THE “SCHEFFE TEST” AND THE “EFFECT SIZE” For further analysis of variability in Regional Ecological Aptitude within the European Union

Résumé

In climate change economics, several solutions could be applied to limit the harmful climate change effects: application of eco-taxation, increase in energy prices, rationing of fuel use. Are these solutions all equally effective regardless of the region or origin country? This essay focuses on a variability analysis of the efforts deployed for a “fair fight” against global warming within European Union. Among 5 countries, belonging to 5 different regions, we were able to detect a difference concerning the ecological suitability between 4 countries. These differences are due to the unbalanced proportions of two differences, one relative to the country and the other relative to the region. Since all the regions are normally endowed with the same means (financial and non-financial resources) to combat the effects of climate change, it was possible to detect the presence of a difference in the effectiveness of the action due to a difference between regions, within a country (between regions) and also to the existence of a difference due to the gap between countries. To do this, in addition to the use of the univariate statistical tool "ANOVA" (analysis of variance), we used two other concepts to complete this analysis, namely: the “Scheffe test” for making multiple comparisons and the concept of "effect size" also called "correlation ratio".