\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}