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In sensitivity analyses, we also consider the Gini index, the mean log deviation, and the Theil entropy index.
Other indicators were considered useful for sensitivity analyses (the Gini coefficient, mean log deviation, and the Theil entropy index).
In particular, inequality increased according to the mean log deviation, the Theil entropy index, Gini coefficient, and Atkinson index for ɛ = 0.5.
We apply the Atkinson index for our primary analysis, and we use the Gini coefficient, the mean log deviation, and the Theil entropy index for sensitivity analyses.
The mean log deviation is the average of the logarithm of the ratio between the mean health risk and the individual health risks x i.
The formulas for the four inequality indicators are listed below: Atkinson index where ɛ = inequality aversion (range from 0 to infinity), Gini index Mean log deviation and Theil entropy index Now suppose there were 10 geographic regions affected by a control strategy, with the baseline and postcontrol distributions of risk as presented in Table A1.
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To apply this method, we first computed the mean log intensity and the standard deviation for the replicated spots within each channel.
These functions show how log chlorophyll is affected by changing conditions; predicted log chlorophyll is computed as the mean −0.71 plus the deviations from mean log chlorophyll from each of the four functions in Fig. 1.
A lognormal distribution with (mean log) μ = 14.413319 and (standard deviation log) σ = 1.524961 was found to provide the best fit using AIC.
The bar plot shows the mean log F-ratio, error bars indicate standard deviation.
Data are expressed as mean ± standard deviation unless otherwise specified; Mean log T/S ratio of telomere length was 0.05 ± 0.25 (range −0.95 to 0.71).
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