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If you could objectively plot quality against frequency, I'd put money on both groups showing a normal distribution with the graphs mostly overlapping.
For data not showing a normal distribution we used Wilcoxon-Mann–Whitney tests for statistical analysis.
Continuous variables showing a normal distribution are expressed as the mean and standard deviation.
Data showing a normal distribution were expressed with mean value ± standard deviation.
After showing a normal distribution, data were analyzed using repeated measurements analysis of variance (ANOVA) and Dunnett test.
Statistically significant differences were assessed by unpaired Student's t-test when data were showing a normal distribution, and by the Mann–Whitney test otherwise.
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All data sets showed a normal distribution, passing the Kolmogorov-Smirnov normality test at α = 0.05.
The standardised residuals showed a normal distribution (Range ~ [ 3.80; 4.80]), indicating that the normality assumptions underlying multiple regression were met (see Figure S6, in Additional file 1).
The Kolmogórov Smirnov test showed a normal distribution of the variables.
Exploration geochemical data very seldom show a normal distribution.
(2) The OpenStreetMap road diversity shows a normal distribution.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com