Casio fx-9860G Slim Manual De Usuario
6-53
9. Statistic Formula
I Test
Test
1-Sample
Z
Test
= (
o
–
0
)/(
/
'
)
2-Sample
Z
Test
= (
o
1
–
o
2
)/ (
/
1
) + (
/
2
)
2
1
2
2
1-Prop
Z
Test
z
= (
x
/
n
–
p
0
)/
p
0
(1 –
p
0
)/
n
2-Prop
Z
Test
z
= (
x
1
/
n
1
–
x
2
/
n
2
)/
pˆ
(1 –
pˆ
)(1/
n
1
+ 1/
n
2
)
1-Sample
t
Test
= (
o
–
0
)/(s
/
'
)
2-Sample
t
Test (pooled)
t
= (
o
1
–
o
2
)/ s
p
2
(1/
n
1
+ 1/
n
2
)
df
=
n
1
+
n
2
− 2
s
p
= ((
n
1
– 1)s
x
1
2
+ (
n
2
– 1)s
x
2
2
)/(
n
1
+
n
2
– 2)
2-Sample
t
Test (not pooled)
t
= (
o
1
–
o
2
)/ s
x
1
2
/
n
1
+ s
x
2
2
/
n
2
C
= (s
x
1
2
/
n
1
)/(s
x
1
2
/
n
1
+ s
x
2
2
/
n
2
)
df
= 1/(C
2
/(
n
1
– 1) + (1 – C )
2
/(
n
2
– 1))
LinearReg
t
Test
t
=
r
(
n
– 2)/(1 –
r
2
)
b
=
(
x
i
–
o
)(
y
i
–
p
)/
(
x
i
–
o
)
2
a
=
p
–
b
o
i=1
n
i=1
n
C
2
GOF Test
O
i
: The
i
-th element of the observed
list
E
i
: The
i
-th element of the expected
list
C
2
two-way Test
O
ij
: The element at row
i
, column
j
of
the observed matrix
E
ij
: The element at row
i
, column
j
of
the expected matrix
2-Sample
F
Test
F
= s
x
1
2
/s
x
2
2
ANOVA Test
F
=
MS
/
MSe
SS
=
n
i
(
o
i
−
o
)
2
MS
=
SS
/
Fdf
MSe
=
SSe
/
Edf
i=1
k
Fdf
=
k
− 1
Edf
=
(
n
i
– 1)
SSe
=
(
n
i
– 1)s
xi
2
i=1
k
i=1
k
2
=
(
O
i
−
E
i
)
2
/
E
i
i
k
2
=
(
O
i
−
E
i
)
2
/
E
i
i
k
2
=
(
O
ij
−
E
ij
)
2
/
E
ij
i
k
j
R
E
ij
=
x
ij
•
x
ij
/
n
i=1
k
j=1
R
2
=
(
O
ij
−
E
ij
)
2
/
E
ij
i
k
j
R
E
ij
=
x
ij
•
x
ij
/
n
i=1
k
j=1
R