Model Definition
\[y_i = \beta_0 + \beta_1 x_{1,i} + \beta_2 x_{2,i} + \epsilon_i\]
\(y = Income\), \(x_1 = University\), and \(\epsilon_i \sim N(0, \sigma^2)\).
Model
stan_glm
family: gaussian [identity]
formula: pay ~ uni
observations: 12476
predictors: 14
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Median MAD_SD
(Intercept) 56098.2 835.6
uniCalifornia -1330.8 1390.9
uniCheyney -802.2 1956.5
uniClarion 1429.4 1371.4
uniEast Stroudsburg 2828.3 1387.0
uniEdinboro 1344.0 1324.1
uniIndiana 4376.4 1136.7
uniKutztown 2280.4 1236.6
uniLock Haven 3469.0 1495.2
uniMansfield -1582.1 1572.7
uniMillersville -2017.5 1264.7
uniShippensburg 3087.8 1257.2
uniSlippery Rock 3523.2 1297.5
uniWest Chester -927.7 1093.2
Auxiliary parameter(s):
Median MAD_SD
sigma 29497.1 190.5
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* For help interpreting the printed output see ?print.stanreg
* For info on the priors used see ?prior_summary.stanreg| Characteristic | Beta | 95% CI1 |
|---|---|---|
| uni | ||
| Bloomsburg | — | — |
| California | -1,331 | -3,956, 1,181 |
| Cheyney | -802 | -4,497, 2,945 |
| Clarion | 1,429 | -1,365, 4,097 |
| East Stroudsburg | 2,828 | 171, 5,555 |
| Edinboro | 1,344 | -1,272, 4,006 |
| Indiana | 4,376 | 2,035, 6,610 |
| Kutztown | 2,280 | -356, 4,798 |
| Lock Haven | 3,469 | 453, 6,389 |
| Mansfield | -1,582 | -4,925, 1,515 |
| Millersville | -2,017 | -4,564, 498 |
| Shippensburg | 3,088 | 584, 5,586 |
| Slippery Rock | 3,523 | 977, 6,073 |
| West Chester | -928 | -3,154, 1,182 |
| 1 CI = Credible Interval | ||