HP -15C Advanced Functions Handbook page 125

Section 4: Using Matrix Operations 123
where
and
i = l "i = l
for some constants Xi and x
2
.
If the size of the test is a (0 < a < I), you can find x^ and x
2
by
solving the system of equations/^(x) = /
2
(x) = 0, where
= (n - 1) \n(x
2
/x
l
) + x
l
- x
2
r
J
/
2
(x)=J (w/2)
m
exp(-w/2)dw - 2(1 -a)T(m + 1).
•*-!
Here ^2 ^ ^i > 0, a and n are known (n > 1), and m = (n — l)/2 — 1.
An initial guess for (x
1
,x
2
) is
and ^ =
X n 2
_ _
a / 2
where xj
p
is thepth percentile of the chi-square distribution with d
degrees of freedom.
For this example,
F(x) =
Enter the following program:
Keystrokes Display
fflCLEARiPRGMl
[T][DiMl[Bl
Program mode.
000-
001-42,21,11
002- 2
003- 36
004-42,23,13 Dimensions F matrix to
2 X 2 .
005- 1
006-42,23,12 Dimensions f matrix to
2 X 1 .