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. Author manuscript; available in PMC: 2013 Jun 4.
Published in final edited form as: J Vis. 2011 Jan 26;11(1):10.1167/11.1.21 21. doi: 10.1167/11.1.21

Table 3.

The slope of the cone detection, z-transformed ROC curve (σNSN) for each stimulus strength, and the exponent values (ρ) describing the rate of change of discriminability (Δm) with the stimulus strength (Δm ∝ Sρ) for cone and rod detection. Cone and rod values reported for subject 1 are the mean and standard deviation across 6 and 4 data sets, respectively. Rod values reported for subject 4 are the mean and range for 2 data sets. Cone ROC slopes for subject 1 only and averaged across all subjects were significantly less than 1 (p < 0.05*, p < 0.005**; unpaired, 2-tailed t-test). ρ was greater for cone than rod detection, but in both cases significantly higher than 1 (p = 0.03, cones; p = 0.02, rods). High Intensity ROC slope for subject 5 could not be calculated due to 100% seeing frequency. Also shown is the average ρ value calculated for Sakitt's three subjects from the detection data reported in Sakitt (1972).

ROC slope = σNSN (cone detection) Exponent (ρ) (where Δm ∝Sρ)
Condition Low intensity Medium intensity High intensity Cones Rods
Subject 1 0.77 ± 0.19* 0.62 ± 0.17** 0.56 ± 0.12** 2.99 ± 0.99* 1.60 ± 0.37
Subject 2 0.60 0.28 0.50 3.36 1.64
Subject 3 0.52 0.31 0.41 5.91 n/a
Subject 4 0.69 0.55 0.65 2.51 1.99 (1.52 - 2.47)
Subject 5 0.73 0.28 n/a 2.03 n/a
Subject 6 n/a n/a n/a n/a 1.33
Average 0.66 ± 0.10** 0.41 ± 0.16** 0.53 ± 0.10** 3.36 ± 1.51* 1.64 ± 0.27*
Sakitt, 1972 n/a n/a n/a n/a 1.18 ± 0.22