Table 7 Clinical interpretation of astigmatism vector descriptive statistics.

From: Association of nutritional intake with myopia and astigmatism

Parameter

Value

Clinical interpretation

J0 (Orthogonal)

 

Quantifies with-the-rule (WTR) vs. against-the-rule (ATR) astigmatism

Mean = −0.028 D

Negative

Predominant against-the-rule astigmatism (steep meridian near horizontal/180°)

SD = 0.477 D

High

Substantial inter-individual variation (−3.875 to 2.467 D) indicates heterogeneous corneal toricity

J45 (Oblique)

 

Quantifies oblique astigmatism (45°/135° meridians)

Mean = −0.009 D

Near zero

Minimal oblique astigmatism; primary astigmatism is orthogonal (vertical/horizontal)

SD = 0.263 D

Moderate

Clinically relevant inter-eye differences exist (−2.748 to 3.123 D)

Cylinder (C)

 

Total astigmatic power

Mean = −0.781 D

Moderate

Characteristic of myopic astigmatism cohort

Axis (α)

 

Orientation of steep meridian

Mean = 87.6°

 

Vertical steepening pattern, consistent with ATR dominance (J0 < 0)

  1. D, diopters; SD, standard deviation; WTR, with-the-rule; ATR, against-the-rule. Vector decomposition follows Thibos convention (J0 = -(C/2) × cos(2α); J45 = -(C/2) × sin(2α)).