HP 50g HP 50g_user's manual_English_HDPSG49AEM8.pdf - Page 155
The Chi-square distribution, The F distribution, Reference, For example, UTPC5
UPC - 882780502291
View all HP 50g manuals
Add to My Manuals
Save this manual to your list of manuals |
Page 155 highlights
The Chi-square distribution The Chi-square (χ2) 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 χ2-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(XF) = 1 - P(ℑ
Page 15-4
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
ν
N = numerator degrees of freedom,
and
ν
D = 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
ν
N and
ν
D, and the value
of F.
The definition of this function is, therefore, UTPF(
ν
N,
ν
D,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.