\begin{table}%t8 \caption{\label{table8}Simulation results for the partly periodic cases $(S={1 / 3})$ 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 8A}} \\ & \multicolumn{8}{|c}{$t_{{i}}$ simulations with $F_{{{\rm AP}}}(t,S=1/3,\sigma_{{P}}=0.05)$ 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 & 0.20 & 0.01 & 0.20 & 0.01 & 0.101 & 0.002 & 0.029 & 0.000 \\ 25 & 0.79 & 0.01 & 0.85 & 0.01 & 0.599 & 0.002 & 0.659 & 0.004 \\ 50 & \textbf{0.99} & 0.00 & \textbf{1.00} & 0.00 & 0.977 & 0.000 & 0.992 & 0.000\wh \\ 75 & \textbf{1.00} & 0.00 & \textbf{1.00} & 0.00 & \textbf{1.000} & 0.000 & \textbf{1.000} & 0.000\wh \\ 100 & \textbf{1.00} & 0 & \textbf{1.00} & 0 & \textbf{1.000} & 0 & \textbf{1.000} & 0\wh \\ 200 & \textbf{1.00} & 0 & \textbf{1.00} & 0 & \textbf{1.000} & 0 & \textbf{1.000} & 0\wh \\ \hline & \multicolumn{8}{|c}{{Case 8B}} \\ & \multicolumn{8}{|c}{$t_{{i}}$ simulations with $F_{{{\rm AP}}}(t,S=1/3,\sigma_{{P}}=0.1)$ 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 & 0.10 & 0.01 & 0.09 & 0.01 & 0.023 & 0.001 & 0.002 & 0.000 \\ 25 & 0.56 & 0.01 & 0.66 & 0.02 & 0.319 & 0.002 & 0.385 & 0.005 \\ 50 & 0.96 & 0.00 & 0.98 & 0.00\wh & 0.876 & 0.001\wh & 0.941 & 0.002\wh \\ 75 & \textbf{1.00} & 0.00 & \textbf{1.00} & 0.00\wh & 0.991 & 0.000\wh & 0.998 & 0.000\wh \\ 100 & \textbf{1.00} & 0.00 & \textbf{1.00} & 0.00\wh & \textbf{1.000} & 0.000\wh & \textbf{1.000} & 0.000\wh \\ 200 & \textbf{1.00} & 0 & \textbf{1.00} & 0\wh & \textbf{1.000} & 0\wh & \textbf{1.000} & 0\wh \\ \hline & \multicolumn{8}{|c}{{Case 8C}} \\ & \multicolumn{8}{|c}{$t_{{i}}$ simulations with $F_{{{\rm AP}}}(t,S=1/3,\sigma_{{P}}=0.2)$ 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 & 0.01 & 0.01 & 0.01 & 0.01 & 0.001 & 0.001 & 0.000 & 0.000 \\ 25 & 0.04 & 0.01 & 0.07 & 0.03 & 0.010 & 0.002 & 0.015 & 0.003 \\ 50 & 0.18 & 0.02 & 0.31 & 0.05 & 0.064 & 0.003 & 0.123 & 0.009 \\ 75 & 0.38 & 0.02 & 0.56 & 0.04\wh & 0.189 & 0.004 & 0.318 & 0.011 \\ 100 & 0.59 & 0.01\wh & 0.76 & 0.03\wh & 0.342 & 0.004 & 0.539 & 0.011 \\ 200 & 0.97 & 0.00\wh & \textbf{0.99} & 0.00\wh & 0.889 & 0.002\wh & 0.966 & 0.003\wh \\ \hline & \multicolumn{8}{|c}{{Case 8D}} \\ & \multicolumn{8}{|c}{$t_{{i}}$ simulations with $F_{{{\rm AP}}}(t,S=1/3,\sigma_{{P}}=0.3)$ 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 & 0.00 & 0.01 & 0.01 & 0.03 & 0.000 & 0.002 & 0.001 & 0.004 \\ 50 & 0.00 & 0.02 & 0.01 & 0.04 & 0.001 & 0.002 & 0.002 & 0.006 \\ 75 & 0.01 & 0.02 & 0.02 & 0.05 & 0.001 & 0.002 & 0.004 & 0.008 \\ 100 & 0.01 & 0.02 & 0.03 & 0.06 & 0.002 & 0.002 & 0.007 & 0.010 \\ 200 & 0.04 & 0.02 & 0.10 & 0.08 & 0.009 & 0.003 & 0.029 & 0.016 \\ \hline \end{tabular} \end{table}