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Such ecological bias may occur if a simple summary measure, such as a daily mean, is not a suitable summary of a spatially variable pollution surface.
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Pragmatically we would recommend Method 1 as the effect size ΔNormal is rather easier to quantify and interpret than the effect size pNoether required for sample size estimation using Method 2. If the HRQoL data have a symmetric distribution, the mean and median will tend to coincide so either measure is a suitable summary measure of location.
Unfortunately the choice of a suitable summary statistic is more complicated than would appear.
Scoring rules provide a suitable summary measure for the evaluation of probabilistic forecasts, by assigning a numerical score based on the posterior predictive distribution P and on the event y that materializes.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com