\begin{table}%t7 \caption{\label{table7}Simulation results for the fully periodic cases $(S=0)$ for the rounded data, otherwise as in Table~\ref{table4}.} %\centering \small \begin{tabular}{r|cc|cc|cc|cc} \hline \hline & \Correct & \Incorrect & \Correct & \Incorrect & \Correct & \Incorrect & \Correct & \Incorrect \\ \hline & \multicolumn{8}{|c}{{Case 7A}} \\ & \multicolumn{8}{|c}{$t_{{i}}$ simulations with $F_{{{\rm AP}}}(t,S=0,\sigma_{{P}}=0.05)$ rounded to multiples of $(3/\pi)\sigma_{{P}}$ } \\ $n $ & \multicolumn{2}{|c|}{$H_1$ rejected with $\gamma=0.01$} & \multicolumn{2}{|c|}{$H_0$ rejected with $\gamma=0.01$} & \multicolumn{2}{|c|}{$H_1$ rejected with $\gamma=0.001$} & \multicolumn{2}{|c}{$H_0$ rejected with $\gamma=0.001$} \\ \hline 10 & \textbf{1.00} & 0.00 & \textbf{1.00} & 0.00 & 0.993 & 0.000 & 0.510 & 0.000 \\ 25 & \textbf{1.00} & 0 & \textbf{1.00} & 0 & \textbf{1.000} & 0 & \textbf{1.000} & 0 \\ 50 & \textbf{1.00} & 0 & \textbf{1.00} & 0 & \textbf{1.000} & 0 & \textbf{1.000} & 0 \\ 75 & \textbf{1.00} & 0 & \textbf{1.00} & 0 & \textbf{1.000} & 0 & \textbf{1.000} & 0 \\ 100 & \textbf{1.00} & 0 & \textbf{1.00} & 0 & \textbf{1.000} & 0 & \textbf{1.000} & 0 \\ 200 & \textbf{1.00} & 0 & \textbf{1.00} & 0 & \textbf{1.000} & 0 & \textbf{1.000} & 0 \\ \hline & \multicolumn{8}{|c}{{Case 7B}} \\ & \multicolumn{8}{|c}{$t_{{i}}$ simulations with $F_{{{\rm AP}}}(t,S=0,\sigma_{{P}}=0.1)$ rounded to multiples of $(3/\pi)\sigma_{{P}}$} \\ $n $ & \multicolumn{2}{|c|}{$H_2$ rejected with $\gamma=0.01$} & \multicolumn{2}{|c|}{$H_0$ rejected with $\gamma=0.01$} & \multicolumn{2}{|c|}{$H_2$ rejected with $\gamma=0.001$} & \multicolumn{2}{|c}{$H_0$ rejected with $\gamma=0.001$} \\ \hline 10 & 0.64 & 0.01 & 0.62 & 0.01 & 0.228 & 0.002 & 0.024 & 0.000 \\ 25 & \textbf{1.00} & 0.00 & \textbf{1.00} & 0.00 & \textbf{1.000} & 0.000 & \textbf{1.000} & 0.000 \\ 50 & \textbf{1.00} & 0 & \textbf{1.00} & 0 & \textbf{1.000} & 0 & \textbf{1.000} & 0 \\ 75 & \textbf{1.00} & 0 & \textbf{1.00} & 0 & \textbf{1.000} & 0 & \textbf{1.000} & 0 \\ 100 & \textbf{1.00} & 0 & \textbf{1.00} & 0 & \textbf{1.000} & 0 & \textbf{1.000} & 0 \\ 200 & \textbf{1.00} & 0 & \textbf{1.00} & 0 & \textbf{1.000} & 0 & \textbf{1.000} & 0 \\ \hline & \multicolumn{8}{|c}{{Case 7C}} \\ & \multicolumn{8}{|c}{$t_{{i}}$ simulations with $F_{{{\rm AP}}}(t,S=0,\sigma_{{P}}=0.2)$ rounded to multiples of $(3/\pi)\sigma_{{P}}$} \\ $n $ & \multicolumn{2}{|c|}{$H_3$ rejected with $\gamma=0.01$} & \multicolumn{2}{|c|}{$H_0$ rejected with $\gamma=0.01$} & \multicolumn{2}{|c|}{$H_3$ rejected with $\gamma=0.001$} & \multicolumn{2}{|c}{$H_0$ rejected with $\gamma=0.001$} \\ \hline 10 & 0.03 & 0.01 & 0.03 & 0.01 & 0.003 & 0.001 & 0.000 & 0.000 \\ 25 & 0.24 & 0.02 & 0.33 & 0.03 & 0.085 & 0.003 & 0.123 & 0.005 \\ 50 & 0.74 & 0.01\wh & 0.86 & 0.02\wh & 0.511 & 0.004 & 0.656 & 0.008 \\ 75 & 0.95 & 0.00\wh & 0.98 & 0.01\wh & 0.865 & 0.003 & 0.934 & 0.004\wh \\ 100 & \textbf{0.99} & 0.00\wh & \textbf{1.00} & 0.00\wh & 0.974 & 0.001\wh & 0.992 & 0.001\wh \\ 200 & \textbf{1.00} & 0\wh & \textbf{1.00} & 0\wh & \textbf{1.000} & 0\wh & \textbf{1.000} & 0\wh \\ \hline & \multicolumn{8}{|c}{{Case 7D}} \\ & \multicolumn{8}{|c}{$t_{{i}}$ simulations with $F_{{{\rm AP}}}(t,S=0,\sigma_{{P}}=0.3)$ rounded to multiples of $(3/\pi)\sigma_{{P}}$} \\ $n $ & \multicolumn{2}{|c|}{$H_4$ rejected with $\gamma=0.01$} & \multicolumn{2}{|c|}{$H_0$ rejected with $\gamma=0.01$} & \multicolumn{2}{|c|}{$H_4$ rejected with $\gamma=0.001$} & \multicolumn{2}{|c}{$H_0$ rejected with $\gamma=0.001$} \\ \hline 10 & 0.00 & 0.01 & 0.00 & 0.01 & 0.000 & 0.003 & 0.000 & 0.002 \\ 25 & 0.01 & 0.01 & 0.01 & 0.03 & 0.001 & 0.002 & 0.002 & 0.004 \\ 50 & 0.01 & 0.02 & 0.04 & 0.05 & 0.003 & 0.002 & 0.007 & 0.008 \\ 75 & 0.03 & 0.02 & 0.07 & 0.07 & 0.007 & 0.004 & 0.018 & 0.011 \\ 100 & 0.05 & 0.02 & 0.12 & 0.08 & 0.014 & 0.004 & 0.037 & 0.016 \\ 200 & 0.21 & 0.04 & 0.37 & 0.11 & 0.087 & 0.010 & 0.180 & 0.031 \\ \hline \end{tabular} \end{table}