# Expanding Moment Magnitude Pools for Earthquake Magnitude Homogenization
## 3 Results
### Indonesia
After hypothesis testing, the number increased to 4014, with contributions from NEIC, P&S, and MOS, the only sources that did not reject the null hypotheses for both regression slopes and intercepts, with more details shown in Table 3. The table shows that only the M\({}_{\rm W}\), M\({}_{\rm WB}\), and M\({}_{\rm WR}\) magnitude types from NEIC had significantly similar slopes and intercepts to a one-to-one line. Test results resulted in 6, 0, 3, 34, and 0 events being added from NEIC M\({}_{\rm WR}\), NEIC M\({}_{\rm WB}\), NEIC M\({}_{\rm W}\), Pacheco and Sykes [29], and MOS, respectively. Note that hypothesis testing suggested HRVD recorded moment magnitude events were significantly different from a one-to-one line. The resultant magnitude homogenization regressions for all surface wave magnitude types considered herein, i.e., M\({}_{\rm S,ISC}\), M\({}_{\rm S,NEIC}\), M\({}_{\rm S20,NEIC}\), M\({}_{\rm SZ,NEIC}\), are shown in Table 4. The results show little variation when considering different moment magnitude pools. Moreover, the M\({}_{\rm W,GCMT}\), M\({}_{\rm W,GCMT}\)-related, and M\({}_{\rm W,GCMT}\)-hypothesis pools ended up being comprised of the same events when paired with M\({}_{\rm S20,NEIC}\) earthquakes. Although regressions with M\({}_{\rm S20,NEIC}\) and M\({}_{\rm SZ,NEIC}\) resulted in the lowest \(\sigma\), they also used the fewest number of data points in their regressions. Interestingly, the regression results using M\({}_{\rm S,NEIC}\) and M\({}_{\rm S20,NEIC}\) were not significantly different, \(t\)(1461,0.05) = 1.962, \(p\) = 0.956 for the slope and \(p\) = 0.477 for the intercept, but were significantly different between M\({}_{\rm S,NEIC}\) and M\({}_{\rm SZ,NEIC}\), \(t\)(2005,0.05) = 1.962, \(p\) = 0.000 for the slope and \(p\) = 0.000 for the intercept. Similar \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline  & & & **Number of Events per Magnitude Type** & \\ \hline
**Agency** & **M\({}_{\rm W}\)1** & **M\({}_{\rm S}\)** & **m\({}_{\rm b}\)** & **M\({}_{\rm L}\)** & **M\({}_{\rm D}\)** & **M** \\ \hline DJA & 1239 & 27 & 11,486 & 30,980  & 3531 & 249 \\ EVBIB & 42 & 0 & 0 & 0 & 0 & 0 \\ GCMT & 3915 & 0 & 0 & 0 & 0 & 0 \\ HRVD & 944 & 0 & 0 & 0 & 0 & 0 \\ IPGP & 95 & 0 & 0 & 0 & 0 & 0 \\ ISC & 0 & 12,498 & 45,569 & 0 & 0 & 1 \\ ISC-GEM & 2779 & 0 & 0 & 0 & 0 & 0 \\ ISC-PPSM & 31 & 0 & 0 & 0 & 0 & 0 \\ NEIC & 1341 & 3538  & 351 & 249 \\ MOS & 16 & 3127 & 8677 & 0 & 0 & 167 \\ P\&S & 48 & 33 & 0 & 0 & 0 & 0 \\ \hline \hline \end{tabular}
\end{table} 
Table 2: Number of earthquakes by seismological agency and magnitude type for Indonesia. \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline \multirow{2}{*}{**Agency**} & **Number of** & **Slope,** & **Intercept,** & **Standard** & **t-Statistic** & \(p\)**-Value** & **Significantly** \\  & **Data Pairs** & **\(\beta_{1}\)** & **\(\beta_{0}\)** & **Deviation, \(\sigma\)** & \(\beta_{1}\)/\(\beta_{0}\)** & \(\beta_{1}\)/\(\beta_{0}\)** & **Different?** \\ \hline DJA M\({}_{\rm W}\) & 326 & 0.955 & 0.232 & 0.187 & 2.54/2.31 & 0.00/0.02 & Yes \\ DJA M\({}_{\rm W}\)P & 693 & 1.031 & \(-\)0.189 & 0.191 & 1.84/2.06 & 0.07/0.04 & Yes \\ HRVD & 938 & 0.990 & 0.041 & 0.032 & 4.84/3.75 & 0.00/0.00 & Yes \\ IPGP & 95 & 0.943 & 0.312 & 0.089 & 3.03/2.71 & 0.00/0.01 & Yes \\ ISC-PPSM & 30 & 1.235 & \(-\)1.760 & 0.146 & 2.83/3.35 & 0.01/0.00 & Yes \\ NEIC M\({}_{\rm W}\) & 811 & 0.991 & 0.071 & 0.123 & 1.07/1.42 & 0.29/0.16 & No \\ NEIC M\({}_{\rm W}\)P & 329 & 0.961 & 0.256 & 0.089 & 3.97/4.71 & 0.00/0.00 & Yes \\ NEIC M\({}_{\rm WC}\) & 19 & 0.914 & 0.547 & 0.041 & 3.38/3.35 & 0.00/0.00 & Yes \\ NEIC M\({}_{\rm WB}\) & 160 & 0.992 & 0.138 & 0.099 & 0.48/1.40 & 0.63/0.16 & No \\ NEIC M\({}_{\rm WR}\) & 5 & 0.865 & 0.771 & 0.044 & 2.15/2.46 & 0.12/0.09 & No \\ NEIC M\({}_{\rm W,all}\) & 1171 & 0.976 & 0.165 & 0.114 & 3.99/4.70 & 0.00/0.00 & Yes \\ MOS & 16 & 0.929 & 0.763 & 0.266 & 0.71/1.06 & 0.05/0.31 & No \\ P\&S & 14 & 0.799 & 1.576 & 0.262 & 1.16/1.21 & 0.27/0.25 & No \\ \hline \hline \end{tabular}
\end{table}