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Senin, 14 Januari 2013

Statistika 1** - Skewnes dan Kurtosis


SKEWNESS

Skewness : ukuran ketidaksimetrisan (kemen-cengan)distribusi. Distribusi yang ekor kurvanya lebihpanjang kekanan disebut menceng kekanan atau
positive skewness . Begitu juga sebaliknya.

 

KOEF. SKEWNESS
•Koef. Pearson I:
                         

•Koef. Pearson II:


Diperhatikan bila distribusinya normal makakoefisien skewness bernilai nol.

Koefisien skewness lainnya: 
•koef. kuartil skewness: 
 

•koef. skewness 10-90% percentile: 

               

•koef.moment skewness: 


•Formula skewness pada excel:

                                    n/(n-1) (n-2) S ( xj - x / s)3
KURTOSIS

Kurtosis adalah Ukuran kelancipan distribusi data dimanadistribusi normal sebagai pembanding.

•Macam-macam ukuran kurtosis:
 –koef. moment kurtosis:

 

–kurtosis terhadap kuartil dan percentil:


 –pada excel:

 {n(n + 1) / (n -1) (n - 2) (n - 3) S (xi - x / s )4} –

–kurtosis positif ® distribusi lancip
 –kurtosis negatif ® distribusi tumpul