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F-distribution

Index F-distribution

No description. [1]

41 relations: Analysis of variance, Beta distribution, Beta function, Beta prime distribution, Biometrika, Characteristic function (probability theory), Chi-squared distribution, Chow test, Cochran's theorem, Confluent hypergeometric function, Cumulative distribution function, Degrees of freedom (statistics), F-statistics, F-test, Fisher's z-distribution, Frequentist inference, Gamma distribution, George W. Snedecor, Hotelling's T-squared distribution, Independence (probability theory), Jeffreys prior, Kurtosis, Laplace distribution, Natural number, Noncentral F-distribution, Null distribution, Pearson distribution, Population genetics, Prior probability, Probability density function, Probability distribution, Probability theory, Random variable, Random variate, Real number, Ronald Fisher, Statistics, Student's t-distribution, Test statistic, Wilks's lambda distribution, Wishart distribution.

Analysis of variance

Analysis of variance (ANOVA) is a collection of statistical models and their associated estimation procedures (such as the "variation" among and between groups) used to analyze the differences among group means in a sample.

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Beta distribution

In probability theory and statistics, the beta distribution is a family of continuous probability distributions defined on the interval parametrized by two positive shape parameters, denoted by α and β, that appear as exponents of the random variable and control the shape of the distribution.

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Beta function

In mathematics, the beta function, also called the Euler integral of the first kind, is a special function defined by for.

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Beta prime distribution

In probability theory and statistics, the beta prime distribution (also known as inverted beta distribution or beta distribution of the second kindJohnson et al (1995), p 248) is an absolutely continuous probability distribution defined for x > 0 with two parameters α and β, having the probability density function: where B is a Beta function.

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Biometrika

Biometrika is a peer-reviewed scientific journal published by Oxford University Press for the Biometrika Trust.

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Characteristic function (probability theory)

In probability theory and statistics, the characteristic function of any real-valued random variable completely defines its probability distribution.

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Chi-squared distribution

No description.

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Chow test

The Chow test, proposed by econometrician Gregory Chow in 1960, is a test of whether the true coefficients in two linear regressions on different data sets are equal.

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Cochran's theorem

In statistics, Cochran's theorem, devised by William G. Cochran, is a theorem used to justify results relating to the probability distributions of statistics that are used in the analysis of variance.

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Confluent hypergeometric function

In mathematics, a confluent hypergeometric function is a solution of a confluent hypergeometric equation, which is a degenerate form of a hypergeometric differential equation where two of the three regular singularities merge into an irregular singularity.

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Cumulative distribution function

In probability theory and statistics, the cumulative distribution function (CDF, also cumulative density function) of a real-valued random variable X, or just distribution function of X, evaluated at x, is the probability that X will take a value less than or equal to x. In the case of a continuous distribution, it gives the area under the probability density function from minus infinity to x. Cumulative distribution functions are also used to specify the distribution of multivariate random variables.

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Degrees of freedom (statistics)

In statistics, the number of degrees of freedom is the number of values in the final calculation of a statistic that are free to vary.

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F-statistics

In population genetics, F-statistics (also known as fixation indices) describe the statistically expected level of heterozygosity in a population; more specifically the expected degree of (usually) a reduction in heterozygosity when compared to Hardy–Weinberg expectation.

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F-test

An F-test is any statistical test in which the test statistic has an ''F''-distribution under the null hypothesis.

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Fisher's z-distribution

Fisher's z-distribution is the statistical distribution of half the logarithm of an ''F''-distribution variate: It was first described by Ronald Fisher in a paper delivered at the International Mathematical Congress of 1924 in Toronto.

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Frequentist inference

Frequentist inference is a type of statistical inference that draws conclusions from sample data by emphasizing the frequency or proportion of the data.

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Gamma distribution

In probability theory and statistics, the gamma distribution is a two-parameter family of continuous probability distributions.

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George W. Snedecor

George Waddel Snedecor (October 20, 1881 – February 15, 1974) was an American mathematician and statistician.

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Hotelling's T-squared distribution

In statistics Hotelling's T-squared distribution (T2) is a multivariate distribution proportional to the ''F''-distribution and arises importantly as the distribution of a set of statistics which are natural generalizations of the statistics underlying Student's ''t''-distribution.

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Independence (probability theory)

In probability theory, two events are independent, statistically independent, or stochastically independent if the occurrence of one does not affect the probability of occurrence of the other.

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Jeffreys prior

In Bayesian probability, the Jeffreys prior, named after Sir Harold Jeffreys, is a non-informative (objective) prior distribution for a parameter space; it is proportional to the square root of the determinant of the Fisher information matrix: It has the key feature that it is invariant under reparameterization of the parameter vector \vec\theta.

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Kurtosis

In probability theory and statistics, kurtosis (from κυρτός, kyrtos or kurtos, meaning "curved, arching") is a measure of the "tailedness" of the probability distribution of a real-valued random variable.

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Laplace distribution

In probability theory and statistics, the Laplace distribution is a continuous probability distribution named after Pierre-Simon Laplace.

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Natural number

In mathematics, the natural numbers are those used for counting (as in "there are six coins on the table") and ordering (as in "this is the third largest city in the country").

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Noncentral F-distribution

In probability theory and statistics, the noncentral F-distribution is a continuous probability distribution that is a generalization of the (ordinary) ''F''-distribution.

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Null distribution

In statistical hypothesis testing, the null distribution is the probability distribution of the test statistic when the null hypothesis is true.

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Pearson distribution

The Pearson distribution is a family of continuous probability distributions.

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Population genetics

Population genetics is a subfield of genetics that deals with genetic differences within and between populations, and is a part of evolutionary biology.

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Prior probability

In Bayesian statistical inference, a prior probability distribution, often simply called the prior, of an uncertain quantity is the probability distribution that would express one's beliefs about this quantity before some evidence is taken into account.

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Probability density function

In probability theory, a probability density function (PDF), or density of a continuous random variable, is a function, whose value at any given sample (or point) in the sample space (the set of possible values taken by the random variable) can be interpreted as providing a relative likelihood that the value of the random variable would equal that sample.

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Probability distribution

In probability theory and statistics, a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.

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Probability theory

Probability theory is the branch of mathematics concerned with probability.

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Random variable

In probability and statistics, a random variable, random quantity, aleatory variable, or stochastic variable is a variable whose possible values are outcomes of a random phenomenon.

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Random variate

In the mathematical fields of probability and statistics, a random variate is a particular outcome of a random variable: the random variates which are other outcomes of the same random variable might have different values.

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Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

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Ronald Fisher

Sir Ronald Aylmer Fisher (17 February 1890 – 29 July 1962), who published as R. A. Fisher, was a British statistician and geneticist.

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Statistics

Statistics is a branch of mathematics dealing with the collection, analysis, interpretation, presentation, and organization of data.

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Student's t-distribution

In probability and statistics, Student's t-distribution (or simply the t-distribution) is any member of a family of continuous probability distributions that arises when estimating the mean of a normally distributed population in situations where the sample size is small and population standard deviation is unknown.

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Test statistic

A test statistic is a statistic (a quantity derived from the sample) used in statistical hypothesis testing.

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Wilks's lambda distribution

In statistics, Wilks's lambda distribution (named for Samuel S. Wilks), is a probability distribution used in multivariate hypothesis testing, especially with regard to the likelihood-ratio test and multivariate analysis of variance (MANOVA).

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Wishart distribution

In statistics, the Wishart distribution is a generalization to multiple dimensions of the chi-squared distribution, or, in the case of non-integer degrees of freedom, of the gamma distribution.

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Redirects here:

Central F distribution, Central F-distribution, F Distribution, F distribution, F value, F-Ratio Distribution, F-ratio (statistics), F-ratio distribution, F-value, Fisher F, Fisher F-Distribution, Fisher-Snedecor distribution, Snedecor F distribution, Snedecor F-distribution, Snedecor's F distribution, Snedecor's F-distribution, Snedekor distribution.

References

[1] https://en.wikipedia.org/wiki/F-distribution

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