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If the distribution is not normal, the dependent variable will be treated as Poisson distributed or transformed to normal distributed using other transformations.
The frequency distribution in Fig. 1 indicates a rapidly decreasing tail and suggests that the distribution is not normal.
When the distribution is not normal, it is better to use median instead of mean to represent the location of the estimation and interquartile range instead of variance to measure the spread.
Unfortunately, the Dixon and/or Grubbs outlier test is not applicable because our distribution is not normal and the number of objects is too large (maximum number is 30 to 100 [2100.
In the second line, we considered results for FinG 2. In both cases, we could not reject the null hypothesis using the Mann-Whitney non-parametric test (notice that the distribution is not normal according to the Shapiro-Wilk test).
if skew > 2*sqrt(6/counthenhen the skew factor is significant (i.e. the distribution is not normal) and if skew < 2*sqrt(6/counthenhen it is non-significant (i.e. the distribution is normal).
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If the distribution isn't normal, the results are expressed by their medians (first third quartiles).
Continuous data are expressed as mean (standard deviation) if the data were normally distributed, or median (interquartile range) if the distribution was not normal.
Qualitative variables are expressed as the percentage distribution in each category, and quantitative variables are expressed as mean ± standard deviation in normally distributed variables or median (range) when the distribution was not normal.
Data are presented as mean ± SD for normally distributed data and as median (interquartile range) if the distribution was not normal.
Data are given as the mean ±1 standard deviation when normally distributed, as the median and interquartile range when the distribution was not normal or skewed, and as frequencies and percentages for categorical variables.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com