User Manual

6-59
s
p
........................................Zusammengefasste Standardabweichung
n ........................................Stichprobenumfang
n
1
........................................Umfang der Stichprobe 1
n
2
........................................Umfang der Stichprobe 2
df .......................................Freiheitsgrade
a .........................................Konstante
b .........................................Koeffizient
s
e
........................................Standardfehler
r .........................................Korrelationskoeffizient (der quasilinearen Regression)
r
2
........................................Bestimmtheitsmaß (der quasilinearen Regression)
Left .....................................untere Grenze des Konfidenzintervalls (linker Rand)
Right...................................obere Grenze des Konfidenzintervalls (rechter Rand)
9. Statistikformeln
k Test
Test
1-Stichproben
-Z -Test
z
= (o – μ
0
)/(σ/'n )
2-Stichproben -Z -Test
z
= (o
1
– o
2
)/ (σ /n
1
) + (σ /n
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-Stichproben- t -Test
t = (o – μ
0
)/(s
x
/'n )
2-Stichproben- t -Test
(zusammengefasst)
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-Stichproben- t -Test
(nicht zusammengefasst)
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
(Korrelationsanalyse)
t = r (n – 2)/(1 – r
2
)
b =
Σ
(x
i
– o)(y
i
– p)/
Σ
(x
i
– o)
2
a = p – bo
i=1
n
i=1
n
χ
2
-GOF-Test
O
i
: Das i -te Element der
beobachteten Liste
E
i
: Das i -te Element der erwarteten
Liste
χ
2
=
Σ
(O
i
− E
i
)
2
/E
i
i
k