Descriptive Statistics - Skewness and Peakedness (Kurtosis)

Descriptive Statistics - Skewness and Peakedness (Kurtosis) - Example

Data

Airline Data (°)

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ASCII Text or MS Excel 2000 Sheet.

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Output

+-----------------------------------------------------+
¦ SKPUND : SKEWNESS AND PEAKEDNESS 1 - UNGROUPED DATA ¦
+-----------------------------------------------------+

COEFFICIENT OF SKEWNESS                 COEFFICIENT OF KURTOSIS

FISHER   3rd Cent. Mom. :       .9860   FISHER   4th Cent. Mom. :      5.3235
         beta  1        :       .3330            beta  2        :      2.6062
         gamma 1        :       .5771            gamma 2        :      -.3938
         Standard Error :       .2041            Standard Error :       .4082
         Test Statistic :      2.8270            Test Statistic :      -.9645
         Probability    :       .0023            Probability    :       .8326

PEARSON 1               :       .4291
PEARSON 2               :       .3714
YULE                    :       .0526

SIMULTANEOUS TEST

Chi-Square Test Statistic Value :      8.9225
             Degrees of Freedom :           2
                    Probability :       .0115

Number of Observations          :         144

+-----------------------------------------------------+
¦ SKPUND : SKEWNESS AND PEAKEDNESS 2 - UNGROUPED DATA ¦
+-----------------------------------------------------+

COEFFICIENT OF SKEWNESS                 COEFFICIENT OF KURTOSIS

Coefficient    :       .5832            Coefficient    :      -.3649
Standard Error :       .2020            Standard Error :       .4014
Test Statistic :      2.8864            Test Statistic :      -.9091
Probability    :       .0019            Probability    :       .8183

SIMULTANEOUS TEST

Chi-Square Test Statistic Value :      9.1575
             Degrees of Freedom :           2
                    Probability :       .0103

Number of Observations          :         144

(°) Box, G.E. and Jenkins, G.M.

Time Series Analysis : Forecasting and Control

Holden Day, San Francisco, 1976, p. 531.

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