Noncentral distributions | Continuous distributions

Noncentral F-distribution

In probability theory and statistics, the noncentral F-distribution is a continuous probability distribution that is a noncentral generalization of the (ordinary) F-distribution. It describes the distribution of the quotient (X/n1)/(Y/n2), where the numerator X has a noncentral chi-squared distribution with n1 degrees of freedom and the denominator Y has a central chi-squared distribution with n2 degrees of freedom. It is also required that X and Y are statistically independent of each other. It is the distribution of the test statistic in analysis of variance problems when the null hypothesis is false. The noncentral F-distribution is used to find the power function of such a test. (Wikipedia).

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Related pages

Noncentral chi-squared distribution | NumPy | Probability density function | MATLAB | Probability theory | Noncentral distribution | Null hypothesis | Noncentral t-distribution | R (programming language) | F-distribution | Analysis of variance | Statistics | Chi-squared distribution | Cumulative distribution function | Test statistic | Beta function