Bureau of Transportation Statistics (BTS)
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Table A2 - Values of Fisher and Törnqvist Indexes with a Single Outlier τ = 0, μ = 1

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Outlier
y
n = 5 n = 10 n = 15
F T F T F T
0.010 0.80 0.63 0.90 0.79 0.93 0.86
0.025 0.81 0.68 0.90 0.83 0.94 0.88
0.050 0.81 0.73 0.91 0.85 0.94 0.90
0.100 0.82 0.77 0.91 0.88 0.94 0.92
10 2.80 2.87 1.90 2.06 1.60 1.74
20 4.80 4.70 2.90 3.26 2.27 2.67
50 10.8 9.05 5.90 6.38 4.27 5.25
80 16.8 12.49 8.90 8.92 6.27 7.47
90 18.8 13.52 9.90 9.68 6.93 8.14
100 20.8 14.51 10.9 10.41 7.60 8.79

Note: Bold indicates the points at which y becomes large enough, relative to n, to render the Törnqvist index better than the Fisher for approximating the mean µ = 1 in the presence of a high outlier.



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