| Correlations for all pairs of data series (method=kendall) | ||||||||||
| Pop | Gender | Happiness | Depression | I1 | I2 | I3 | E1 | E2 | E3 | |
| Pop | 1 | -0.047 | 0.024 | -0.018 | 0.041 | 0.077 | -0.026 | 0.086 | 0.088 | 0.13 |
| Gender | -0.047 | 1 | 0.064 | 0.052 | -0.116 | -0.216 | 0.04 | 0.032 | -0.025 | 0.053 |
| Happiness | 0.024 | 0.064 | 1 | -0.372 | -0.007 | -0.052 | -0.018 | 0.064 | 0.011 | -0.006 |
| Depression | -0.018 | 0.052 | -0.372 | 1 | 0.008 | -0.063 | 0.003 | -0.024 | -0.03 | 0.081 |
| I1 | 0.041 | -0.116 | -0.007 | 0.008 | 1 | 0.442 | 0.385 | 0.378 | 0.205 | 0.116 |
| I2 | 0.077 | -0.216 | -0.052 | -0.063 | 0.442 | 1 | 0.333 | 0.22 | 0.381 | 0.022 |
| I3 | -0.026 | 0.04 | -0.018 | 0.003 | 0.385 | 0.333 | 1 | 0.192 | 0.165 | -0.009 |
| E1 | 0.086 | 0.032 | 0.064 | -0.024 | 0.378 | 0.22 | 0.192 | 1 | 0.175 | 0.324 |
| E2 | 0.088 | -0.025 | 0.011 | -0.03 | 0.205 | 0.381 | 0.165 | 0.175 | 1 | 0.182 |
| E3 | 0.13 | 0.053 | -0.006 | 0.081 | 0.116 | 0.022 | -0.009 | 0.324 | 0.182 | 1 |
| Correlations for all pairs of data series with p-values | |||
| pair | Pearson r | Spearman rho | Kendall tau |
| Pop;Gender | -0.0472 | -0.0472 | -0.0472 |
| p-value | (0.5508) | (0.5508) | (0.5491) |
| Pop;Happiness | -0.0145 | 0.0279 | 0.0242 |
| p-value | (0.8543) | (0.7243) | (0.7231) |
| Pop;Depression | -0.0292 | -0.021 | -0.018 |
| p-value | (0.7118) | (0.791) | (0.7901) |
| Pop;I1 | 0.028 | 0.0487 | 0.0413 |
| p-value | (0.7234) | (0.5385) | (0.5369) |
| Pop;I2 | 0.0643 | 0.0913 | 0.0771 |
| p-value | (0.4166) | (0.248) | (0.2467) |
| Pop;I3 | -0.0278 | -0.0307 | -0.0258 |
| p-value | (0.7251) | (0.6982) | (0.697) |
| Pop;E1 | 0.0899 | 0.101 | 0.0864 |
| p-value | (0.2554) | (0.2011) | (0.2002) |
| Pop;E2 | 0.0882 | 0.1041 | 0.0881 |
| p-value | (0.2644) | (0.1873) | (0.1864) |
| Pop;E3 | 0.1379 | 0.153 | 0.1302 |
| p-value | (0.0801) | (0.052) | (0.0523) |
| Gender;Happiness | 0.0454 | 0.0742 | 0.0642 |
| p-value | (0.5666) | (0.3481) | (0.3465) |
| Gender;Depression | 0.0555 | 0.0612 | 0.0525 |
| p-value | (0.4833) | (0.4394) | (0.4377) |
| Gender;I1 | -0.1209 | -0.1365 | -0.1158 |
| p-value | (0.1253) | (0.0833) | (0.0833) |
| Gender;I2 | -0.2643 | -0.2557 | -0.2159 |
| p-value | (7e-04) | (0.001) | (0.0012) |
| Gender;I3 | 0.0458 | 0.0471 | 0.0396 |
| p-value | (0.5626) | (0.5518) | (0.5502) |
| Gender;E1 | 0.0254 | 0.0369 | 0.0316 |
| p-value | (0.7481) | (0.6408) | (0.6393) |
| Gender;E2 | -0.0486 | -0.0293 | -0.0248 |
| p-value | (0.5392) | (0.7117) | (0.7104) |
| Gender;E3 | 0.0427 | 0.0625 | 0.0532 |
| p-value | (0.5891) | (0.4293) | (0.4276) |
| Happiness;Depression | -0.5442 | -0.4738 | -0.3724 |
| p-value | (0) | (0) | (0) |
| Happiness;I1 | -0.0326 | -0.0074 | -0.0075 |
| p-value | (0.6806) | (0.9252) | (0.8971) |
| Happiness;I2 | -0.0528 | -0.0731 | -0.0525 |
| p-value | (0.5045) | (0.3553) | (0.3626) |
| Happiness;I3 | -0.0065 | -0.0265 | -0.018 |
| p-value | (0.935) | (0.7378) | (0.7535) |
| Happiness;E1 | 0.0542 | 0.0822 | 0.0635 |
| p-value | (0.4931) | (0.2984) | (0.2771) |
| Happiness;E2 | 0.0087 | 0.0137 | 0.0106 |
| p-value | (0.9129) | (0.8626) | (0.8543) |
| Happiness;E3 | -0.0193 | -0.0064 | -0.0062 |
| p-value | (0.8079) | (0.9356) | (0.9145) |
| Depression;I1 | 0.0377 | 0.0123 | 0.0085 |
| p-value | (0.6335) | (0.8765) | (0.8824) |
| Depression;I2 | -0.0517 | -0.0899 | -0.0633 |
| p-value | (0.5134) | (0.2554) | (0.2679) |
| Depression;I3 | -0.0275 | 0.0039 | 0.003 |
| p-value | (0.7286) | (0.9611) | (0.958) |
| Depression;E1 | -0.0281 | -0.0352 | -0.0239 |
| p-value | (0.7223) | (0.6562) | (0.68) |
| Depression;E2 | 0.0119 | -0.0405 | -0.0304 |
| p-value | (0.8809) | (0.6086) | (0.5951) |
| Depression;E3 | 0.1133 | 0.1077 | 0.0806 |
| p-value | (0.1513) | (0.1727) | (0.1616) |
| I1;I2 | 0.5992 | 0.5852 | 0.4418 |
| p-value | (0) | (0) | (0) |
| I1;I3 | 0.5207 | 0.5018 | 0.3854 |
| p-value | (0) | (0) | (0) |
| I1;E1 | 0.4571 | 0.5076 | 0.3779 |
| p-value | (0) | (0) | (0) |
| I1;E2 | 0.2385 | 0.2688 | 0.2047 |
| p-value | (0.0022) | (5e-04) | (3e-04) |
| I1;E3 | 0.1362 | 0.1478 | 0.1162 |
| p-value | (0.0839) | (0.0606) | (0.0415) |
| I2;I3 | 0.4452 | 0.44 | 0.3331 |
| p-value | (0) | (0) | (0) |
| I2;E1 | 0.2605 | 0.3057 | 0.2201 |
| p-value | (8e-04) | (1e-04) | (1e-04) |
| I2;E2 | 0.5616 | 0.5005 | 0.3812 |
| p-value | (0) | (0) | (0) |
| I2;E3 | -0.0094 | 0.0291 | 0.0222 |
| p-value | (0.9058) | (0.7132) | (0.6956) |
| I3;E1 | 0.2411 | 0.2578 | 0.1921 |
| p-value | (0.002) | (9e-04) | (7e-04) |
| I3;E2 | 0.2504 | 0.2241 | 0.1653 |
| p-value | (0.0013) | (0.0041) | (0.0033) |
| I3;E3 | 0.0402 | -0.0096 | -0.0092 |
| p-value | (0.6116) | (0.9035) | (0.8702) |
| E1;E2 | 0.1678 | 0.2423 | 0.1748 |
| p-value | (0.0329) | (0.0019) | (0.0022) |
| E1;E3 | 0.416 | 0.4224 | 0.3239 |
| p-value | (0) | (0) | (0) |
| E2;E3 | 0.1444 | 0.254 | 0.1824 |
| p-value | (0.0667) | (0.0011) | (0.0013) |
