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. Author manuscript; available in PMC: 2014 Jan 17.
Published in final edited form as: Multivariate Behav Res. 2013 Jan 17;47(6):840–876. doi: 10.1080/00273171.2012.732901

TABLE 4.

Univariate Skewness and Kurtosis of Observed Exogenous Variables (Excluding Product Indicators) in Different Conditions

Distribution Normal
Uniform
K1
K2
χ12
Average Skewness Average Kurtosis Average Skewness Average Kurtosis Average Skewness Average Kurtosis Average Skewness Average Kurtosis Average Skewness Average Kurtosis
Asymptotic Values 01 01 01 −0.6091 −0.0102 10.9672 −0.0302 31.0632 2.0121 6.0941
Sample Size
100 0.003 −0.001 0.000 −0.574 −0.007 3.345 0.030 5.684 1.821 4.492
200 0.000 0.001 0.000 −0.595 0.022 4.517 0.027 7.755 1.913 5.185
500 0.003 0.001 0.000 −0.600 −0.007 5.812 −0.038 10.502 1.967 5.654
1000 −0.001 0.001 0.000 −0.607 −0.033 7.218 −0.071 13.077 1.984 5.848
5000 0.000 0.000 0.000 −0.608 0.004 8.102 0.023 19.757 2.005 6.023

Note.

1

means theoretical values calculated based on Mattson (1997).

2

means simulation values calculated using one hundred randomly generated datasets of size 1,000,000.