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. 2026 Mar 17;16:13858. doi: 10.1038/s41598-026-43429-4

Table 2.

Participant characteristics of the training and test set.

Training sets (n = 917) Test sets (n = 392)
SF (Mild)
(n = 600)
SF (Moderate/Severe) (n = 317) P value
(Inner)
SF (Mild)
(n = 254)
SF (Moderate/Severe)
(n = 138)
P value
(Inner)
P value
(External)
Demographic data
 Gender 0.15 0.09 0.07
  Male 241 (26.3%) 112 (12.2%) 120 (30.6%) 53 (13.5%)
  Female 359 (39.2%) 205 (22.4%) 134 (34.2%) 85 (21.7%)
 Age 58.0 (51.0, 67.0) 68.0 (59.0, 73.0) < 0.001 59.0 (52.0, 66.0) 65.0 (58.0, 72.0) < 0.001 0.79
 Living area < 0.001 < 0.001 0.98
  Guizhou 130 (14.2%) 138 (15.1%) 57 (14.5%) 59 (15.1%)
  Shanxi 194 (21.2%) 132 (14.4%) 86 (21.9%) 51 (13.0%)
  Sichuan 276 (30.1%) 47 (5.10%) 111 (28.3%) 28 (7.10%)
 Nationality < 0.001 0.01 0.34
  Han ethnicity 289 (31.5%) 311 (33.9%) 123 (31.4%) 131 (33.4%)
  Minority 224 (24.4%) 93 (10.1%) 85 (21.7%) 53 (13.5%)
 Educational level < 0.001 0.009 0.72
  Illiteracy 160 (17.5%) 35 (3.80%) 69 (17.6%) 22 (5.60%)
  Elementary school 296 (32.3%) 177 (19.3%) 113 (28.8%) 82 (20.9%)
  Middle school and above 144 (15.7%) 105 (11.5%) 72 (18.4%) 34 (8.70%)
 Annual income (Yuan) < 0.001 0.003 0.46
  Less than 20,000 285 (31.1%) 315 (34.4%) 110 (28.1%) 114 (36.7%)
  More than 20,000 194 (21.2%) 123 (13.4%) 86 (21.9%) 52 (13.3%)
 Average sleep time (hours) 8.00 (7.00, 9.00) 7.00 (6.00, 8.00) < 0.001 8.00 (7.00, 9.00) 8.00 (6.00, 9.00) 0.006 0.33
 Body mass index 25.4 (23.2, 28.0) 24.7 (22.5, 27.3) 0.01 25.6 (23.2, 27.9) 24.9 (22.4, 27.4) 0.06 0.91
 Bone density 1529 (1511, 1550) 1519 (1505, 1535) < 0.001 1531 (1511, 1557) 1517 (1505, 1533) < 0.001 0.59
 Bone mass index 48.3 (43.9, 53.6) 44.8 (41.1, 50.2) < 0.001 48.6 (44.2, 55.4) 45.7 (41.9, 49.7) < 0.001 0.17
 Bone mass 4.80 (4.40, 5.20) 4.60 (4.20, 5.20) < 0.001 5.00 (4.40, 5.40) 4.60 (4.20, 5.00) 0.002 0.31
Orthopedic surgical evaluation
 Elbow function < 0.001 < 0.001 0.10
  No limitation of movement 463 (50.5%) 137 (14.9%) 181 (46.2%) 73 (18.6%)
  Significant limitation of movement 167 (18.2%) 150 (16.4%) 70 (17.9%) 68 (17.4%)
 Spinal function < 0.001 < 0.001 0.43
  No limitation of movement 425 (46.4%) 175 (19.1%) 174 (44.4%) 80 (20.4%)
  Significant limitation of movement 146 (15.9%) 171 (18.7%) 61 (15.6%) 77 (19.6%)
 Knee function < 0.001 < 0.001 0.32
  No limitation of movement 436 (47.6%) 164 (17.9%) 189 (48.2%) 65 (16.6%)
  Significant limitation of movement 84 (9.20%) 234 (25.4%) 45 (11.5%) 93 (23.7%)
 Shoulder function < 0.001 < 0.001 0.07
  No limitation of movement 539 (58.8%) 61 (6.70%) 219 (55.9%) 35 (8.90%)
  Significant limitation of movement 204 (22.3%) 113 (12.3%) 75 (19.1%) 63 (16.1%)
 Pain level score 3.00 (2.00, 4.00 ) 5.00 (4.00, 6.00 ) < 0.001 3.00 (2.00, 4.00) 5.00 (4.00, 6.00) < 0.001 0.93
Bone metabolism indicators
 PTH (pg/mL) 52.8 (40.8, 67.6) 48.3 (38.3, 64.1) 0.002 51.6 (38.7, 67.0) 50.4 (41.0, 65.4) 0.50 0.72
 Osteocalcin (ng/mL) 24.9 (19.2, 33.1) 28.1 (21.9, 35.7) 0.003 24.5 (18.0, 30.7) 27.1 (21.5, 34.3) 0.004 0.05
 PINP (µg/L) 77.5 (56.0, 96.3) 77.8 (61.6, 98.2) 0.02 66.5 (52.1, 88.0) 74.1 (56.9, 96.3) 0.01 0.03
 β-CrossLaps (ng/mL) 0.450 (0.338, 0.600) 0.520 (0.390, 0.650) 0.001 0.425 (0.320, 0.570) 0.530 (0.360, 0.670) 0.002 0.10
 Vitamin D (ng/mL) 23.1 (17.9, 29.1) 24.3 (19.2, 29.9) 0.02 23.0 (18.2, 29.0) 25.1 (19.2, 30.6) 0.06 0.64
Biochemical indicators
 Total bilirubin (µmol/L) 11.63 (7.20, 16.4) 10.0 (6.30, 14.4) 0.003 12.3 (6.72, 18.3) 10.3 (6.37, 14.0) 0.03 0.46
 Direct bilirubin (µmol/L) 2.93 (2.01, 4.10) 3.30 (2.45, 4.41) 0.001 3.10 (2.10, 4.26) 3.20 (2.25, 4.18) 0.20 0.99
 Urea (mmol/L) 5.11 (4.30, 6.20) 5.50 (4.80, 6.60) < 0.001 5.29 (4.39, 6.42) 5.47 (4.65, 6.80) 0.03 0.59
 IBIL (µmol/L) 9.60 (5.10, 13.9) 7.60 (4.20, 11.0) < 0.001 9.40 (5.20, 14.9) 7.25 (4.13, 10.2) 0.004 0.87
 Albumin (g/L) 44.4 (42.7, 46.0) 43.7 (41.9, 45.7) 0.007 44.4 (42.3, 46.1) 44.0 (41.8, 48.5) 0.19 0.69
 Urinary fluoride (mg/L) 1.26 (0.66, 2.61) 2.04 (1.11, 3.34) < 0.001 1.33 (0.740, 2.91) 1.83 (0.922, 3.28) 0.01 0.47
 WBC (10^9/L) 5.89 (4.72, 6.94) 6.21 (5.30, 7.60) < 0.001 6.19 (5.07, 7.30) 6.15 (5.1, 7.49) 0.50 0.07
 NEUT (10^9/L) 3.50 (2.68, 4.54) 3.86 (3.05, 5.01) 0.001 3.79 (2.86, 4.79) 3.81 (2.91, 5.37) 0.30 0.08
 RBC (10^12/L) 4.95 (4.52, 5.42) 4.65 (4.25, 5.00) < 0.001 4.96 (4.52, 5.46) 4.64 (4.31, 4.97) < 0.001 0.74
 HCT (%) 45.1 (41.3, 48.9) 42.7 (39.4, 46.2) < 0.001 45.5 (41.1, 50.1) 43.2 (40.5, 47.4) 0.02 0.13
 MCV (fL) 91.8 (88.5, 94.9) 92.2 (89.5, 95.5) 0.03 91.9 (88.5, 94.8) 92.5 (89.7, 95.5) 0.06 0.79
 MCH (pg) 29.8 (28.4, 31.2) 30.4 (29.2, 31.8) < 0.001 29.8 (28.4, 31.3) 30.5 (29.1, 31.9) 0.004 0.88
 MCHC (g/dL) 321 (316, 331) 329 (323, 336) < 0.001 322 (316, 331) 328 (319, 334) 0.003 0.83
 PDW (fL) 11.4 (9.90, 15.6) 14.3 (10.8, 16.4) < 0.001 11.3 (9.90, 15.9) 13.6 (10.7, 16.3) 0.006 0.64
 PCT (%) 0.240 (0.200, 0.280) 0.230 (0.190, 0.270) 0.01 0.250 (0.200, 0.290) 0.230 (0.200, 0.280) 0.10 0.45
 IL5 (pg/mL) 3.22 (2.41, 4.01) 2.90 (1.23, 3.86) 0.001 3.27 (2.49, 4.14) 2.63 (1.19, 3.68) < 0.001 0.94
 IFNα (pg/mL) 2.48 (1.76, 3.03) 2.04 (0.930, 2.85) < 0.001 2.46 (1.81, 3.09) 1.98 (0.898, 2.71) < 0.001 0.86
 IL2 (pg/mL) 0.920 (0.660, 1.20) 0.840 (0.380, 1.15) 0.02 0.925 (0.670, 1.27) 0.760 (0.460, 1.15) 0.02 0.69
 IL1β (pg/mL) 1.83 (0.710, 4.48) 1.04 (0.180, 4.48) < 0.001 1.88 (0.820, 4.48) 1.13 (0.210, 4.48) 0.002 0.81
 IFNγ (pg/mL) 4.36 (1.78, 7.27) 3.07 (0.840, 7.27) 0.006 4.13 (1.79, 7.75) 2.47 (0.618, 6.58) 0.002 0.85
 IL4 (pg/mL) 0.515 (0.270, 0.913) 0.570 (0.310, 1.04) 0.02 0.600 (0.320, 0.948) 0.520 (0.278, 0.855) 0.38 0.69

Inner P values compare severity groups within the same dataset; External P values compare the training and test sets. All numerical values in this table are rounded to three significant digits to ensure consistent precision.