and mixed models, only exact parametric methods are available.

When the sample size is small, asymptotic results given by some traditional methods may not be valid. In such situations, the asymptotic p-values may differ substantially from the exact p-values. Hence asymptotic and other approximate results may lead to unreliable and misleading conclusions.

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Exact statistics

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Exact statistics, such as that described in exact test, is a branch of statistics that was developed to provide more accurate results pertaining to statistical...

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Exact test

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desired by making the sample size sufficiently large. Exact tests that are based on discrete test statistics may be conservative, indicating that the actual...

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Wikiquote

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Yarsanism

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religion due to the pressure of Iran's Islamic system, and there are no exact statistics of their population. The Yarsanis have a distinct religious literature...

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Apache revolver

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was allegedly used by British Commandos during World War II, though exact statistics about production numbers and technical details have as yet remained...

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Binomial test

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In statistics, the binomial test is an exact test of the statistical significance of deviations from a theoretically expected distribution of observations...

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Inverse distribution

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1287/mnsc.21.11.1338. JSTOR 2629897. Lecomte, Christophe (May 2013). "Exact statistics of systems with uncertainties: an analytical theory of rank-one stochastic...

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List of statistics articles

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theorem Evolutionary data mining Ewens's sampling formula EWMA chart Exact statistics Exact test Examples of Markov chains Excess risk Exchange paradox Exchangeable...

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Propagation of uncertainty

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Wiley. p. 171. ISBN 0-471-58495-9. Lecomte, Christophe (May 2013). "Exact statistics of systems with uncertainties: an analytical theory of rank-one stochastic...

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Qashqai people

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migration is the largest of any Persian tribe. It is difficult to give exact statistics, but we believe that the Tribes now number 400,000 men, women and children...

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StatXact

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a statistical software package for analyzing data using exact statistics. It calculates exact p-values and confidence intervals for contingency tables...

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Child prostitution

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other parts of the world, including North America, Africa, and Europe. Exact statistics are difficult to obtain, and in some cases, such as that of Argentina...

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Breslov

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London, Montreal, and Lakewood Township, New Jersey. While there are no exact statistics, according to the Breslov Research Institute, the number of core adherents...

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Divorce

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having a long history of accepting and celebrating divorce. Although exact statistics are not available, Mauritania is believed to have the highest divorce...

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Nonparametric statistics

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finite dimensional, as is parametric statistics. Nonparametric statistics can be used for descriptive statistics or statistical inference. Nonparametric...

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Elder abuse

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neglect up to 95%, making elder abuse in nursing homes a growing danger. Exact statistics are rare due to elder abuse in general and specifically in nursing...

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Wolf children

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of the children remained on the Lithuanian farms permanently, but exact statistics are not available. According to rough estimates, 45,000 German children...

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Ukrainian Insurgent Army

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Vol.2 Kyiv Lybid-Viysko Ukrainy, 1994 ISBN 5-325-00599-5 pp. 478–482 Exact statistics of UPA casualties by the Soviets and Soviet casualties by UPA, in specific...

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Test statistic

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of a descriptive statistic, and many statistics can be used as both test statistics and descriptive statistics. However, a test statistic is specifically...

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Religion in San Marino

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agnostic, 1.9% atheist, and 1% 'other'. The country does not provide exact statistics of the religious affiliations of its people. However, in the early...

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List of unsolved problems in statistics

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when the variances are unknown and possibly unequal. That is, there is no exact test (meaning that, if the means are in fact equal, one that rejects the...

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