Best-fit values |
β0 |
1.3 |
1.9 |
2 |
2 |
1.6 |
1.6 |
β1 |
−0.0043 |
−0.0033 |
−0.0062 |
2.6 |
−0.00094 |
2.2 |
X at 50% |
295 |
587 |
329 |
−0.76 |
1745 |
−0.73 |
Std. Error |
β0 |
0.25 |
0.49 |
0.77 |
0.8 |
0.56 |
0.67 |
β1 |
0.00097 |
0.001 |
0.0021 |
4.7 |
0.0011 |
3.1 |
X at 50% |
63 |
149 |
106 |
1.5 |
1690 |
1.2 |
95% CI (profile likelihood) |
β0 |
0.80 to 1.8 |
1.0 to 3.0 |
0.74 to 3.9 |
0.63 to 4.0 |
0.63 to 2.9 |
0.39 to 3.1 |
β1 |
−0.0066 to −0.0026 |
−0.0055 to −0.0014 |
−0.011 to −0.0029 |
−2.1 to 29 |
−0.0030 to 0.0013 |
−1.6 to 17 |
X at 50% |
191 to 445 |
353 to 1092 |
145 to 569 |
??? to −0.037 |
612 to ??? |
??? to −0.044 |
Odds ratios |
β0 |
3.5 |
6.7 |
7.7 |
7.5 |
5.1 |
4.9 |
β1 |
1 |
1 |
0.99 |
14 |
1 |
8.8 |
95% CI (profile likelihood) for odds ratios |
β0 |
2.2 to 5.8 |
2.8 to 20 |
2.1 to 51 |
1.9 to 53 |
1.9 to 18 |
1.5 to 23 |
β1 |
0.99 to 1.0 |
0.99 to 1.0 |
0.99 to 1.0 |
0.13 to 2539493970211 |
1.0 to 1.0 |
0.20 to 17869430 |
Is slope significantly non-zero? |
|Z| |
4.4 |
3.1 |
3 |
0.57 |
0.89 |
0.7 |
P value |
<0.0001 |
0.0018 |
0.0027 |
0.5719 |
0.3732 |
0.4822 |
Deviation from zero? |
Significant |
Significant |
Significant |
NS |
NS |
NS |
Likelihood ratio test |
Log-likelihood ratio (G squared) |
49 |
26 |
19 |
0.72 |
0.75 |
0.9 |
P value |
<0.0001 |
<0.0001 |
<0.0001 |
0.3967 |
0.3853 |
0.3438 |
Reject Null Hypothesis? |
Yes |
Yes |
Yes |
No |
No |
No |
P value summary |
∗∗∗∗ |
∗∗∗∗ |
∗∗∗∗ |
ns |
ns |
ns |
Area under the ROC curve |
Area |
0.75 |
0.82 |
0.87 |
0.52 |
0.58 |
0.58 |
Std. Error |
0.046 |
0.071 |
0.081 |
0.14 |
0.14 |
0.12 |
95% confidence interval |
0.66 to 0.84 |
0.68 to 0.96 |
0.71 to 1.0 |
0.25 to 0.79 |
0.31 to 0.85 |
0.34 to 0.81 |
P value |
<0.0001 |
0.0001 |
0.0012 |
0.9131 |
0.5338 |
0.6812 |
Goodness of Fit |
Tjur's R squared |
0.33 |
0.44 |
0.61 |
0.019 |
0.028 |
0.023 |
Cox-Snell's R squared |
0.31 |
0.38 |
0.51 |
0.031 |
0.025 |
0.038 |
Model deviance, G squared |
134 |
44 |
18 |
13 |
29 |
17 |
Equation |
log odds = 1.3–0.0043∗X |
log odds = 1.9–0.0033∗X |
log odds = 2.0–0.0062∗X |
log odds = 2.0 + 2.6∗X |
log odds = 1.6–0.00094∗X |
log odds = 1.6 + 2.2∗X |
Data summary |
Rows in table |
135 |
54 |
27 |
23 |
30 |
23 |
Rows skipped (missing data) |
0 |
0 |
0 |
0 |
0 |
0 |
Rows analyzed (#observations) |
135 |
54 |
27 |
23 |
30 |
23 |
Number of 1 |
79 |
35 |
15 |
21 |
24 |
20 |
Number of 0 |
56 |
19 |
12 |
2 |
6 |
3 |
Number of parameter estimates |
2 |
2 |
2 |
2 |
2 |
2 |
#observations/#parameters |
67.5 |
27 |
13.5 |
11.5 |
15 |
11.5 |
# of 1/#parameters |
39.5 |
17.5 |
7.5 |
10.5 |
12 |
10 |
# of 0/#parameters |
28 |
9.5 |
6 |
1 |
3 |
1.5 |