Casio fx-CG50 User Manual download pdf (Page 271)

6-69

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

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

-2-Weg-Test

O

ij

: Das Element in Zeile i , Spalte

j der beobachteten Matrix

E

ij

: Das Element in Zeile i , Spalte

j der erwarteten Matrix

2-Stichproben-

F -Test

F = s

x

1

2

/s

x

2

2

ANOVA-Test

F = MS/MSe

SS

=

Σ

n

i

(o

i

− o)

2

MS = SS/Fdf MSe = SSe/Ed

f

i=1

k

Fdf = k − 1 Edf =

Σ

(n

i

– 1)

SSe =

Σ

(n

i

– 1)s

xi

2

i=1

k

i=1

k

χ

2

=

Σ

(O

i

− E

i

)

2

/E

i

i

k

χ

2

=

ΣΣ

(O

ij

− E

ij

)

2

/E

ij

i

k

j

R

E

ij

=

Σ

O

ij •

Σ

O

ij

/

Σ

Σ

O

i

j

i=1

k

i=1

k

j=1

R

j=1

R

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