\begin{table}%t4 \caption {\label{tab:fourier}Percentage of galaxies classified as barred and unbarred galaxies erroneously found to be barred by applying the Fourier analysis method to the sample of artificial galaxies. } %\centering \par \begin{tabular}{c c c c c} \hline\hline \noalign{\smallskip} $\Delta \phi_2$ & \multicolumn{3}{c}{Barred} & \multicolumn{1}{c}{Unbarred} \\ & Ferrers bars & Freeman bars & Flat bars & \\ \noalign{\smallskip} \hline \multicolumn{5}{c}{$\Delta (I_2/I_0)=0.20$} \\ 10$^{\circ}$ & 29 & 26 & 18 & 5 \\ 20$^{\circ}$ & 44 & 42 & 31 & 8 \\ 30$^{\circ}$ & 51 & 51 & 37 & 8 \\ \hline \multicolumn{5}{c}{$\Delta (I_2/I_0)=0.10$} \\ 10$^{\circ}$ & 47 & 44 & 35 & 19 \\ 20$^{\circ}$ & 63 & 62 & 52 & 26 \\ 30$^{\circ}$ & 69 & 70 & 60 & 31 \\ \hline \multicolumn{5}{c}{$\Delta (I_2/I_0)=0.08$} \\ 10$^{\circ}$ & 53 & 50 & 40 & 22 \\ 20$^{\circ}$ & 67 & 67 & 58 & 32 \\ 30$^{\circ}$ & 73 & 74 & 65 & 36 \\ \hline \multicolumn{5}{c}{$\Delta (I_2/I_0)=0.05$} \\ 10$^{\circ}$ & 62 & 61 & 53 & 29 \\ 20$^{\circ}$ & 75 & 76 & 70 & 41 \\ 30$^{\circ}$ & 81 & 82 & 75 & 48 \\ \hline \end{tabular} \end{table}