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Table 9:

Simulation results for the partly periodic cases (S=2 / 3) for the rounded data, otherwise as in Table 4.
  ``Real'' ``False'' ``Real'' ``False'' ``Real'' ``False'' ``Real'' ``False''
  Case 9A
  ti simulations with $F_{{{\rm AP}}}(t,S=2/3,\sigma_{{P}}=0.05)$ rounded to multiples of $(3/\pi)\sigma_{{P}}$
n H1 rejected with $\gamma =0.01$ H0 rejected with $\gamma =0.01$ H1 rejected with $\gamma =0.001$ H0 rejected with $\gamma =0.001$
10 0.02 0.01 0.02 0.02 0.004 0.001 0.001 0.000
25 0.08 0.01 0.12 0.03 0.024 0.002 0.035 0.004
50 0.25 0.01 0.42 0.05 0.110 0.002 0.214 0.010
75 0.48 0.01 0.68 0.04 $\downarrow$ 0.281 0.003 0.462 0.012
100 0.68 0.01 0.84 0.03 $\downarrow$ 0.463 0.002 $\downarrow$ 0.682 0.009
200 0.98 0.00 $\downarrow$ 1.00 0.00 $\downarrow$ 0.922 0.001 $\downarrow$ 0.986 0.001 $\downarrow$
  Case 9B
  ti simulations with $F_{{{\rm AP}}}(t,S=2/3,\sigma_{{P}}=0.1)$ rounded to multiples of $(3/\pi)\sigma_{{P}}$
n H2 rejected with $\gamma =0.01$ H0 rejected with $\gamma =0.01$ H2 rejected with $\gamma =0.001$ H0 rejected with $\gamma =0.001$
10 0.01 0.01 0.01 0.01 0.001 0.001 0.000 0.000
25 0.04 0.01 0.07 0.03 0.009 0.002 0.015 0.003
50 0.14 0.01 0.26 0.05 0.048 0.002 0.103 0.008
75 0.29 0.01 0.48 0.05 0.122 0.002 0.260 0.010
100 0.45 0.01 0.67 0.04 $\downarrow$ 0.246 0.003 0.442 0.011
200 0.89 0.00 $\downarrow$ 0.97 0.01 $\downarrow$ 0.743 0.001 $\downarrow$ 0.918 0.005 $\downarrow$
  Case 9C
  ti simulations with $F_{{{\rm AP}}}(t,S=2/3,\sigma_{{P}}=0.2)$ rounded to multiples of $(3/\pi)\sigma_{{P}}$
n H3 rejected with $\gamma =0.01$ H0 rejected with $\gamma =0.01$ H3 rejected with $\gamma =0.001$ H0 rejected with $\gamma =0.001$
10 0.00 0.01 0.00 0.01 0.000 0.001 0.000 0.000
25 0.00 0.01 0.01 0.03 0.001 0.001 0.002 0.002
50 0.01 0.01 0.03 0.04 0.002 0.001 0.006 0.005
75 0.02 0.01 0.06 0.05 0.005 0.001 0.015 0.006
100 0.04 0.01 0.10 0.05 0.008 0.001 0.029 0.007
200 0.14 0.01 0.32 0.06 0.046 0.002 0.142 0.011
  Case 9D
  ti simulations with $F_{{{\rm AP}}}(t,S=2/3,\sigma_{{P}}=0.3)$ rounded to multiples of $(3/\pi)\sigma_{{P}}$
n H4 rejected with $\gamma =0.01$ H0 rejected with $\gamma =0.01$ H4 rejected with $\gamma =0.001$ H0 rejected with $\gamma =0.001$
10 0.00 0.01 0.00 0.01 0.000 0.003 0.000 0.002
25 0.00 0.01 0.00 0.03 0.000 0.002 0.000 0.004
50 0.00 0.01 0.00 0.04 0.000 0.002 0.001 0.006
75 0.00 0.01 0.01 0.04 0.000 0.002 0.001 0.007
100 0.00 0.01 0.01 0.05 0.000 0.002 0.001 0.008
200 0.00 0.01 0.01 0.05 0.000 0.002 0.002 0.009

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