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Table 9 ROC-based responder definitions for NAVQ-P total score at Month 3

From: Psychometric evaluation of the near activity visual questionnaire presbyopia (NAVQ-P) and additional patient-reported outcome items

Anchor

AUC (95% CI)

ROC curve estimates

(Change from Baseline to Month 3)

Method 1

Method 2

Method 3

Method 4

NAVQ-P Total Score

PGI-S (1 grade)

0.776 (0.706,0.845)

-8.0

-6.0

-8.0

-8.0

PGI-S (2 grade)

0.892 (0.832,0.953)

-8.0

-11.0

-8.0

-14.0

PGI-C

0.831 (0.775,0.887)

-8.0

-5.0

-8.0

-6.0

NVCI

PGI-S (1 grade)

0.695 (0.625,0.766)

-1.0

-1.0

-1.0

-1.0

PGI-S (2 grade)

0.761 (0.651,0.871)

-1.0

-1.0

-1.0

-1.0

PGI-C

0.773 (0.714,0.831)

-1.0

-1.0

-1.0

-1.0

NVS

PGI-S (1 grade)

0.711 (0.640,0.782)

1.0

1.0

1.0

1.0

PGI-S (2 grade)

0.828 (0.740,0.916)

2.0

2.0

2.0

2.0

PGI-C

0.811 (0.757,0.865)

1.0

1.0

1.0

1.0

  1. AUC: Area Under the Curve; CI: Confidence Interval; ROC: Receiver Operating Characteristic. Responder thresholds are based on the change score that optimally discriminates between improved and stable groups defined by the anchor.
  2. AUC and 95% CI are calculated from the ROC curve for each score using the randomised population.
  3. Method 1: Threshold defined by maximising the sum of sensitivity and specificity, also referred to as Youden’s J index.
  4. Method 2: Threshold defined by minimising the absolute difference between sensitivity and specificity.
  5. Method 3: Threshold defined by minimising the sum of 1- sensitivity and 1– specificity
  6. Method 4: Threshold defined by selecting the point in the ROC space which minimises the sum of squares.
  7. Negative NAVQ-P and NVCI change scores and positive NVS change scores represent improvement in symptoms.