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. 2015 Mar 13;10(3):e0118589. doi: 10.1371/journal.pone.0118589

Table 2. Reliability of several constant stimuli protocols based on simulated administration to the 590 normosmic distribution, n = 1,000 subjects with 500 replications.

Number of Stimuli 16 12 8 6 (6)x2 a
Evenly Distributed Dilutions Administered 1–16 1–3, 5–7, 9–11, 13–16 2–16 (Even) b 2, 5, 8, 9, 12, 15 (2, 5, 8, 9, 12, 15)x2
Mean Reliability c 0.844 0.797 0.709 0.651 0.806
5%, 50%, 95% 0.828, 0.845, 0.860 0.775, 0.796, 0.817 0.682, 0.709, 0.736 0.616, 0.652, 0.680 0.787, 0.806, 0.825
% of Convergence Failures 0.0% 0.0% 6.6% 4.2% 0.0%
Centered Dilutions Administered NA d 5–16 7–14 8–13 (8–13)x2
Mean Reliability 0.809 0.732 0.665 0.772
5%, 50%, 95% 0.791, 0.809, 0.826 0.708, 0.731, 0.755 0.637, 0.664, 0.694 0.753, 0.772, 0.791
% of Convergence Failures 0.0% 0.0% 0.0% 0.0%
Tails Dilutions Administered NA 1–6, 11–16 5–8, 13–16 5–7, 14–16 (5–7, 14–16)x2
Mean Reliability 0.727 0.687 0.555 0.725
5%, 50%, 95% 0.697, 0.727, 0.754 0.662, 0.688, 0.713 0.507, 0.558, 0.597 0.698, 0.725, 0.750
% of Convergence Failures 0.0% 0.0% 31.8% 0.0%
Shifted Dilutions Administered NA 1–12 1, 3, 5, 7–11 1, 3, 5, 7, 9, 11 (1, 3, 5, 7, 9, 11)x2
Mean Reliability 0.796 0.733 0.644 0.783
5%, 50%, 95% 0.775, 0.796, 0.815 0.709, 0.733, 0.755 0.614, 0.644, 0.672 0.761, 0.783, 0.803
% of Convergence Failures 0.0% 0.0% 4.2% 0.0%

aThis configuration presents the identical 6 dilutions used for a given protocol twice for a total of 12 stimuli

bA configuration using 8 odd dilutions yielded similar results

cAll reliabilities have a standard error ≤ 0.001

dNA = not applicable.