# A Method for Assessing the Performance of e-Government Twitter Accounts
## 5 Findings  
The frequencies of the recorded ministries per country are as follows: England 6, Poland 4, Romania 2, Greece 6, Finland 3, Sweden 2, Latvia 6, Germany 3, Bulgaria 1, Spain 6, Ireland 3, Estonia 1, France 4, Belgium 2, Slovenia 1, Netherlands 4, and Italy 2. Three PCA are done, each one forced to produce one PC. Table 1 presents the factor loadings for the three applications. The factor scores of every PC summarize the three axes of activity/popularity and participation, respectively. All factor loadings are positive. Activity/popularity PC has a higher factor score when followers of the account are more, tweets are higher and effective reach is large. The centrality PC has high factor scores when centralities are high; that is, accounts are central and influential in the m/r networks. The community PC has higher factor scores when skewness is high and assortativity is also high; that is, when there is more evidence that small-worlds and homophily are apparent. These three PC scores are ranked in a descending order; the larger value is placed first. To ensure that conditions for calculating an overall rank are met, the correlation matrix of the three ranks is calculated using Spearman's rho (Table 2). All ranks are intercorrelated having positive and statistically significant correlation coefficients. Unidimentionality is ensured though a PCA which, without prior limitations, produces only one PC. Table 3 presents the factor loadings of this PC. Finally, [PERSON]'s alpha for the three ranks is equal to 0.725. Since it is greater than 0.70, internal consistency is ensured. After calculating Rankfinal and then ranking the final score, we can produce the final ranking of the 56 ministry accounts. This is equivalent to the Blogosphere Authority introduced by [PERSON] [59; 60] and could be named Twitter Authority Index. Table 4 presents the ranked accounts along with the partial ranks and Table 5 presents the original values in order to better understand the differentiations among the accounts. As mentioned in the methodology section, due to technical restrictions, the findings regarding some of the UK ministries should be read with caution because m/r networks are large and NodeXL do not provide the whole networks in cases like these. Instead, the l0,000 latest followers were recorded. In Table 4 the ministry of environment of Spain is placed second especially because of the ranks of centrality and community formation. It is not activity or popularity that distinguishes this network, but mainly community formation among followers. Several UK ministries are placed in the first places. \begin{table}
\begin{tabular}{c c} \hline \hline
**Activity and Popularity (Explained Variance 59\%)** & \\ \hline Followers (ego) divided by population & 0.852 \\ Famous words total effective reach divided by population & 0.701 \\ Tweets per day & 0.679 \\ Followers per day divided by population & 0.798 \\ Tweets & 0.782 \\ \hline
**Ego Centrality within the m/r Network (Explained Variance 76\%)** & \\ \hline m/r ego normalized in-degree & 0.872 \\ m/r ego normalized betweenness & 0.872 \\ \hline
**Community Formation in m/r Networks (Explained Variance 56\%)** & \\ \hline Skewness of the m/r network & 0.750 \\ Assortativity of the m/r network & 0.750 \\ \hline \hline \end{tabular}
\end{table} 
Table 1: Factor loadings of the three PCA which results to the three partial indexes. \begin{table}
\begin{tabular}{c c c} \hline \hline
**Ranks** & **Rank Activity** & **Rank Ego m/r Centrality** \\ \hline rank ego m/r centrality & 0.270 * & \\ rank community formation & 0.571 ** & 0.556 ** \\ \hline \hline \end{tabular}
\end{table} 
Table 2: [PERSON]’s correlation coefficients between pairs of the three ranks. \begin{table}
\begin{tabular}{c c} \hline \hline
**Ranks** & **Explained Variance 65\%** \\ \hline rank activity/popularity & 0.754 \\ rank ego m/r centrality & 0.753 \\ rank community formation & 0.898 \\ \hline \hline \end{tabular}
\end{table} 
Table 3: PCA resulting to one PC, to ensure unidimentionality of the three ranks.