1. Home
  2. More Summary Statistics

More Summary Statistics

Provides additional statistics to be calculated for summarizing group data.

Options

You can choose one or more of the following statistics to be calculated:

Standard error of mean Standard error of skewness
Skewness Standard error of kurtosis
Kurtosis  

Method

 

Unweighted

Weighted

Skewness

Σ(x – (Σx/n))3
/ ( Σ(x – (Σx/n))2 )3/2
Σ w (x – (Σwxw))3
/ ( Σ w (x – (Σwxw))2 )3/2

 

Kurtosis

Σ(x – (Σx/n))4
/ ( Σ(x – (Σx/n))2 )2 – 3
Σ w (x – (Σwxw))4
/ Σ w (x – (Σwxw))2 )2 – 3

 

s.e. skewness

√( { 6n * (n-1) }
/ { (n-2) * (n+1) * (n+3) } )

 

√( { 6Σw * (Σw – 1) }
/ { (Σw – 2) * (Σw + 1) *
    (Σw + 3) } )
(x not missing)

 

s.e. kurtosis

√( { 24 * n * (n-1)2 }
/ { (n-2) * (n-3) * (n+5) *
  (n+3) } )

 

√( { 24 * Σw * (Σw – 1)2 }
/ { (Σw – 2) * (Σw – 3) *
    (Σw + 5) * (Σw + 3) } )
(x not missing)

 

See also

Updated on March 27, 2019

Was this article helpful?