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The Chi-square distribution
The Chi-square (χ
2
) distribution has one parameter ν, known as the
degrees of freedom. The calculator provides for values of the upper-tail
(cumulative) distribution function for the χ
2
-distribution using UTPC given
the value of x and the parameter ν. The definition of this function is,
therefore, UTPC(ν,x) = P(X>x) = 1 - P(X<x). For example, UTPC(5, 2.5) =
0.776495…
The F distribution
The F distribution has two parameters νN = numerator degrees of freedom,
and νD = denominator degrees of freedom. The calculator provides for
values of the upper-tail (cumulative) distribution function for the F
distribution, function UTPF, given the parameters νN and νD, and the value
of F. The definition of this function is, therefore, UTPF(νN,νD,F) = P(
ℑ>F) =
1 - P(
ℑ<F). For example, to calculate UTPF(10,5, 2.5) = 0.1618347…
Reference
For additional probability distributions and probability applications, refer
to Chapter 17 in the calculator’s user’s guide.
SG49A.book Page 4 Friday, September 16, 2005 1:31 PM