Table 3 Logistic regression results for the cartilage thickness biomarker for all bones.

From: Uncovering associations between data-driven learned qMRI biomarkers and chronic pain

Biomarker

Bone

Method

Variable

Estimate

Standard error

p-value

ROC (sensitivity/specificity/AUC)

Likelihood ratio p-value

Cartilage thickness (n = 2151)

Femur

Classical: clinical compartment average

Intercept

 − 3.59

0.621

7.56 × 10–9

13.5

95.2

63.3

7.01 × 10–33

Age

 − 0.011

5.1 × 10–3

3.06 × 10–2

BMI

0.077

1.01 × 10–2

1.84 × 10–14

Sex

 − 0.193

0.114

9.05 × 10–2

LF thickness

 − 0.582

0.264

2.77 × 10–2

MF thickness

1.289

0.246

1.77 × 10–7

Proposed: DL-guided weighted average

Intercept

 − 2.52

0.645

9.16 × 10–5

33.5

89.8

69.2

Age

 − 1.97 × 10–2

5.36 × 10–3

2.33 × 10–4

BMI

5.14 × 10–2

1.06 × 10–2

1.13 × 10–6

Sex

 − 8.78 × 10–2

0.118

0.455

LF thickness

2.25

0.364

6.55 × 10–10

MF thickness

2.29

0.268

1.57 × 10–17

DL-thickness

 − 3.66

0.32

2.02 × 10–30

Tibia

Classical: clinical compartment average

Intercept

0.496

0.638

0.437

15.5

94.2

63.6

1.93 × 10–14

Age

 − 1.81 × 10–2

5.17 × 10–3

4.5 × 10–4

BMI

0.078

0.01

7.27 × 10–15

Sex

 − 0.356

0.106

8.0 × 10–4

LT thickness

 − 0.445

0.182

1.47 × 10–2

MT thickness

 − 0.537

0.15

3.42 × 10–4

Proposed: DL-guided weighted average

Intercept

0.81

0.65

0.213

24.8

92.9

66.9

Age

 − 2.11 × 10–2

5.27 × 10–3

6.06 × 10–5

BMI

7.03 × 10–2

1.02 × 10–2

4.86 × 10–12

Sex

 − 0.387

0.107

3.12 × 10–4

LT thickness

0.289

0.208

0.165

MT thickness

0.108

0.173

0.533

DL-thickness

 − 1.37

0.184

9.6 × 10–14

Patella

Classical: clinical compartment average

Intercept

1.21

0.644

6.05 × 10–2

15.8

94.8

65.0

0.851

Age

 − 2.38 × 10–2

5.33 × 10–3

8.09 × 10–6

BMI

6.64 × 10–2

1.03 × 10–2

1.06 × 10–10

Sex

 − 0.389

0.105

2.28 × 10–4

L thickness

 − 0.398

0.118

7.12 × 10–4

M thickness

 − 0.424

0.12

3.97 × 10–4

Proposed: DL-guided weighted average

Intercept

1.215

0.645

5.95 × 10–2

16.0

94.9

65.0

Age

 − 2.38 × 10–2

5.33 × 10–3

7.96 × 10–6

BMI

6.63 × 10–2

1.03 × 10–2

1.20 × 10–10

Sex

 − 0.39

0.106

2.24 × 10–4

L thickness

 − 0.376

0.166

2.39 × 10–2

M thickness

 − 0.401

0.173

2.06 × 10–2

DL-thickness

 − 4.57 × 10–2

0.243

0.851

  1. The demographic factors, such as age, BMI, and sex, are included to the logistic regression models as well as the different cartilage thickness averaging methods. The results are shown for the two definitions for OA imaging biomarkers, clinical compartment average and DL-guided weighted average for the femur, tibia, and patella.
  2. LF Lateral Femur, MF Medial Femur, MT Medial Tibia, LT Lateral Tibia, M Medial, L Lateral.