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If for each pair of functions f and g in F, f and g share the value 0 and f n f' and g n g' share a nonzero value a in D, then F is normal in D. In 2008, Zhang [10] obtained a criterion for normality of F in terms of the multiplicities of the zeros and poles of the functions in F and use it to improve Theorem 1.2 as follows.
The normality of the data was confirmed with a Shapiro-Wilk test the criterion for normality being W > 0.05.
Stothard et al. acknowledged using a stringent criterion for normality: "Children were regarded as having a good outcome only if they were essentially indistinguishable from controls" (p. 413).
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If data met the criteria for normality, independent t-tests were performed.
If data met the criteria for normality, independent t-tests were performed; otherwise Mann Whitney U tests were performed.
For data that did not meet the criteria for normality, logarithmic transformations were applied.
For data that did not meet the criteria for normality, natural logarithmic transformations were applied.
However, their measured hearing thresholds appear to be well within accepted criteria for normality.
The basic criteria for normality and homoscedasticity have been tested by the Shapiro-Francia and Bartlett's tests.
As the results met criteria for normality, all results are expressed as means and compared by t-tests.
A trend may be difficult to detect because different criteria for normality have been applied during the years.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com