Noncentral t cumulative distribution function
p = nctcdf(x,nu,delta)
p = nctcdf(x,nu,delta,'upper')
p = nctcdf(x,nu,delta) computes
the noncentral t cdf at each value in
the corresponding degrees of freedom in
noncentrality parameters in
delta can be vectors, matrices, or multidimensional
arrays that have the same size, which is also the size of
A scalar input for
expanded to a constant array with the same dimensions as the other
p = nctcdf(x,nu,delta,'upper') returns
the complement of the noncentral t cdf at each
x, using an algorithm that more accurately
computes the extreme upper tail probabilities.
Compare the noncentral t cdf with
1 to the t cdf with the same number of degrees of freedom (10).
x = (-5:0.1:5)'; p1 = nctcdf(x,10,1); p = tcdf(x,10); plot(x,p,'-',x,p1,':')
 Evans, M., N. Hastings, and B. Peacock. Statistical Distributions. 2nd ed., Hoboken, NJ: John Wiley & Sons, Inc., 1993, pp. 147–148.
 Johnson, N., and S. Kotz. Distributions in Statistics: Continuous Univariate Distributions-2. Hoboken, NJ: John Wiley & Sons, Inc., 1970, pp. 201–219.