nctcdf
"upper")Noncentral -cumulative distribution function (CDF).
For each element of x, compute the cumulative distribution function (CDF) of the noncentral -distribution with df degrees of freedom and noncentrality parameter mu. The size of p is the common size of x, df, and mu. A scalar input functions as a constant matrix of the same size as the other inputs.
p = nctcdf (x, df, mu, "upper") computes
the upper tail probability of the noncentral -distribution with
parameters df and mu, at the values in x.
Further information about the noncentral -distribution can be found at https://en.wikipedia.org/wiki/Noncentral_t-distribution
See also: nctinv, nctpdf, nctrnd, nctstat, tcdf
Source Code: nctcdf
## Plot various CDFs from the noncentral Τ distribution
x = -5:0.01:5;
p1 = nctcdf (x, 1, 0);
p2 = nctcdf (x, 4, 0);
p3 = nctcdf (x, 1, 2);
p4 = nctcdf (x, 4, 2);
plot (x, p1, "-r", x, p2, "-g", x, p3, "-k", x, p4, "-m")
grid on
xlim ([-5, 5])
legend ({"df = 1, μ = 0", "df = 4, μ = 0", ...
"df = 1, μ = 2", "df = 4, μ = 2"}, "location", "southeast")
title ("Noncentral Τ CDF")
xlabel ("values in x")
ylabel ("probability")
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## Compare the noncentral T CDF with MU = 1 to the T CDF
## with the same number of degrees of freedom (10).
x = -5:0.1:5;
p1 = nctcdf (x, 10, 1);
p2 = tcdf (x, 10);
plot (x, p1, "-", x, p2, "-")
grid on
xlim ([-5, 5])
legend ({"Noncentral T(10,1)", "T(10)"}, "location", "southeast")
title ("Noncentral T vs T CDFs")
xlabel ("values in x")
ylabel ("probability")
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