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ncfrnd - Noncentral F random numbers

Syntax

R = ncfrnd(NU1,NU2,DELTA)
R = ncfrnd(NU1,NU2,DELTA,v)
R = ncfrnd(NU1,NU2,DELTA,m,n)

Description

R = ncfrnd(NU1,NU2,DELTA) returns a matrix of random numbers chosen from the noncentral F distribution with corresponding numerator degrees of freedom in NU1, denominator degrees of freedom in NU2, and positive noncentrality parameters in DELTA. NU1, NU2, and DELTA can be vectors, matrices, or multidimensional arrays that have the same size, which is also the size of R. A scalar input for NU1, NU2, or DELTA is expanded to a constant matrix with the same dimensions as the other inputs.

R = ncfrnd(NU1,NU2,DELTA,v) returns a matrix of random numbers with parameters NU1, NU2, and DELTA, where v is a row vector. If v is a 1-by-2 vector, R is a matrix with v(1) rows and v(2) columns. If v is 1-by-n, R is an n-dimensional array.

R = ncfrnd(NU1,NU2,DELTA,m,n) generates random numbers with parameters NU1, NU2, and DELTA, where scalars m and n are the row and column dimensions of R.

Examples

Compute six random numbers from a noncentral F distribution with 10 numerator degrees of freedom, 100 denominator degrees of freedom and a noncentrality parameter, δ, of 4.0. Compare this to the F distribution with the same degrees of freedom.

r = ncfrnd(10,100,4,1,6)
r =
  2.5995  0.8824  0.8220  1.4485  1.4415  1.4864

r1 = frnd(10,100,1,6)
r1 =
  0.9826  0.5911  1.0967  0.9681  2.0096  0.6598

References

[1] Johnson, N., and S. Kotz. Distributions in Statistics: Continuous Univariate Distributions-2. Hoboken, NJ: John Wiley & Sons, Inc., 1970, pp. 189–200.

See Also

random, ncfpdf, ncfcdf, ncfinv, ncfstat

Noncentral F Distribution

  


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