Table 4 Successive binary logistic regression analyses (for-profit institutions, n 1 = 1637)
| Â | Â | Model (1) | Model (2) | Model (3) | |||
|---|---|---|---|---|---|---|---|
Response variable | (Level) | B1 | (0, 1a) | B2 | (0, 1a) | B3 | (0, 1a) |
Level | (Count) | 0 | (966) | 0 | (884) | 0 | (1118) |
| Â | Â | 1 | (671) | 1 | (753) | 1 | (519) |
| Â | Â | Total | (1637) | Total | (1637) | Total | (1637) |
Predictor variable | (Level) | X1 | Â | X1 | Â | X1 | Â |
| Â | Â | T1 | (Lb, S) | T1 | (Lb, S) | T1 | (Lb, S) |
| Â | Â | T2 | (Sgb, Cs, Cd) | T2 | (Sgb, Cs, Cd) | T2 | (Sgb, Cs, Cd) |
| Â | Â | Â | Â | B1 | (0b, 1) | B1 | (0b, 1) |
| Â | Â | Â | Â | Â | Â | B2 | (0b, 1) |
Variable | Level | Coefficient (Z value) | Odds ratio | Coefficient (Z value) | Odds ratio | Coefficient (Z value) | Odds ratio |
|---|---|---|---|---|---|---|---|
Intercept |  | −1.063 (−4.71) |  | −0.873 (−3.98) |  | −3.977 (−11.28) |  |
X1 |  | 0.242 (6.44***) | 1.27 | −0.015 (−0.42) | 0.99 | −0.016 (−0.32) | 0.98 |
T1 | S | 0.130 (0.96) | 1.14 | 0.644 (4.76***) | 1.90 | 0.372 (1.87*) | 1.45 |
T2 | Cs | −0.097 (−0.47) | 0.91 | 0.078 (0.40) | 1.08 | 0.060 (0.22) | 1.06 |
|  | Cd | 0.359 (1.84*) | 1.43 | −0.008 (−0.04) | 0.99 | 0.512 (1.98**) | 1.67 |
B1 | 1 | Â | Â | 0.514 (4.87***) | 1.67 | 0.497 (3.40***) | 1.64 |
B2 | 1 | Â | Â | Â | Â | 3.733 (19.79***) | 41.79 |
Model significance test | |||||||
 Log likelihood |  | −1065.310 |  | −1104.011 |  | −628.157 |  |
 Chi-Sq |  | 85.290 |  | 50.848 |  | 788.694 |  |
 DF |  | 4 |  | 5 |  | 6 |  |
 P value |  | 0.000*** |  | 0.000*** |  | 0.000*** |  |
Measures of association | |||||||
 Somers’ D |  | 0.30 |  | 0.19 |  | 0.74 |  |
 Goodman–Kruskal γ |  | 0.30 |  | 0.20 |  | 0.75 |  |
 Kendall’s τ A |  | 0.15 |  | 0.10 |  | 0.32 |  |
Prediction pair type | Â | Count | Proportion | Count | Proportion | Count | Proportion |
|---|---|---|---|---|---|---|---|
Concordant pairs | Â | 418,855 | 0.646 | 383,544 | 0.576 | 500,456 | 0.862 |
Discordant pairs | Â | 223,945 | 0.345 | 255,698 | 0.384 | 70,286 | 0.121 |
Tied pairs | Â | 5386 | 0.008 | 26,410 | 0.040 | 9,500 | 0.016 |
Total | Â | 648,186 | 1.000 | 665,652 | 1.000 | 580,242 | 1.000 |