Descriptive statistics skewness, distribution

The descriptive statistics for the mFSMAS and RTOP items are given in Appendices A and B, respectively. The item numbers correspond to their appearance in the instruments and are used in the same fashion in all relevant tables. The mean values reported in Appendices A and B are on the basis of unstandardized scores (i.e., raw scores of the Likert scales). The descriptive statistics shown on these tables are used as references for all items in order to identify the item-based distributions—whether they are close to normal distribution or not. Items within the range of 2.5 skewness and kurtosis values were kept for further parametric analyses. As a descriptive conclusion, mFSMAS items 22, 23, and 24 and RTOP item 8 were omitted from further analyses because these items deviate too much from the normality condition. 

In contrast to the large variety of averages and measures of dispersion prevalent in the literature, the number of basic distributions which have proved useful is relatively small. In droplet statistics, the best known distributions include the normal, log-normal, Rosin-Rammler, and Nukiyama-Tanasawa distributions. The normal distribution often gives a satisfactory representation where the droplets are produced by condensation, precipitation, or by chemical processes. The log-normal and Nukiyama-Tanasawa distributions often yield adequate descriptions of the drop-size distributions of sprays produced by atomization of liquids in air. The Rosin-Rammler distribution has been successfully applied to size distribution resulting from grinding, and may sometimes be fitted to data that are too skewed to be fitted with a log-normal distribution. 

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