Main Analaysis:

Supplementary: Parent Job Prestige

Supplementary: Postcode age 16

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0.1 At least One Campus in Proximity

Unconditioned

log odds se (lower upper) missInfo
(Intercept) -0.310 0.088 -0.483 -0.138 0 %
At least one campus 0.252 0.109 0.039 0.466 0 %

No Interaction

log odds se (lower upper) missInfo
(Intercept) -3.679 0.300 -4.268 -3.089 7 %
At least one campus 0.086 0.124 -0.157 0.329 1 %
Math Achievement 0.001 0.001 -0.001 0.003 19 %
Reading Achievement 0.002 0.001 0.000 0.005 56 %
Science Achievement 0.002 0.001 -0.001 0.005 64 %
Index of Educational and Occupational Level 0.092 0.057 -0.019 0.203 1 %
Job Prestige 0.052 0.032 -0.011 0.114 1 %
Indigenous -0.162 0.190 -0.535 0.211 1 %
gender -0.222 0.090 -0.400 -0.044 10 %
State:NSW 0.367 0.136 0.102 0.633 0 %
State:VIC 0.744 0.135 0.479 1.008 0 %
State:QLD 1.061 0.142 0.783 1.339 1 %
State:SA 0.680 0.149 0.387 0.973 1 %
State:WA 0.942 0.151 0.645 1.239 1 %
State:NT 0.538 0.190 0.167 0.910 0 %

Interaction

log odds se (lower upper) missInfo
(Intercept) -3.660 0.301 -4.250 -3.069 7 %
At least one campus 0.062 0.130 -0.192 0.316 1 %
Math Achievement 0.001 0.001 -0.001 0.003 19 %
Reading Achievement 0.002 0.001 0.000 0.005 56 %
Science Achievement 0.002 0.001 -0.001 0.005 65 %
Index of Educational and Occupational Level 0.096 0.057 -0.015 0.207 1 %
Job Prestige 0.101 0.067 -0.031 0.233 1 %
Indigenous -0.227 0.361 -0.935 0.480 1 %
gender -0.219 0.090 -0.397 -0.041 11 %
State:NSW 0.367 0.135 0.102 0.632 0 %
State:VIC 0.744 0.135 0.480 1.008 0 %
State:QLD 1.063 0.142 0.786 1.341 1 %
State:SA 0.683 0.149 0.391 0.975 1 %
State:WA 0.945 0.151 0.649 1.241 1 %
State:NT 0.536 0.189 0.165 0.906 0 %
At least one campus:Job Prestige -0.066 0.074 -0.211 0.080 1 %
At least one campus:Indigenous 0.125 0.453 -0.764 1.013 1 %

0.2 At Least One Elite Campus in Proximity

Unconditioned

log odds se (lower upper) missInfo
(Intercept) -0.214 0.052 -0.316 -0.112 0 %
At least one elite campus 0.207 0.082 0.047 0.367 0 %

No Interaction

log odds se (lower upper) missInfo
(Intercept) -3.637 0.289 -4.204 -3.070 9 %
At least one elite campus 0.044 0.112 -0.175 0.263 1 %
Math Achievement 0.001 0.001 -0.001 0.003 19 %
Reading Achievement 0.003 0.001 0.000 0.005 55 %
Science Achievement 0.002 0.001 -0.001 0.005 64 %
Index of Educational and Occupational Level 0.095 0.063 -0.029 0.219 0 %
Job Prestige 0.053 0.032 -0.010 0.115 1 %
Indigenous -0.174 0.194 -0.555 0.206 1 %
gender -0.220 0.091 -0.399 -0.041 10 %
State:NSW 0.369 0.136 0.102 0.635 0 %
State:VIC 0.744 0.136 0.477 1.011 0 %
State:QLD 1.065 0.141 0.788 1.342 1 %
State:SA 0.677 0.153 0.377 0.977 1 %
State:WA 0.952 0.154 0.649 1.254 1 %
State:NT 0.559 0.192 0.183 0.936 0 %

Interaction

log odds se (lower upper) missInfo
(Intercept) -3.615 0.288 -4.180 -3.051 9 %
At least one elite campus 0.025 0.113 -0.196 0.245 1 %
Math Achievement 0.001 0.001 -0.001 0.003 19 %
Reading Achievement 0.003 0.001 0.000 0.005 55 %
Science Achievement 0.002 0.001 -0.001 0.005 64 %
Index of Educational and Occupational Level 0.103 0.063 -0.020 0.227 0 %
Job Prestige 0.097 0.047 0.005 0.189 1 %
Indigenous -0.221 0.233 -0.678 0.235 1 %
gender -0.218 0.091 -0.397 -0.040 10 %
State:NSW 0.373 0.135 0.108 0.637 0 %
State:VIC 0.743 0.135 0.478 1.008 0 %
State:QLD 1.066 0.141 0.791 1.342 1 %
State:SA 0.682 0.153 0.382 0.982 1 %
State:WA 0.949 0.153 0.650 1.248 1 %
State:NT 0.548 0.191 0.173 0.923 0 %
At least one elite campus:Job Prestige -0.100 0.065 -0.228 0.027 0 %
At least one elite campus:Indigenous 0.248 0.327 -0.393 0.889 2 %

0.3 Number of Universities in Proximity

Unconditioned

log odds se (lower upper) missInfo
(Intercept) -0.192 0.048 -0.286 -0.098 0 %
Number of Campuses 0.009 0.004 0.001 0.017 0 %

No Interaction

log odds se (lower upper) missInfo
(Intercept) -3.582 0.274 -4.121 -3.044 10 %
Number of Campuses 0.007 0.006 -0.005 0.019 0 %
Math Achievement 0.001 0.001 -0.001 0.003 19 %
Reading Achievement 0.002 0.001 0.000 0.005 54 %
Science Achievement 0.002 0.001 -0.001 0.005 63 %
Index of Educational and Occupational Level 0.055 0.071 -0.083 0.193 1 %
Job Prestige 0.054 0.032 -0.009 0.117 1 %
Indigenous -0.180 0.195 -0.561 0.201 1 %
gender -0.223 0.091 -0.402 -0.044 10 %
State:NSW 0.254 0.163 -0.066 0.574 0 %
State:VIC 0.643 0.169 0.311 0.975 0 %
State:QLD 0.981 0.161 0.665 1.297 0 %
State:SA 0.601 0.169 0.270 0.932 0 %
State:WA 0.891 0.153 0.590 1.192 0 %
State:NT 0.493 0.192 0.117 0.869 0 %

Interaction

log odds se (lower upper) missInfo
(Intercept) -3.582 0.276 -4.124 -3.039 10 %
Number of Campuses 0.007 0.006 -0.006 0.019 0 %
Math Achievement 0.001 0.001 -0.001 0.003 19 %
Reading Achievement 0.002 0.001 0.000 0.005 54 %
Science Achievement 0.002 0.001 -0.001 0.005 63 %
Index of Educational and Occupational Level 0.055 0.070 -0.083 0.192 1 %
Job Prestige 0.064 0.040 -0.015 0.143 1 %
Indigenous -0.249 0.220 -0.680 0.182 1 %
gender -0.222 0.091 -0.401 -0.044 10 %
State:NSW 0.258 0.162 -0.060 0.576 0 %
State:VIC 0.646 0.169 0.314 0.978 0 %
State:QLD 0.985 0.161 0.669 1.301 0 %
State:SA 0.603 0.169 0.272 0.935 0 %
State:WA 0.896 0.153 0.596 1.196 0 %
State:NT 0.495 0.192 0.119 0.872 0 %
Number of Campuses:Job Prestige -0.001 0.003 -0.007 0.004 1 %
Number of Campuses:Indigenous 0.023 0.022 -0.020 0.067 0 %

Polynomial: Unconditioned

log odds se (lower upper) missInfo
(Intercept) -0.262 0.062 -0.383 -0.141 0 %
Number of Campuses 0.042 0.016 0.010 0.074 0 %
Number of Campuses^2 -0.001 0.000 -0.002 0.000 0 %

Polynomial: No Interaction

log odds se (lower upper) missInfo
(Intercept) -3.589 0.287 -4.152 -3.025 9 %
Number of Campuses 0.009 0.022 -0.034 0.053 1 %
Number of Campuses^2 0.000 0.001 -0.001 0.001 1 %
Math Achievement 0.001 0.001 -0.001 0.003 19 %
Reading Achievement 0.002 0.001 0.000 0.005 54 %
Science Achievement 0.002 0.001 -0.001 0.005 64 %
Index of Educational and Occupational Level 0.052 0.080 -0.105 0.208 1 %
Job Prestige 0.054 0.032 -0.009 0.116 1 %
Indigenous -0.178 0.195 -0.561 0.205 1 %
gender -0.222 0.091 -0.401 -0.043 10 %
State:NSW 0.255 0.162 -0.062 0.572 0 %
State:VIC 0.639 0.174 0.299 0.980 0 %
State:QLD 0.978 0.166 0.652 1.303 0 %
State:SA 0.595 0.181 0.241 0.950 1 %
State:WA 0.892 0.152 0.594 1.189 0 %
State:NT 0.493 0.192 0.117 0.870 0 %

Polynomial: Interaction

log odds se (lower upper) missInfo
(Intercept) -3.578 0.286 -4.140 -3.015 9 %
Number of Campuses 0.009 0.022 -0.035 0.052 1 %
Number of Campuses^2 0.000 0.001 -0.001 0.001 1 %
Math Achievement 0.001 0.001 -0.001 0.003 20 %
Reading Achievement 0.002 0.001 0.000 0.005 55 %
Science Achievement 0.002 0.001 -0.001 0.005 66 %
Index of Educational and Occupational Level 0.057 0.079 -0.097 0.212 1 %
Job Prestige 0.094 0.049 -0.003 0.191 2 %
Indigenous -0.245 0.260 -0.754 0.264 1 %
gender -0.222 0.091 -0.401 -0.044 10 %
State:NSW 0.266 0.160 -0.047 0.579 0 %
State:VIC 0.651 0.173 0.312 0.989 0 %
State:QLD 0.989 0.166 0.664 1.313 0 %
State:SA 0.608 0.182 0.251 0.964 1 %
State:WA 0.900 0.150 0.606 1.195 0 %
State:NT 0.496 0.192 0.119 0.873 0 %
Number of Campuses:Job Prestige -0.016 0.013 -0.041 0.009 1 %
Number of Campuses:Indigenous 0.022 0.082 -0.139 0.182 1 %
Number of Campuses^2:Job Prestige 0.000 0.000 0.000 0.001 1 %
Number of Campuses^2:Indigenous 0.000 0.002 -0.004 0.004 1 %

0.4 Number of Elite Universities in Proximity

Unconditioned

log odds se (lower upper) missInfo
(Intercept) -0.151 0.044 -0.238 -0.065 0 %
Number of Elite Campuses 0.020 0.018 -0.015 0.054 0 %

No Interaction

log odds se (lower upper) missInfo
(Intercept) -3.604 0.276 -4.147 -3.061 10 %
Number of Elite Campuses 0.010 0.023 -0.035 0.054 0 %
Math Achievement 0.001 0.001 -0.001 0.003 18 %
Reading Achievement 0.003 0.001 0.000 0.005 54 %
Science Achievement 0.002 0.001 -0.001 0.004 63 %
Index of Educational and Occupational Level 0.092 0.058 -0.023 0.206 1 %
Job Prestige 0.053 0.032 -0.009 0.116 1 %
Indigenous -0.179 0.193 -0.558 0.200 1 %
gender -0.223 0.091 -0.402 -0.045 10 %
State:NSW 0.329 0.156 0.022 0.636 0 %
State:VIC 0.721 0.144 0.439 1.003 0 %
State:QLD 1.041 0.149 0.748 1.333 0 %
State:SA 0.663 0.155 0.359 0.966 1 %
State:WA 0.929 0.150 0.635 1.223 0 %
State:NT 0.530 0.188 0.162 0.897 0 %

Interaction

log odds se (lower upper) missInfo
(Intercept) -3.604 0.278 -4.150 -3.059 10 %
Number of Elite Campuses 0.010 0.023 -0.035 0.055 0 %
Math Achievement 0.001 0.001 -0.001 0.003 19 %
Reading Achievement 0.003 0.001 0.000 0.005 54 %
Science Achievement 0.002 0.001 -0.001 0.004 63 %
Index of Educational and Occupational Level 0.091 0.058 -0.023 0.205 1 %
Job Prestige 0.067 0.038 -0.007 0.140 2 %
Indigenous -0.230 0.209 -0.640 0.181 1 %
gender -0.222 0.091 -0.400 -0.044 10 %
State:NSW 0.335 0.156 0.029 0.641 0 %
State:VIC 0.724 0.144 0.442 1.006 0 %
State:QLD 1.046 0.150 0.753 1.339 0 %
State:SA 0.666 0.155 0.362 0.970 1 %
State:WA 0.934 0.150 0.640 1.228 0 %
State:NT 0.534 0.188 0.166 0.902 0 %
Number of Elite Campuses:Job Prestige -0.009 0.011 -0.031 0.013 1 %
Number of Elite Campuses:Indigenous 0.080 0.076 -0.068 0.229 0 %

Polynomial: Unconditioned

log odds se (lower upper) missInfo
(Intercept) -0.203 0.048 -0.297 -0.109 0 %
Number of Elite Campuses 0.135 0.054 0.028 0.242 1 %
Number of Elite Campuses^2 -0.012 0.006 -0.025 0.000 1 %

Polynomial: No Interaction

log odds se (lower upper) missInfo
(Intercept) -3.601 0.281 -4.152 -3.049 10 %
Number of Elite Campuses 0.002 0.071 -0.137 0.141 1 %
Number of Elite Campuses^2 0.001 0.007 -0.013 0.015 1 %
Math Achievement 0.001 0.001 -0.001 0.003 18 %
Reading Achievement 0.003 0.001 0.000 0.005 55 %
Science Achievement 0.002 0.001 -0.001 0.004 63 %
Index of Educational and Occupational Level 0.095 0.070 -0.042 0.231 1 %
Job Prestige 0.054 0.032 -0.009 0.116 1 %
Indigenous -0.180 0.195 -0.562 0.202 1 %
gender -0.224 0.091 -0.404 -0.045 10 %
State:NSW 0.330 0.156 0.023 0.636 0 %
State:VIC 0.725 0.157 0.418 1.032 0 %
State:QLD 1.044 0.156 0.737 1.350 0 %
State:SA 0.665 0.161 0.350 0.981 1 %
State:WA 0.929 0.148 0.639 1.219 0 %
State:NT 0.528 0.186 0.163 0.894 0 %

Polynomial: Interaction

log odds se (lower upper) missInfo
(Intercept) -3.598 0.280 -4.148 -3.048 11 %
Number of Elite Campuses 0.001 0.072 -0.140 0.142 1 %
Number of Elite Campuses^2 0.001 0.007 -0.013 0.015 1 %
Math Achievement 0.001 0.001 -0.001 0.003 19 %
Reading Achievement 0.003 0.001 0.000 0.005 55 %
Science Achievement 0.002 0.001 -0.001 0.004 64 %
Index of Educational and Occupational Level 0.096 0.069 -0.040 0.232 1 %
Job Prestige 0.075 0.046 -0.014 0.165 1 %
Indigenous -0.240 0.228 -0.686 0.206 1 %
gender -0.223 0.091 -0.402 -0.044 10 %
State:NSW 0.339 0.156 0.034 0.644 0 %
State:VIC 0.732 0.157 0.423 1.040 0 %
State:QLD 1.052 0.157 0.744 1.360 0 %
State:SA 0.672 0.162 0.354 0.989 1 %
State:WA 0.936 0.147 0.647 1.225 0 %
State:NT 0.533 0.187 0.166 0.900 0 %
Number of Elite Campuses:Job Prestige -0.029 0.048 -0.122 0.065 0 %
Number of Elite Campuses:Indigenous 0.148 0.290 -0.421 0.717 3 %
Number of Elite Campuses^2:Job Prestige 0.002 0.005 -0.007 0.012 0 %
Number of Elite Campuses^2:Indigenous -0.007 0.029 -0.063 0.049 4 %

0.5 Log Distance to Nearest University Campus

Unconditioned

log odds se (lower upper) missInfo
(Intercept) 0.937 0.306 0.338 1.537 0 %
log distance to campus -0.116 0.033 -0.181 -0.051 0 %

No Interaction

log odds se (lower upper) missInfo
(Intercept) -2.882 0.443 -3.751 -2.014 5 %
log distance to campus -0.078 0.039 -0.154 -0.002 1 %
Math Achievement 0.001 0.001 -0.001 0.003 20 %
Reading Achievement 0.002 0.001 0.000 0.005 53 %
Science Achievement 0.002 0.001 -0.001 0.005 62 %
Index of Educational and Occupational Level 0.058 0.057 -0.053 0.170 1 %
Job Prestige 0.052 0.032 -0.012 0.115 2 %
Indigenous -0.093 0.183 -0.451 0.265 1 %
gender -0.228 0.091 -0.407 -0.049 10 %
State:NSW 0.341 0.138 0.069 0.612 0 %
State:VIC 0.712 0.135 0.448 0.976 0 %
State:QLD 1.041 0.143 0.762 1.321 1 %
State:SA 0.647 0.154 0.346 0.948 0 %
State:WA 0.922 0.153 0.623 1.221 0 %
State:NT 0.425 0.207 0.020 0.830 2 %

Interaction

log odds se (lower upper) missInfo
(Intercept) -2.900 0.457 -3.796 -2.005 6 %
log distance to campus -0.075 0.041 -0.155 0.005 1 %
Math Achievement 0.001 0.001 -0.001 0.003 21 %
Reading Achievement 0.002 0.001 0.000 0.005 53 %
Science Achievement 0.002 0.001 -0.001 0.005 62 %
Index of Educational and Occupational Level 0.059 0.057 -0.054 0.171 1 %
Job Prestige 0.107 0.222 -0.327 0.542 0 %
Indigenous 0.585 0.930 -1.239 2.409 2 %
gender -0.226 0.091 -0.405 -0.047 10 %
State:NSW 0.340 0.138 0.069 0.612 0 %
State:VIC 0.713 0.135 0.449 0.977 0 %
State:QLD 1.042 0.142 0.763 1.321 1 %
State:SA 0.645 0.154 0.344 0.947 0 %
State:WA 0.928 0.152 0.630 1.226 0 %
State:NT 0.424 0.206 0.020 0.828 2 %
log distance to campus:Job Prestige -0.006 0.024 -0.054 0.042 0 %
log distance to campus:Indigenous -0.065 0.095 -0.253 0.122 2 %

0.6 Log Distance to an Elite University

Unconditioned

log odds se (lower upper) missInfo
(Intercept) 0.730 0.254 0.232 1.228 0 %
log distance to elite campus -0.082 0.024 -0.129 -0.035 0 %

No Interaction

log odds se (lower upper) missInfo
(Intercept) -3.148 0.450 -4.031 -2.265 7 %
log distance to elite campus -0.047 0.036 -0.116 0.023 2 %
Math Achievement 0.001 0.001 -0.001 0.003 19 %
Reading Achievement 0.002 0.001 0.000 0.005 56 %
Science Achievement 0.002 0.001 -0.001 0.005 64 %
Index of Educational and Occupational Level 0.062 0.064 -0.063 0.186 0 %
Job Prestige 0.056 0.032 -0.007 0.118 2 %
Indigenous -0.127 0.187 -0.493 0.238 1 %
gender -0.222 0.091 -0.402 -0.042 11 %
State:NSW 0.374 0.137 0.105 0.643 0 %
State:VIC 0.734 0.134 0.471 0.998 0 %
State:QLD 1.076 0.141 0.800 1.352 0 %
State:SA 0.656 0.156 0.350 0.962 1 %
State:WA 0.936 0.148 0.646 1.226 0 %
State:NT 0.748 0.237 0.283 1.213 1 %

Interaction

log odds se (lower upper) missInfo
(Intercept) -3.168 0.455 -4.062 -2.275 8 %
log distance to elite campus -0.044 0.036 -0.116 0.027 2 %
Math Achievement 0.001 0.001 -0.001 0.003 19 %
Reading Achievement 0.002 0.001 0.000 0.005 56 %
Science Achievement 0.002 0.001 -0.001 0.005 65 %
Index of Educational and Occupational Level 0.063 0.064 -0.062 0.188 0 %
Job Prestige 0.028 0.178 -0.322 0.377 2 %
Indigenous 0.352 0.851 -1.316 2.021 2 %
gender -0.220 0.092 -0.401 -0.040 11 %
State:NSW 0.373 0.137 0.104 0.642 0 %
State:VIC 0.735 0.134 0.472 0.997 0 %
State:QLD 1.076 0.141 0.800 1.353 0 %
State:SA 0.656 0.156 0.350 0.962 1 %
State:WA 0.938 0.147 0.649 1.226 0 %
State:NT 0.746 0.236 0.284 1.208 1 %
log distance to elite campus:Job Prestige 0.003 0.017 -0.031 0.036 2 %
log distance to elite campus:Indigenous -0.040 0.077 -0.190 0.111 2 %