Figure 5
From: Quantification of expected information gain in visual acuity and contrast sensitivity tests
Distributions and information gain in visual acuity tests. (a,b) Distributions of VA threshold and VA range of the simulated observers in Simulations 1 and 2. (c) From left to right: Distributions of the test scores \(P\left({y}_{j}|{x}_{i}\right)\) of one representative simulated observer \({x}_{i}\) in the Snellen, ETDRS (3-mistake rule), and qVA test (45 optotypes), with results from the qVA test scored as VA-alone, and as both VA threshold and VA range. (d,e) Distributions of the test scores \(P\left({y}_{j}\right)\) of the populations in Simulations 1 and 2, respectively. (f) Expected information gain \(IG\left(Y|X\right)\) of the various tests in Simulation 1 (left) and Simulation 2 (right). For ETDRS, results from the 3-, 4-, 5-mistake and whole chart rules are shown. For qVA, results from testing with 15, 45, and 90 optotypes are shown. The blue bars represent \(IG\left(Y|X\right)\); the gray bars represent residual entropy \(H\left(Y|X\right)\).
