The effect of kurtosis on the power of two test statistics in covariance structure analysis.
We study the effect of excess kurtosis on the non-centrality parameters of the rescaled and the residual-based test statistics for covariance structure models. The analysis is based on population matrices and parameters, which eliminates the sampling variability inherent in simulation studies. We show that the non-centrality parameters, and consequently the asymptotic power, decrease as kurtosis in the data increases. Examples are provided to compare this decrease for the two test statistics, and to illustrate how substantial it is.
BI Norwegian School of Management, Oslo, Norway. njal.foldnes@bi.no
Njål
N
Foldnes
Ulf Henning
UH
Olsson
Tron
T
Foss
D003198:Computer Simulation / Q000706:statistics & numerical data; D003627:Data Interpretation, Statistical; D016014:Linear Models; D015233:Models, Statistical