 
Model (1)

Model (2)

Model (3)


Response variable

(Level)

B1

(0, 1^{a})

B2

(0, 1^{a})

B3

(0, 1^{a})

Level

(Count)

0

(1171)

0

(1258)

0

(1516)

 
1

(905)

1

(818)

1

(560)

 
Total

(2076)

Total

(2076)

Total

(2076)

Predictor variable

(Level)

X1
 
X1
 
X1
 
 
T1

(L^{b}, U, R, S)

T1

(L^{b}, U, R, S)

T1

(L^{b}, U, R, S)

 
T2

(Sg^{b}, Cs, Cd)

T2

(Sg^{b}, Cs, Cd)

T2

(Sg^{b}, Cs, Cd)

   
B1

(0^{b}, 1)

B1

(0^{b}, 1)

     
B2

(0^{b}, 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
 
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
  
0.376 (3.79***)

1.46

0.420 (3.06***)

1.52

B2

1
    
3.603 (21.65***)

36.72

Model significance test

Log Likelihood
 
−1322.902
 
−1286.288
 
−727.612
 
ChiSq
 
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
 
Count

Proportion

Count

Proportion

Count

Proportion


Concordant pairs
 
720,302

0.680

674,699

0.656

743,362

0.876

Discordant pairs
 
332,881

0.314

329,685

0.320

96,802

0.114

Tied pairs
 
6572

0.006

24,660

0.024

8796

0.010

Total
 
1,059,755

1.000

1,029,044

1.000

848,960

1.000


^{a}Reference case (i.e., Success)

^{b}Reference level