Casio FX-9750GII - Manual (Page 193)

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