Main Analaysis:

Supplementary: Parent Job Prestige

Supplementary: Postcode age 16

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0.1 At least One Campus in Proximity

No Interaction

log odds se (lower upper) missInfo
(Intercept) -0.375 0.089 -0.550 -0.200 2 %
At least one campus 0.473 0.058 0.359 0.586 5 %
Math Achievement 0.277 0.061 0.149 0.405 52 %
Reading Achievement 0.476 0.056 0.363 0.589 33 %
Science Achievement -0.070 0.077 -0.235 0.094 56 %
Index of Educational and Occupational Level 0.092 0.034 0.025 0.158 2 %
Economic Social Cultural Scale 0.180 0.024 0.132 0.229 11 %
Indigenous -0.024 0.121 -0.261 0.213 8 %
gender 0.109 0.049 0.013 0.204 2 %
cohort -0.132 0.026 -0.184 -0.081 5 %
State:NSW 0.190 0.099 -0.004 0.384 1 %
State:VIC 0.707 0.101 0.509 0.905 0 %
State:QLD 0.193 0.117 -0.037 0.423 1 %
State:SA 0.257 0.105 0.050 0.464 1 %
State:WA -0.151 0.098 -0.344 0.041 3 %
State:NT 0.317 0.125 0.073 0.562 6 %

Interaction

log odds se (lower upper) missInfo
(Intercept) -0.325 0.091 -0.504 -0.146 2 %
At least one campus 0.417 0.057 0.305 0.530 4 %
Math Achievement 0.277 0.060 0.151 0.404 51 %
Reading Achievement 0.479 0.056 0.366 0.592 32 %
Science Achievement -0.071 0.077 -0.235 0.093 55 %
Index of Educational and Occupational Level 0.103 0.034 0.036 0.171 2 %
Economic Social Cultural Scale 0.312 0.055 0.204 0.420 4 %
Indigenous -0.036 0.237 -0.500 0.429 5 %
gender 0.110 0.049 0.014 0.205 2 %
cohort -0.132 0.027 -0.184 -0.080 5 %
State:NSW 0.185 0.099 -0.008 0.379 2 %
State:VIC 0.706 0.101 0.508 0.903 0 %
State:QLD 0.200 0.117 -0.030 0.429 1 %
State:SA 0.258 0.106 0.051 0.465 1 %
State:WA -0.152 0.098 -0.345 0.041 4 %
State:NT 0.311 0.125 0.066 0.557 6 %
At least one campus:Economic Social Cultural Scale -0.178 0.062 -0.299 -0.057 5 %
At least one campus:Indigenous 0.032 0.286 -0.528 0.592 6 %

0.2 At Least One Elite Campus in Proximity

No Interaction

log odds se (lower upper) missInfo
(Intercept) -0.302 0.089 -0.477 -0.128 1 %
At least one elite campus 0.543 0.056 0.433 0.653 6 %
Math Achievement 0.276 0.058 0.156 0.395 46 %
Reading Achievement 0.476 0.056 0.363 0.589 34 %
Science Achievement -0.065 0.076 -0.225 0.096 53 %
Index of Educational and Occupational Level 0.032 0.037 -0.040 0.104 3 %
Economic Social Cultural Scale 0.190 0.025 0.142 0.239 12 %
Indigenous -0.021 0.121 -0.259 0.216 7 %
gender 0.114 0.048 0.019 0.208 2 %
cohort -0.131 0.026 -0.183 -0.080 5 %
State:NSW 0.219 0.097 0.030 0.408 1 %
State:VIC 0.717 0.103 0.516 0.918 0 %
State:QLD 0.238 0.118 0.007 0.468 1 %
State:SA 0.227 0.105 0.022 0.432 1 %
State:WA -0.033 0.093 -0.215 0.149 4 %
State:NT 0.602 0.127 0.352 0.852 3 %

Interaction

log odds se (lower upper) missInfo
(Intercept) -0.254 0.090 -0.429 -0.078 1 %
At least one elite campus 0.491 0.057 0.380 0.603 6 %
Math Achievement 0.277 0.058 0.158 0.396 45 %
Reading Achievement 0.475 0.057 0.360 0.589 34 %
Science Achievement -0.062 0.076 -0.221 0.096 51 %
Index of Educational and Occupational Level 0.054 0.037 -0.018 0.127 3 %
Economic Social Cultural Scale 0.292 0.036 0.221 0.363 8 %
Indigenous 0.052 0.143 -0.230 0.333 6 %
gender 0.114 0.048 0.019 0.208 2 %
cohort -0.130 0.027 -0.182 -0.077 5 %
State:NSW 0.203 0.096 0.015 0.391 1 %
State:VIC 0.701 0.103 0.500 0.902 0 %
State:QLD 0.233 0.118 0.002 0.463 1 %
State:SA 0.232 0.106 0.024 0.439 1 %
State:WA -0.055 0.094 -0.240 0.130 4 %
State:NT 0.577 0.129 0.325 0.829 2 %
At least one elite campus:Economic Social Cultural Scale -0.232 0.049 -0.328 -0.137 3 %
At least one elite campus:Indigenous -0.193 0.289 -0.760 0.374 3 %

0.3 Number of Universities in Proximity

No Interaction

log odds se (lower upper) missInfo
(Intercept) 0.044 0.089 -0.131 0.219 1 %
Number of Campuses 0.022 0.004 0.016 0.029 2 %
Math Achievement 0.279 0.059 0.157 0.401 48 %
Reading Achievement 0.482 0.056 0.371 0.594 30 %
Science Achievement -0.077 0.075 -0.236 0.081 52 %
Index of Educational and Occupational Level 0.036 0.040 -0.043 0.114 2 %
Economic Social Cultural Scale 0.196 0.025 0.147 0.246 11 %
Indigenous -0.044 0.121 -0.281 0.194 7 %
gender 0.098 0.049 0.002 0.193 2 %
cohort -0.134 0.026 -0.185 -0.084 5 %
State:NSW -0.117 0.106 -0.324 0.090 1 %
State:VIC 0.458 0.112 0.238 0.678 1 %
State:QLD 0.008 0.122 -0.231 0.246 1 %
State:SA 0.078 0.110 -0.138 0.293 1 %
State:WA -0.238 0.103 -0.440 -0.036 4 %
State:NT 0.274 0.127 0.025 0.523 6 %

Interaction

log odds se (lower upper) missInfo
(Intercept) 0.005 0.089 -0.168 0.179 1 %
Number of Campuses 0.020 0.003 0.013 0.026 3 %
Math Achievement 0.281 0.059 0.159 0.403 48 %
Reading Achievement 0.487 0.056 0.374 0.599 30 %
Science Achievement -0.076 0.074 -0.231 0.079 50 %
Index of Educational and Occupational Level 0.064 0.040 -0.015 0.143 2 %
Economic Social Cultural Scale 0.297 0.032 0.235 0.359 10 %
Indigenous -0.042 0.146 -0.328 0.244 7 %
gender 0.102 0.048 0.008 0.196 2 %
cohort -0.127 0.026 -0.177 -0.076 5 %
State:NSW -0.037 0.105 -0.242 0.168 1 %
State:VIC 0.531 0.111 0.314 0.748 1 %
State:QLD 0.092 0.121 -0.145 0.328 1 %
State:SA 0.157 0.110 -0.058 0.373 1 %
State:WA -0.184 0.102 -0.384 0.016 4 %
State:NT 0.337 0.128 0.086 0.587 5 %
Number of Campuses:Economic Social Cultural Scale -0.015 0.003 -0.020 -0.009 5 %
Number of Campuses:Indigenous 0.011 0.027 -0.041 0.063 2 %

No Interaction: Polynomial

log odds se (lower upper) missInfo
(Intercept) -0.086 0.087 -0.257 0.085 1 %
Number of Campuses 0.085 0.011 0.063 0.106 5 %
Number of Campuses^2 -0.002 0.000 -0.002 -0.001 5 %
Math Achievement 0.273 0.059 0.150 0.395 49 %
Reading Achievement 0.473 0.055 0.362 0.584 30 %
Science Achievement -0.056 0.076 -0.217 0.104 53 %
Index of Educational and Occupational Level -0.035 0.040 -0.113 0.044 2 %
Economic Social Cultural Scale 0.197 0.025 0.147 0.246 12 %
Indigenous -0.027 0.121 -0.264 0.210 7 %
gender 0.108 0.049 0.013 0.203 2 %
cohort -0.130 0.026 -0.181 -0.080 5 %
State:NSW -0.091 0.102 -0.292 0.109 1 %
State:VIC 0.391 0.111 0.174 0.609 1 %
State:QLD -0.065 0.122 -0.303 0.174 1 %
State:SA -0.048 0.112 -0.268 0.172 1 %
State:WA -0.220 0.102 -0.421 -0.019 4 %
State:NT 0.272 0.126 0.024 0.520 6 %

Interaction: Polynomial

log odds se (lower upper) missInfo
(Intercept) -0.104 0.088 -0.276 0.067 1 %
Number of Campuses 0.074 0.011 0.053 0.096 5 %
Number of Campuses^2 -0.002 0.000 -0.002 -0.001 5 %
Math Achievement 0.275 0.059 0.152 0.398 49 %
Reading Achievement 0.478 0.056 0.366 0.590 30 %
Science Achievement -0.057 0.075 -0.214 0.100 51 %
Index of Educational and Occupational Level 0.004 0.041 -0.076 0.085 2 %
Economic Social Cultural Scale 0.322 0.038 0.247 0.397 5 %
Indigenous -0.013 0.170 -0.347 0.322 7 %
gender 0.111 0.048 0.017 0.205 2 %
cohort -0.124 0.026 -0.175 -0.074 5 %
State:NSW -0.015 0.102 -0.216 0.186 1 %
State:VIC 0.466 0.111 0.249 0.683 1 %
State:QLD 0.027 0.120 -0.208 0.262 1 %
State:SA 0.044 0.114 -0.180 0.268 0 %
State:WA -0.169 0.102 -0.369 0.030 4 %
State:NT 0.330 0.127 0.080 0.579 5 %
Number of Campuses:Economic Social Cultural Scale -0.027 0.010 -0.046 -0.008 1 %
Number of Campuses:Indigenous 0.003 0.056 -0.106 0.112 4 %
Number of Campuses^2:Economic Social Cultural Scale 0.000 0.000 0.000 0.001 1 %
Number of Campuses^2:Indigenous 0.000 0.002 -0.003 0.003 3 %

0.4 Number of Elite Universities in Proximity

No Interaction

log odds se (lower upper) missInfo
(Intercept) 0.034 0.089 -0.140 0.208 1 %
Number of Elite Campuses 0.089 0.015 0.059 0.119 3 %
Math Achievement 0.279 0.058 0.158 0.399 46 %
Reading Achievement 0.487 0.056 0.374 0.600 32 %
Science Achievement -0.083 0.075 -0.239 0.074 51 %
Index of Educational and Occupational Level 0.060 0.039 -0.016 0.136 3 %
Economic Social Cultural Scale 0.195 0.025 0.146 0.245 11 %
Indigenous -0.044 0.121 -0.282 0.195 7 %
gender 0.094 0.048 -0.001 0.189 2 %
cohort -0.133 0.026 -0.183 -0.082 4 %
State:NSW -0.087 0.103 -0.289 0.115 1 %
State:VIC 0.555 0.107 0.345 0.765 1 %
State:QLD 0.059 0.121 -0.179 0.296 1 %
State:SA 0.155 0.108 -0.058 0.367 1 %
State:WA -0.213 0.101 -0.411 -0.015 4 %
State:NT 0.319 0.127 0.070 0.568 6 %

Interaction

log odds se (lower upper) missInfo
(Intercept) 0.009 0.089 -0.165 0.183 1 %
Number of Elite Campuses 0.081 0.015 0.053 0.110 4 %
Math Achievement 0.281 0.058 0.161 0.400 45 %
Reading Achievement 0.490 0.057 0.376 0.604 32 %
Science Achievement -0.079 0.074 -0.233 0.074 49 %
Index of Educational and Occupational Level 0.077 0.039 0.001 0.153 3 %
Economic Social Cultural Scale 0.268 0.030 0.210 0.327 10 %
Indigenous -0.018 0.132 -0.277 0.241 7 %
gender 0.097 0.048 0.003 0.191 2 %
cohort -0.126 0.026 -0.177 -0.075 4 %
State:NSW -0.038 0.103 -0.239 0.164 1 %
State:VIC 0.602 0.106 0.394 0.810 1 %
State:QLD 0.113 0.121 -0.124 0.350 1 %
State:SA 0.205 0.108 -0.007 0.417 1 %
State:WA -0.180 0.101 -0.377 0.017 4 %
State:NT 0.361 0.128 0.110 0.611 5 %
Number of Elite Campuses:Economic Social Cultural Scale -0.056 0.013 -0.082 -0.030 3 %
Number of Elite Campuses:Indigenous 0.005 0.095 -0.181 0.192 2 %

No Interaction: Polynomial

log odds se (lower upper) missInfo
(Intercept) -0.041 0.089 -0.216 0.134 1 %
Number of Elite Campuses 0.267 0.040 0.187 0.346 4 %
Number of Elite Campuses^2 -0.019 0.004 -0.028 -0.010 4 %
Math Achievement 0.278 0.058 0.158 0.399 46 %
Reading Achievement 0.480 0.056 0.367 0.593 32 %
Science Achievement -0.073 0.075 -0.231 0.086 52 %
Index of Educational and Occupational Level 0.009 0.039 -0.068 0.086 2 %
Economic Social Cultural Scale 0.196 0.025 0.146 0.245 11 %
Indigenous -0.037 0.121 -0.275 0.202 7 %
gender 0.103 0.048 0.008 0.198 2 %
cohort -0.132 0.026 -0.182 -0.081 5 %
State:NSW -0.069 0.102 -0.269 0.131 1 %
State:VIC 0.487 0.110 0.272 0.702 1 %
State:QLD 0.025 0.122 -0.213 0.263 1 %
State:SA 0.122 0.108 -0.089 0.333 1 %
State:WA -0.197 0.100 -0.394 0.000 4 %
State:NT 0.360 0.128 0.109 0.611 4 %

Interaction: Polyinomal

log odds se (lower upper) missInfo
(Intercept) -0.056 0.089 -0.230 0.119 1 %
Number of Elite Campuses 0.244 0.040 0.166 0.322 4 %
Number of Elite Campuses^2 -0.017 0.004 -0.026 -0.009 4 %
Math Achievement 0.282 0.058 0.162 0.401 46 %
Reading Achievement 0.480 0.057 0.366 0.594 32 %
Science Achievement -0.069 0.074 -0.224 0.086 50 %
Index of Educational and Occupational Level 0.038 0.040 -0.041 0.117 2 %
Economic Social Cultural Scale 0.315 0.035 0.248 0.383 9 %
Indigenous 0.014 0.143 -0.268 0.295 7 %
gender 0.105 0.048 0.011 0.199 2 %
cohort -0.126 0.026 -0.177 -0.074 5 %
State:NSW -0.014 0.102 -0.213 0.185 1 %
State:VIC 0.536 0.110 0.322 0.751 1 %
State:QLD 0.090 0.121 -0.146 0.327 1 %
State:SA 0.182 0.108 -0.031 0.395 0 %
State:WA -0.165 0.100 -0.361 0.032 4 %
State:NT 0.401 0.129 0.148 0.653 4 %
Number of Elite Campuses:Economic Social Cultural Scale -0.161 0.037 -0.233 -0.089 3 %
Number of Elite Campuses:Indigenous -0.055 0.223 -0.492 0.383 2 %
Number of Elite Campuses^2:Economic Social Cultural Scale 0.012 0.004 0.004 0.019 2 %
Number of Elite Campuses^2:Indigenous 0.006 0.024 -0.042 0.054 1 %

0.5 Log Distance to Nearest University Campus

No Interaction

log odds se (lower upper) missInfo
(Intercept) 1.667 0.201 1.273 2.062 3 %
log distance to campus -0.177 0.019 -0.215 -0.140 2 %
Math Achievement 0.279 0.060 0.154 0.405 50 %
Reading Achievement 0.477 0.056 0.363 0.591 33 %
Science Achievement -0.072 0.077 -0.235 0.092 55 %
Index of Educational and Occupational Level 0.074 0.034 0.007 0.140 2 %
Economic Social Cultural Scale 0.180 0.024 0.132 0.228 11 %
Indigenous 0.014 0.122 -0.226 0.254 8 %
gender 0.108 0.049 0.013 0.203 2 %
cohort -0.141 0.026 -0.191 -0.090 5 %
State:NSW 0.122 0.099 -0.071 0.316 2 %
State:VIC 0.635 0.100 0.440 0.830 0 %
State:QLD 0.140 0.115 -0.085 0.365 1 %
State:SA 0.208 0.105 0.002 0.414 1 %
State:WA -0.177 0.098 -0.369 0.014 3 %
State:NT 0.281 0.128 0.031 0.531 6 %

Interaction

log odds se (lower upper) missInfo
(Intercept) 1.465 0.204 1.066 1.864 2 %
log distance to campus -0.155 0.020 -0.195 -0.116 2 %
Math Achievement 0.280 0.060 0.155 0.404 49 %
Reading Achievement 0.481 0.057 0.367 0.596 32 %
Science Achievement -0.073 0.077 -0.236 0.091 55 %
Index of Educational and Occupational Level 0.087 0.034 0.020 0.154 2 %
Economic Social Cultural Scale -0.532 0.179 -0.884 -0.180 5 %
Indigenous -0.185 0.957 -2.063 1.692 4 %
gender 0.113 0.049 0.018 0.209 2 %
cohort -0.139 0.026 -0.190 -0.088 5 %
State:NSW 0.127 0.098 -0.064 0.318 2 %
State:VIC 0.640 0.099 0.445 0.834 0 %
State:QLD 0.158 0.115 -0.067 0.383 1 %
State:SA 0.228 0.106 0.021 0.436 1 %
State:WA -0.170 0.098 -0.361 0.021 4 %
State:NT 0.270 0.127 0.022 0.519 7 %
log distance to campus:Economic Social Cultural Scale 0.077 0.020 0.039 0.116 4 %
log distance to campus:Indigenous 0.022 0.102 -0.177 0.222 4 %

0.6 Log Distance to an Elite University

No Interaction

log odds se (lower upper) missInfo
(Intercept) 1.650 0.235 1.189 2.110 3 %
log distance to elite campus -0.163 0.021 -0.205 -0.121 3 %
Math Achievement 0.282 0.059 0.160 0.404 47 %
Reading Achievement 0.477 0.057 0.363 0.591 33 %
Science Achievement -0.068 0.076 -0.228 0.092 53 %
Index of Educational and Occupational Level 0.034 0.040 -0.044 0.111 2 %
Economic Social Cultural Scale 0.190 0.024 0.141 0.238 11 %
Indigenous 0.053 0.123 -0.188 0.295 7 %
gender 0.115 0.049 0.019 0.210 2 %
cohort -0.125 0.026 -0.176 -0.075 5 %
State:NSW 0.222 0.099 0.029 0.416 1 %
State:VIC 0.679 0.101 0.481 0.877 0 %
State:QLD 0.253 0.117 0.025 0.482 1 %
State:SA 0.213 0.106 0.006 0.420 1 %
State:WA -0.130 0.096 -0.318 0.058 3 %
State:NT 1.119 0.166 0.794 1.445 3 %

Interaction

log odds se (lower upper) missInfo
(Intercept) 1.512 0.241 1.040 1.984 3 %
log distance to elite campus -0.148 0.022 -0.191 -0.104 3 %
Math Achievement 0.281 0.059 0.159 0.404 47 %
Reading Achievement 0.477 0.057 0.361 0.593 35 %
Science Achievement -0.066 0.076 -0.225 0.094 53 %
Index of Educational and Occupational Level 0.054 0.040 -0.024 0.132 1 %
Economic Social Cultural Scale -0.495 0.148 -0.785 -0.206 1 %
Indigenous -0.806 0.678 -2.137 0.525 8 %
gender 0.117 0.049 0.021 0.213 2 %
cohort -0.126 0.026 -0.177 -0.075 5 %
State:NSW 0.207 0.098 0.015 0.399 1 %
State:VIC 0.669 0.100 0.472 0.866 0 %
State:QLD 0.248 0.116 0.021 0.476 1 %
State:SA 0.213 0.106 0.006 0.420 1 %
State:WA -0.141 0.096 -0.330 0.047 3 %
State:NT 1.086 0.173 0.746 1.425 3 %
log distance to elite campus:Economic Social Cultural Scale 0.065 0.014 0.038 0.093 1 %
log distance to elite campus:Indigenous 0.077 0.057 -0.035 0.189 8 %