Casio fx-CG50 User Manual page 273

9. Statistic Formula
k Test
Test
Z
1-Sample Test
Z
2-Sample Test
Z
1-Prop Test
Z
2-Prop Test
t
1-Sample Test
t
2-Sample Test (pooled)
t
2-Sample Test (not pooled)
t
LinearReg Test
χ
2
GOF Test
χ
2 two-way Test
F
2-Sample Test
ANOVA Test
o
z μ σ n
= ( – )/( /' )
0
o o
2
z σ n
= ( – )/ ( / ) + (
1 2 1
1
z x n p p
= ( / – )/ (1 –
0 0
z x n x n p ˆ
= ( / – / )/ (1 –
1 1 2 2
o
t μ n
= ( – )/(s /' )
x
0
o o
2
t n
= ( – )/ s (1/
p
1 2
1
2
n n
s = (( – 1)s + (
p
x
1 1
df n n
= + − 2
1 2
o o
2
t n
= ( – )/ s / + s
1 2 x
1 1
2
df n
= 1/(C /( – 1) + (1 – C )
1
2 2
n n
C = (s / )/(s / + s
x x
1 1 1 1
n n
Σ Σ
o p
b x y
= ( – )( – )/
i i
i=1 i=1
t r n r 2
= ( – 2)/(1 – )
k k
Σ Σ
χ χ
2 2 2 2
O O E E E E
= = ( ( − − ) ) / /
i i i i i i
i i
R R
k k
ΣΣ ΣΣ
χ χ
2 2 2 2
O O E E E E
= = ( ( − − ) ) / /
ij ij ij ij
i i j j
R R
k k k k
Σ Σ Σ Σ Σ Σ Σ Σ
E E O O O O
= = / /
ij ij ij • ij • ij ij
i=1 i=1 j=1 j=1 i=1 i=1
2 2
F
= s /s
x x
1 2
F MS MSe MS
= / =
k
Σ
o o
SS n 2
= ( − )
i i
i=1
Fdf k
= − 1
6-69
2
σ n
/ )
2
2
p n
)/
0
p ˆ n n
)(1/ + 1/ )
1 2
n
+ 1/ )
2
2
n n
– 1)s )/( + – 2)
x
2 2 1 2
2
n
/
x
2 2
2
n
/( – 1))
2
2
n
/ )
x
2 2
o p o
x 2 a b
( – ) = –
i
O i
: The -th element of the
i
observed list
E i
: The -th element of the
i
expected list
O
: The element at row
ij
ij ij
j
of the observed matrix
R R
E
: The element at row
ij
O O
ij ij
j
of the expected matrix
j=1 j=1
SS Fdf MSe SSe
/ = /
k
Σ
SSe n
2
= ( – 1)s
xi
i
i=1
k
Σ
Edf n
= ( – 1)
i
i=1
i
, column
i
, column
Edf