Casio FX-9750GII Bedienungsanleitung Seite 194

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Seitenansicht 193
6-54
I Confidence Interval
Confidence Interval
Left: confidence interval lower limit (left edge)
Right: confidence interval upper limit (right edge)
1-Sample
Z Interval
 = o + ( /2) · /
'
α
2-Sample Z Interval
 = (o
1
o
2
) + ( /2) /
1
+ /
2
2
1
2
2
α
1-Prop Z Interval
Left, Right = x/n + Z( /2) 1/n · (x/n · (1 – x/n))
α
2-Prop Z Interval
Left, Right = (x
1
/n
1
x
2
/n
2
)
+ Z( /2) (x
1
/n
1
· (1 – x
1
/n
1
))/n
1
+ (x
2
/n
2
· (1 – x
2
/n
2
))/n
2
α
1-Sample t Interval
Left, Right = o + t
n−1
( /2) · s
x
/'n
α
2-Sample t Interval
(pooled)
Left, Right = (o
1
o
2
) + t
n
1
+n
2
−2
( /2) s
p
2
(1/n
1
+ 1/n
2
)
s
p
= ((n
1
– 1)s
x
1
2
+(n
2
– 1)s
x
2
2
)/(n
1
+ n
2
– 2)
α
2-Sample t Interval
(not pooled)
Left, Right = (o
1
o
2
) + t
df
( /2) 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))
α
C = (s
x
1
2
/n
1
)/(s
x
1
2
/n
1
+ s
x
2
2
/n
2
)
A
: level of significance
A
= 1 − [C-Level] C-Level: confidence level (0 C-Level 1)
Z(
A
/2): upper
A
/2 point of standard normal distribution
t
df
(
A
/2): upper
A
/2 point of t distribution with df degrees of freedom
I Distribution (Continuous)
Distribution Probability Density
Cumulative Distribution
Normal
Distribution

2
p(x) =
1
e
2
2
(x )
2
(

> 0)
p = p(x)dx
Upper
Lower
Student-t
Distribution
p(x) =
df
df+1
2
2
df
2
df +1
df
x
2
1+
C
2
Distribution
p(x) =
(x 0)
1
2
df
df
2
x
2
1
df
2
1
x
2
 e
F Distribution
ndf
2
x
ddf
ndf
ndf
2
1
ddf
ndf x
1+
ndf + ddf
2
p(x) =
2
ndf + ddf
2
ndf

2
ddf
(x 0)
Seitenansicht 193
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