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fcdf - F cumulative distribution function

Syntax

P = fcdf(X,V1,V2)

Description

P = fcdf(X,V1,V2) computes the F cdf at each of the values in X using the corresponding numerator degrees of freedom V1 and denominator degrees of freedom V2. X, V1, and V2 can be vectors, matrices, or multidimensional arrays that are all the same size. A scalar input is expanded to a constant matrix with the same dimensions as the other inputs. The parameters in V1 and V2 must be positive integers.

The F cdf is

The result, p, is the probability that a single observation from an F distribution with parameters ν1 and ν2 will fall in the interval [0 x].

Examples

The following illustrates a useful mathematical identity for the F distribution:

nu1 = 1:5;
nu2 = 6:10;
x = 2:6;

F1 = fcdf(x,nu1,nu2)
F1 =
  0.7930  0.8854  0.9481  0.9788  0.9919

F2 = 1 - fcdf(1./x,nu2,nu1)
F2 =
  0.7930  0.8854  0.9481  0.9788  0.9919

See Also

cdf, fpdf, finv, fstat, frnd

F Distribution

  


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