|  | Model (1) | Model (2) | Model (3) | |||
---|---|---|---|---|---|---|---|
Response variable | (Level) | B1 | (0, 1a) | B2 | (0, 1a) | B3 | (0, 1a) |
Level | (Count) | 0 | (1171) | 0 | (1258) | 0 | (1516) |
 |  | 1 | (905) | 1 | (818) | 1 | (560) |
 |  | Total | (2076) | Total | (2076) | Total | (2076) |
Predictor variable | (Level) | X1 | Â | X1 | Â | X1 | Â |
 |  | T1 | (Lb, U, R, S) | T1 | (Lb, U, R, S) | T1 | (Lb, U, R, S) |
 |  | T2 | (Sgb, Cs, Cd) | T2 | (Sgb, Cs, Cd) | T2 | (Sgb, Cs, Cd) |
 |  |  |  | B1 | (0b, 1) | B1 | (0b, 1) |
 |  |  |  |  |  | B2 | (0b, 1) |
Variable | Level | Coefficient (Z value) | Odds ratio | Coefficient (Z value) | Odds ratio | Coefficient (Z value) | Odds ratio |
---|---|---|---|---|---|---|---|
Intercept |  | −1.256 (−6.28) |  | −0.910 (−4.55) |  | −3.940 (−12.24) |  |
X1 | Â | 0.283 (10.04***) | 1.33 | 0.028 (1.15) | 1.03 | 0.021 (0.57) | 1.02 |
T1 | U | 0.343 (1.65*) | 1.41 | −1.770 (−5.48***) | 0.17 | −0.942 (−1.88*) | 0.39 |
 | R | 0.225 (1.30) | 1.25 | −0.927 (−4.77***) | 0.40 | −0.307 (−1.06) | 0.74 |
 | S | 0.187 (1.43) | 1.21 | 0.702 (5.39***) | 2.02 | 0.433 (2.29**) | 1.54 |
T2 | Cs | 0.060 (0.33) | 1.06 | 0.021 (0.12) | 1.02 | 0.038 (0.15) | 1.04 |
 | Cd | 0.419 (2.53**) | 1.52 | −0.014 (−0.08) | 0.99 | 0.516 (2.19**) | 1.68 |
B1 | 1 | Â | Â | 0.376 (3.79***) | 1.46 | 0.420 (3.06***) | 1.52 |
B2 | 1 | Â | Â | Â | Â | 3.603 (21.65***) | 36.72 |
Model significance test | |||||||
 Log Likelihood |  | −1322.902 |  | −1286.288 |  | −727.612 |  |
 Chi-Sq |  | 197.967 |  | 211.403 |  | 965.432 |  |
 DF |  | 6 |  | 7 |  | 8 |  |
 P value |  | 0.000*** |  | 0.000*** |  | 0.000*** |  |
Measures of association | |||||||
 Somers’ D |  | 0.37 |  | 0.34 |  | 0.76 |  |
 Goodman–Kruskal γ |  | 0.37 |  | 0.34 |  | 0.77 |  |
 Kendall’s τ A |  | 0.18 |  | 0.16 |  | 0.30 |  |
Prediction pair type | Â | Count | Proportion | Count | Proportion | Count | Proportion |
---|---|---|---|---|---|---|---|
Concordant pairs | Â | 720,302 | 0.680 | 674,699 | 0.656 | 743,362 | 0.876 |
Discordant pairs | Â | 332,881 | 0.314 | 329,685 | 0.320 | 96,802 | 0.114 |
Tied pairs | Â | 6572 | 0.006 | 24,660 | 0.024 | 8796 | 0.010 |
Total | Â | 1,059,755 | 1.000 | 1,029,044 | 1.000 | 848,960 | 1.000 |