Table 2 Entropy, information gain and number of categories from contrast sensitivity tests.
From: Quantification of expected information gain in visual acuity and contrast sensitivity tests
Pelli–Robson | CSV-1000 | \(q\mathrm{CSF}\) | |||||||
|---|---|---|---|---|---|---|---|---|---|
AULCSF | CSF | ||||||||
15 | 25 | 50 | 15 | 25 | 50 | ||||
Simulation 1 | H(Y) (bits) | 4.0 | 9.9 | 5.4 | 5.4 | 5.4 | 16.2 | 16.0 | 15.7 |
H(Y|X) (bits) | 1.7 | 6.4 | 2.2 | 1.8 | 1.4 | 8.5 | 7.8 | 6.7 | |
IG (bits) | 2.3 | 3.5 | 3.2 | 3.6 | 4.1 | 7.6 | 8.1 | 9.0 | |
Categories | 5.0 | 11.1 | 9.1 | 12.1 | 16.7 | 196.1 | 281.2 | 498.0 | |
# Optotypes | 27.9 | 11.0 | 45 | 75 | 150 | 45 | 75 | 150 | |
IG/Optotype(bits) | 0.08 | 0.32 | 0.07 | 0.05 | 0.03 | 0.17 | 0.11 | 0.06 | |
IG/log2(# Optotype)(bits) | 0.48 | 1.01 | 0.58 | 0.58 | 0.56 | 1.39 | 1.31 | 1.24 | |
Simulation 2 | H(Y) (bits) | 2.8 | 7.8 | 4.9 | 4.8 | 4.8 | 13.9 | 13.5 | 12.8 |
H(Y|X) (bits) | 1.7 | 6.5 | 2.7 | 2.3 | 1.7 | 9.4 | 8.8 | 7.8 | |
IG (bits) | 1.1 | 1.4 | 2.1 | 2.6 | 3.1 | 4.6 | 4.7 | 5.1 | |
Categories | 2.1 | 2.6 | 4.3 | 5.9 | 8.6 | 23.7 | 26.0 | 34.1 | |
# Optotypes | 36.8 | 15.2 | 45 | 75 | 150 | 45 | 75 | 150 | |
IG/Optotype(bits) | 0.03 | 0.09 | 0.05 | 0.03 | 0.02 | 0.10 | 0.06 | 0.03 | |
IG/log2(# Optotype)(bits) | 0.21 | 0.35 | 0.38 | 0.41 | 0.43 | 0.83 | 0.75 | 0.70 | |
