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Table 4 Known-groups validity of PROPr and EQ-5D-3L between ODI severity groups in terms of effect size, relative efficiency, and area under the receiver-operating characteristics curve ratio (AUROC-ratio)

From: Scale agreement, ceiling and floor effects, construct validity, and relative efficiency of the PROPr and EQ-5D-3L in low back pain patients

ODI Severity level

PROPr

EQ-5D-3L

Scale maximum

1.00

1.00

Minimal Mean (SD)

0.49 (0.19)

0.81 (0.15)

Moderate Mean (SD)

0.26 (0.10)

0.70 (0.15)

Effect Size (95%CI)

1.27 (0.79;1.76)

0.72 (0.26; 1.18)

Relative Efficiency (95%CI)

4.30 (1.68; 19.40)

AUROC-ratio (95%CI)

1.07 (0.94; 1.24)

Moderate Mean (SD)

0.26 (0.10)

0.70 (0.15)

Severe Mean (SD)

0.14 (0.09)

0.55 (0.21)

Effect Size (95%CI)

1.07 (0.69; 1.45)

0.74 (0.37; 1.11)

Relative Efficiency (95%CI)

2.52 (1.18; 6.68)

AUROC-ratio (95%CI)

1.23 (1.00; 1.28)

Severe Mean (SD)

0.14 (0.09)

0.55 (0.21)

Crippling Mean (SD)

0.07 (0.08)

0.34 (0.18)

Effect Size (95%CI)

0.80 (0.41; 1.19)

0.92 (0.53; 1.32)

Relative Efficiency (95%CI)

0.71 (0.23; 2.02)

AUROC-ratio (95%CI)

0.94 (0.82; 1.07)

Crippling Mean (SD)

0.07 (0.08)

0.34 (0.18)

Bedridden Mean (SD)

0.03 (0.04)

0.12 (0.22)

Scale minimum

 − 0.022

 − 0.103

Effect Size (95%CI)

0.63 (0.03–1.23)

1.04 (0.42–1.64)

Relative Efficiency (95%CI)

0.32 (0.03–2.67)

AUROC-ratio (95%CI)

0.90 (0.66–1.24)

  1. ES = 0.2–0.5: small, ES = 0.5–0.8: medium, ES > 0.8: large
  2. SD Standard deviation, CI Confidence Interval, ODI Oswestry Disability Index, AUROC area under the receiver-operating characteristics curve