Raport de cercetare - Lorentz JÄNTSCHI

Metoda Formula intervalului de încredere
0 . 5
X ± z(
X(
n − X n)
) + c ,
Wald unde c=0(corectia standard);
c=0.5 (corectia la continuitate)
2
X + z
n ⋅
2
1 2
2 ± z(
z 4 + X(
1−
X n)
)
2
n + z
Wilson
Corecţia la continuitate:
2
2
X + z 2 − z(
( z −1
n ) 4 + X(
1−
( X −1)
n)
+ 1 2
n ⋅
2
n + z
2
2
X + z 2 + z(
( z −1
n ) 4 + X(
1−
( X −1)
n)
+ 1 2
n ⋅
2
n + z
sin ( arcsin X n z 2 n )
2
± sau 0 (X=0) sau 1 (X=1)
Corecţia la continuitate:
sin ( arcsin ( X 0.
5)
( n 3 4)
z 2 n )
2
ArcSin
± + ±
sin arcsin X 0.
5 n z 2 n
2
± ±
sin 2
( )
( )
( ( ) )
( X + 3 8 ± 0.
5)
n + 3 4 ± z 2
( arcsin
n + 0.
5)
1 2
1 2
2
2
2
2
( X + z 2)
( n + z − ( n ⋅ X + z 2)
)( n + z )
Agresti-
Coull
2
X + z
n ⋅
2 ± z
2
n + z
1 2
Logit
−1
⎡
1 2
⎛
⎞ ⎤
⎢ ⎜ X ⎛
⎞
⎜ ⎛ n ⎞
n ⋅ 1−
1+
exp ± z⎜
⎟ ⎟⎟
⎥ pentru 0