\section{Results}



\begin{figure*}[h!]
\small
\begin{center}
\scalebox{0.95}{
\begin{tabular}{  c  c  c  c }
%\begin{figure}[h!]
\toprule
n=4 & n=3 & n=2 & n=1 \\ \hline 
%\begin{center}
%stat 4- 3,5,10,20
\begin{tabular}{l@{~}|l@{~}|r@{~}r@{~}@{~}r@{~}|}
%\begin{tabular}{l@{~}|l@{~}|r@{~}|r@{~}|}
%\multicolumn{2}{c}{~}&\multicolumn{5}{c}{quartiles}\\\cline{3-5}
%&min& & median & &max\\\cline{3-5}
%\multicolumn{2}{c}{~}&\multicolumn{2}{c}{Before}\\
%\multicolumn{2}{c}{~}&\multicolumn{2}{c}{percentiles} \\\cline{3-4}
%Clusters& Type & Before & After \\\hline
\multicolumn{2}{c}{~}&\multicolumn{3}{c}{Before}\\
\multicolumn{2}{c}{~}&\multicolumn{3}{c}{percentiles}\\\cline{3-5}
Clusters & Types & 25\%& 50\% & 75\% \\\hline
\multirow{3}{*}{3} & pd & 90& 95& 100  \\
 & pf & 0& 3& 4 \\
 & ranks & 264& 614& 1068 \\ \hline
\multirow{3}{*}{5} & pd & 94& 100& 100 \\
 & pf & 0& 0& 0   \\
 & ranks & 374& 855& 1225\\ \hline
\multirow{3}{*}{10} & pd & 75& 100& 100 \\
 & pf & 0& 0& 0 \\
 & ranks & 361& 783& 1254 \\ \hline
\multirow{3}{*}{20} & pd & 0& 100& 100 \\
 & pf & 0& 0& 3 \\
 & ranks & 377& 762& 1256 \\ \hline 
%\multicolumn{5}{c}{~}&~~~~~0~~~~~~~~50~~~~100 
\end{tabular}
%\end{center}

&
%stat 3 - 3,5,10,20
\begin{tabular}{l@{~}|l@{~}|r@{~}r@{~}@{~}r@{~}|}
%\begin{tabular}{l@{~}|l@{~}|r@{~}|r@{~}|}
%\multicolumn{2}{c}{~}&\multicolumn{5}{c}{quartiles}\\\cline{3-5}
%&min& & median & &max\\\cline{3-5}
%\multicolumn{2}{c}{~}&\multicolumn{2}{c}{Before}\\
%\multicolumn{2}{c}{~}&\multicolumn{2}{c}{percentiles} \\\cline{3-4}
%Clusters& Type & Before & After \\\hline
\multicolumn{2}{c}{~}&\multicolumn{3}{c}{Before}\\
\multicolumn{2}{c}{~}&\multicolumn{3}{c}{percentiles}\\\cline{3-5}
Clusters & Types & 25\%& 50\% & 75\% \\\hline
\multirow{3}{*}{3} & pd & 90& 95& 100  \\
 & pf & 0& 3& 4 \\
 & ranks & 271& 658& 1187 \\ \hline
\multirow{3}{*}{5} & pd & 94& 100& 100 \\
 & pf & 0& 0& 0   \\
 & ranks & 385& 860& 1258\\ \hline
\multirow{3}{*}{10} & pd & 75& 100& 100 \\
 & pf & 0& 0& 0 \\
 & ranks & 371& 797& 1243 \\ \hline
\multirow{3}{*}{20} & pd & 0& 100& 100 \\
 & pf & 0& 0& 3 \\
 & ranks & 436& 858& 1332 \\ \hline 
%\multicolumn{5}{c}{~}&~~~~~0~~~~~~~~50~~~~100 
\end{tabular}

&
%stat 2 - 3,5,10,20
\begin{tabular}{l@{~}|l@{~}|r@{~}r@{~}@{~}r@{~}|}
%\begin{tabular}{l@{~}|l@{~}|r@{~}|r@{~}|}
%\multicolumn{2}{c}{~}&\multicolumn{5}{c}{quartiles}\\\cline{3-5}
%&min& & median & &max\\\cline{3-5}
%\multicolumn{2}{c}{~}&\multicolumn{2}{c}{Before}\\
%\multicolumn{2}{c}{~}&\multicolumn{2}{c}{percentiles} \\\cline{3-4}
%Clusters& Type & Before & After \\\hline
\multicolumn{2}{c}{~}&\multicolumn{3}{c}{Before}\\
\multicolumn{2}{c}{~}&\multicolumn{3}{c}{percentiles}\\\cline{3-5}
Clusters & Types & 25\%& 50\% & 75\% \\\hline
\multirow{3}{*}{3} & pd & 90& 95& 100  \\
 & pf & 0& 3& 4 \\
 & ranks & 282& 672& 1178 \\ \hline
\multirow{3}{*}{5} & pd & 94& 100& 100 \\
 & pf & 0& 0& 0   \\
 & ranks & 401& 861& 1285\\ \hline
\multirow{3}{*}{10} & pd & 75& 100& 100 \\
 & pf & 0& 0& 0 \\
 & ranks & 386& 820& 1314 \\ \hline
\multirow{3}{*}{20} & pd & 0& 100& 100 \\
 & pf & 0& 0& 3 \\
 & ranks & 437& 878& 1345 \\ \hline 
%\multicolumn{5}{c}{~}&~~~~~0~~~~~~~~50~~~~100 
\end{tabular}

&
%stat 1 - 3,5,10,20
\begin{tabular}{l@{~}|l@{~}|r@{~}r@{~}@{~}r@{~}|}
%\begin{tabular}{l@{~}|l@{~}|r@{~}|r@{~}|}
%\multicolumn{2}{c}{~}&\multicolumn{5}{c}{quartiles}\\\cline{3-5}
%&min& & median & &max\\\cline{3-5}
%\multicolumn{2}{c}{~}&\multicolumn{2}{c}{Before}\\
%\multicolumn{2}{c}{~}&\multicolumn{2}{c}{percentiles} \\\cline{3-4}
%Clusters& Type & Before & After \\\hline
\multicolumn{2}{c}{~}&\multicolumn{3}{c}{Before}\\
\multicolumn{2}{c}{~}&\multicolumn{3}{c}{percentiles}\\\cline{3-5}
Clusters & Types & 25\%& 50\% & 75\% \\\hline
\multirow{3}{*}{3} & pd & 90& 95& 100  \\
 & pf & 0& 3& 4 \\
 & ranks & 288& 691& 1212 \\ \hline
\multirow{3}{*}{5} & pd & 94& 100& 100 \\
 & pf & 0& 0& 0   \\
 & ranks & 410& 857& 1306\\ \hline
\multirow{3}{*}{10} & pd & 75& 100& 100 \\
 & pf & 0& 0& 0 \\
 & ranks & 412& 845& 1323 \\ \hline
\multirow{3}{*}{20} & pd & 0& 100& 100 \\
 & pf & 0& 0& 3 \\
 & ranks & 442& 896& 1356 \\ \hline 
%\multicolumn{5}{c}{~}&~~~~~0~~~~~~~~50~~~~100 
\end{tabular}

\\ \\ 

%\begin{center}
%stat 4 - 3,5,10,20
\begin{tabular}{l@{~}|l@{~}|r@{~}r@{~}@{~}r@{~}|}
%\begin{tabular}{l@{~}|l@{~}|r@{~}|r@{~}|}
%\multicolumn{2}{c}{~}&\multicolumn{5}{c}{quartiles}\\\cline{3-5}
%&min& & median & &max\\\cline{3-5}
%\multicolumn{2}{c}{~}&\multicolumn{2}{c}{Before}\\
%\multicolumn{2}{c}{~}&\multicolumn{2}{c}{percentiles} \\\cline{3-4}
%Clusters& Type & Before & After \\\hline
\multicolumn{2}{c}{~}&\multicolumn{3}{c}{After}\\
\multicolumn{2}{c}{~}&\multicolumn{3}{c}{percentiles}\\\cline{3-5}
Clusters & Types & 25\%& 50\% & 75\% \\\hline
\multirow{3}{*}{3} & pd & 49& 82& 100  \\
 & pf & 0& 9& 20 \\
 & ranks & 787& 1228& 1609 \\ \hline
\multirow{3}{*}{5} & pd & 94& 100& 100 \\
 & pf & 0& 0& 0   \\
 & ranks & 563& 988& 1532\\ \hline
\multirow{3}{*}{10} & pd & 60& 100& 100 \\
 & pf & 0& 0& 3 \\
 & ranks & 578& 1048& 1463 \\ \hline
\multirow{3}{*}{20} & pd & 0& 67& 100 \\
 & pf & 0& 0& 3 \\
 & ranks & 601& 1081& 1481 \\ \hline 
%\multicolumn{5}{c}{~}&~~~~~0~~~~~~~~50~~~~100 
\end{tabular}

&
%stat 3 - 3,5,10,20
\begin{tabular}{l@{~}|l@{~}|r@{~}r@{~}@{~}r@{~}|}
%\begin{tabular}{l@{~}|l@{~}|r@{~}|r@{~}|}
%\multicolumn{2}{c}{~}&\multicolumn{5}{c}{quartiles}\\\cline{3-5}
%&min& & median & &max\\\cline{3-5}
%\multicolumn{2}{c}{~}&\multicolumn{2}{c}{Before}\\
%\multicolumn{2}{c}{~}&\multicolumn{2}{c}{percentiles} \\\cline{3-4}
%Clusters& Type & Before & After \\\hline
\multicolumn{2}{c}{~}&\multicolumn{3}{c}{After}\\
\multicolumn{2}{c}{~}&\multicolumn{3}{c}{percentiles}\\\cline{3-5}
Clusters & Types & 25\%& 50\% & 75\% \\\hline
\multirow{3}{*}{3} & pd & 55& 93& 100  \\
 & pf & 0& 4& 19 \\
 & ranks & 723& 1105& 1544 \\ \hline
\multirow{3}{*}{5} & pd & 90& 100& 100 \\
 & pf & 0& 0& 3   \\
 & ranks & 550& 983& 1517\\ \hline
\multirow{3}{*}{10} & pd & 67& 100& 100 \\
 & pf & 0& 0& 3 \\
 & ranks & 563& 1061& 1463 \\ \hline
\multirow{3}{*}{20} & pd & 0& 75& 100 \\
 & pf & 0& 0& 3 \\
 & ranks & 498& 993& 1433 \\ \hline 
%\multicolumn{5}{c}{~}&~~~~~0~~~~~~~~50~~~~100 
\end{tabular}

&
%stat 2 - 3,5,10,20
\begin{tabular}{l@{~}|l@{~}|r@{~}r@{~}@{~}r@{~}|}
%\begin{tabular}{l@{~}|l@{~}|r@{~}|r@{~}|}
%\multicolumn{2}{c}{~}&\multicolumn{5}{c}{quartiles}\\\cline{3-5}
%&min& & median & &max\\\cline{3-5}
%\multicolumn{2}{c}{~}&\multicolumn{2}{c}{Before}\\
%\multicolumn{2}{c}{~}&\multicolumn{2}{c}{percentiles} \\\cline{3-4}
%Clusters& Type & Before & After \\\hline
\multicolumn{2}{c}{~}&\multicolumn{3}{c}{After}\\
\multicolumn{2}{c}{~}&\multicolumn{3}{c}{percentiles}\\\cline{3-5}
Clusters & Types & 25\%& 50\% & 75\% \\\hline
\multirow{3}{*}{3} & pd & 70& 94& 100  \\
 & pf & 0& 4& 14 \\
 & ranks & 724& 1117& 1544 \\ \hline
\multirow{3}{*}{5} & pd & 90& 100& 100 \\
 & pf & 0& 0& 0   \\
 & ranks & 532& 976& 1494\\ \hline
\multirow{3}{*}{10} & pd & 67& 100& 100 \\
 & pf & 0& 0& 3 \\
 & ranks & 559& 1017& 1445 \\ \hline
\multirow{3}{*}{20} & pd & 0& 78& 100 \\
 & pf & 0& 0& 3 \\
 & ranks & 495& 973& 1426 \\ \hline 
%\multicolumn{5}{c}{~}&~~~~~0~~~~~~~~50~~~~100 
\end{tabular}

&
%stat 1 - 3,5,10,20
\begin{tabular}{l@{~}|l@{~}|r@{~}r@{~}@{~}r@{~}|}
%\begin{tabular}{l@{~}|l@{~}|r@{~}|r@{~}|}
%\multicolumn{2}{c}{~}&\multicolumn{5}{c}{quartiles}\\\cline{3-5}
%&min& & median & &max\\\cline{3-5}
%\multicolumn{2}{c}{~}&\multicolumn{2}{c}{Before}\\
%\multicolumn{2}{c}{~}&\multicolumn{2}{c}{percentiles} \\\cline{3-4}
%Clusters& Type & Before & After \\\hline
\multicolumn{2}{c}{~}&\multicolumn{3}{c}{After}\\
\multicolumn{2}{c}{~}&\multicolumn{3}{c}{percentiles}\\\cline{3-5}
Clusters & Types & 25\%& 50\% & 75\% \\\hline
\multirow{3}{*}{3} & pd & 70& 100& 100  \\
 & pf & 0& 4& 13 \\
 & ranks & 696& 1095& 1522 \\ \hline
\multirow{3}{*}{5} & pd & 89& 100& 100 \\
 & pf & 0& 0& 3   \\
 & ranks & 522& 978& 1471\\ \hline
\multirow{3}{*}{10} & pd & 67& 100& 100 \\
 & pf & 0& 0& 3 \\
 & ranks & 519& 1003& 1436 \\ \hline
\multirow{3}{*}{20} & pd & 0& 82& 100 \\
 & pf & 0& 0& 3 \\
 & ranks & 488& 958& 1418 \\ \hline 
%\multicolumn{5}{c}{~}&~~~~~0~~~~~~~~50~~~~100 
\\ 
\end{tabular}
\end{tabular}}
\caption{Results showing the effect of instance selection before and after on ranks, pd and pf for data sets with 3, 5, 10 and 20 clusters and choosing values of each attribute with the highest ranks(k = 1)}
\label{fig:results}
\end{center}
\end{figure*}

<<<<<<< .mine
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5
\begin{comment}
=======
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5
>>>>>>> .r10425

<<<<<<< .mine
\begin{figure*}[h!]
\small
\begin{center}
\scalebox{0.95}{
\begin{tabular}{  c  c  c  c }
%\begin{figure}[h!]
\toprule
n=4 & n=3 & n=2 & n=1 \\ \hline 
%\begin{center}
%stat 4- 3, 419.5 880.0 1334.5
\begin{tabular}{l@{~}|l@{~}|r@{~}r@{~}@{~}r@{~}|}
%\begin{tabular}{l@{~}|l@{~}|r@{~}|r@{~}|}
%\multicolumn{2}{c}{~}&\multicolumn{5}{c}{quartiles}\\\cline{3-5}
%&min& & median & &max\\\cline{3-5}
%\multicolumn{2}{c}{~}&\multicolumn{2}{c}{Before}\\
%\multicolumn{2}{c}{~}&\multicolumn{2}{c}{percentiles} \\\cline{3-4}
%Clusters& Type & Before & After \\\hline
\multicolumn{2}{c}{~}&\multicolumn{3}{c}{Before}\\
\multicolumn{2}{c}{~}&\multicolumn{3}{c}{percentiles}\\\cline{3-5}
Clusters & Types & 25\%& 50\% & 75\% \\\hline
\multirow{3}{*}{3} & pd & 90& 95& 100  \\
 & pf & 0& 3& 4 \\
 & ranks & 264& 614& 1068 \\ \hline
\multirow{3}{*}{5} & pd & 94& 100& 100 \\
 & pf & 0& 0& 0   \\
 & ranks & 374& 855& 1225\\ \hline
\multirow{3}{*}{10} & pd & 75& 100& 100 \\
 & pf & 0& 0& 0 \\
 & ranks & 361& 783& 1254 \\ \hline
\multirow{3}{*}{20} & pd & 0& 100& 100 \\
 & pf & 0& 0& 3 \\
 & ranks & 377& 762& 1256 \\ \hline 
%\multicolumn{5}{c}{~}&~~~~~0~~~~~~~~50~~~~100 
\end{tabular}
%\end{center}

&
%stat 3 - 3,
\begin{tabular}{l@{~}|l@{~}|r@{~}r@{~}@{~}r@{~}|}
%\begin{tabular}{l@{~}|l@{~}|r@{~}|r@{~}|}
%\multicolumn{2}{c}{~}&\multicolumn{5}{c}{quartiles}\\\cline{3-5}
%&min& & median & &max\\\cline{3-5}
%\multicolumn{2}{c}{~}&\multicolumn{2}{c}{Before}\\
%\multicolumn{2}{c}{~}&\multicolumn{2}{c}{percentiles} \\\cline{3-4}
%Clusters& Type & Before & After \\\hline
\multicolumn{2}{c}{~}&\multicolumn{3}{c}{Before}\\
\multicolumn{2}{c}{~}&\multicolumn{3}{c}{percentiles}\\\cline{3-5}
Clusters & Types & 25\%& 50\% & 75\% \\\hline
\multirow{3}{*}{3} & pd & 90& 95& 100  \\
 & pf & 0& 3& 4 \\
 & ranks & 271& 658& 1187 \\ \hline
\multirow{3}{*}{5} & pd & 94& 100& 100 \\
 & pf & 0& 0& 0   \\
 & ranks & 385& 860& 1258\\ \hline
\multirow{3}{*}{10} & pd & 75& 100& 100 \\
 & pf & 0& 0& 0 \\
 & ranks & 371& 797& 1243 \\ \hline
\multirow{3}{*}{20} & pd & 0& 100& 100 \\
 & pf & 0& 0& 3 \\
 & ranks & 436& 858& 1332 \\ \hline 
%\multicolumn{5}{c}{~}&~~~~~0~~~~~~~~50~~~~100 
\end{tabular}

&
%stat 2 - 3,
\begin{tabular}{l@{~}|l@{~}|r@{~}r@{~}@{~}r@{~}|}
%\begin{tabular}{l@{~}|l@{~}|r@{~}|r@{~}|}
%\multicolumn{2}{c}{~}&\multicolumn{5}{c}{quartiles}\\\cline{3-5}
%&min& & median & &max\\\cline{3-5}
%\multicolumn{2}{c}{~}&\multicolumn{2}{c}{Before}\\
%\multicolumn{2}{c}{~}&\multicolumn{2}{c}{percentiles} \\\cline{3-4}
%Clusters& Type & Before & After \\\hline
\multicolumn{2}{c}{~}&\multicolumn{3}{c}{Before}\\
\multicolumn{2}{c}{~}&\multicolumn{3}{c}{percentiles}\\\cline{3-5}
Clusters & Types & 25\%& 50\% & 75\% \\\hline
\multirow{3}{*}{3} & pd & 90& 95& 100  \\
 & pf & 0& 3& 4 \\
 & ranks & 282& 672& 1178 \\ \hline
\multirow{3}{*}{5} & pd & 94& 100& 100 \\
 & pf & 0& 0& 0   \\
 & ranks & 401& 861& 1285\\ \hline
\multirow{3}{*}{10} & pd & 75& 100& 100 \\
 & pf & 0& 0& 0 \\
 & ranks & 386& 820& 1314 \\ \hline
\multirow{3}{*}{20} & pd & 0& 100& 100 \\
 & pf & 0& 0& 3 \\
 & ranks & 437& 878& 1345 \\ \hline 
%\multicolumn{5}{c}{~}&~~~~~0~~~~~~~~50~~~~100 
\end{tabular}

&
%stat 1 - 3,
\begin{tabular}{l@{~}|l@{~}|r@{~}r@{~}@{~}r@{~}|}
%\begin{tabular}{l@{~}|l@{~}|r@{~}|r@{~}|}
%\multicolumn{2}{c}{~}&\multicolumn{5}{c}{quartiles}\\\cline{3-5}
%&min& & median & &max\\\cline{3-5}
%\multicolumn{2}{c}{~}&\multicolumn{2}{c}{Before}\\
%\multicolumn{2}{c}{~}&\multicolumn{2}{c}{percentiles} \\\cline{3-4}
%Clusters& Type & Before & After \\\hline
\multicolumn{2}{c}{~}&\multicolumn{3}{c}{Before}\\
\multicolumn{2}{c}{~}&\multicolumn{3}{c}{percentiles}\\\cline{3-5}
Clusters & Types & 25\%& 50\% & 75\% \\\hline
\multirow{3}{*}{3} & pd & 90& 95& 100  \\
 & pf & 0& 3& 4 \\
 & ranks & 288& 691& 1212 \\ \hline
\multirow{3}{*}{5} & pd & 94& 100& 100 \\
 & pf & 0& 0& 0   \\
 & ranks & 410& 857& 1306\\ \hline
\multirow{3}{*}{10} & pd & 75& 100& 100 \\
 & pf & 0& 0& 0 \\
 & ranks & 412& 845& 1323 \\ \hline
\multirow{3}{*}{20} & pd & 0& 100& 100 \\
 & pf & 0& 0& 3 \\
 & ranks & 442& 896& 1356 \\ \hline 
%\multicolumn{5}{c}{~}&~~~~~0~~~~~~~~50~~~~100 
\end{tabular}

\\ \\ 

%\begin{center}
%stat 4 - 3,
\begin{tabular}{l@{~}|l@{~}|r@{~}r@{~}@{~}r@{~}|}
%\begin{tabular}{l@{~}|l@{~}|r@{~}|r@{~}|}
%\multicolumn{2}{c}{~}&\multicolumn{5}{c}{quartiles}\\\cline{3-5}
%&min& & median & &max\\\cline{3-5}
%\multicolumn{2}{c}{~}&\multicolumn{2}{c}{Before}\\
%\multicolumn{2}{c}{~}&\multicolumn{2}{c}{percentiles} \\\cline{3-4}
%Clusters& Type & Before & After \\\hline
\multicolumn{2}{c}{~}&\multicolumn{3}{c}{After}\\
\multicolumn{2}{c}{~}&\multicolumn{3}{c}{percentiles}\\\cline{3-5}
Clusters & Types & 25\%& 50\% & 75\% \\\hline
\multirow{3}{*}{3} & pd & 49& 82& 100  \\
 & pf & 0& 9& 20 \\
 & ranks & 787& 1228& 1609 \\ \hline
\multirow{3}{*}{5} & pd & 94& 100& 100 \\
 & pf & 0& 0& 0   \\
 & ranks & 563& 988& 1532\\ \hline
\multirow{3}{*}{10} & pd & 60& 100& 100 \\
 & pf & 0& 0& 3 \\
 & ranks & 578& 1048& 1463 \\ \hline
\multirow{3}{*}{20} & pd & 0& 67& 100 \\
 & pf & 0& 0& 3 \\
 & ranks & 601& 1081& 1481 \\ \hline 
%\multicolumn{5}{c}{~}&~~~~~0~~~~~~~~50~~~~100 
\end{tabular}

&
%stat 3 - 3,
\begin{tabular}{l@{~}|l@{~}|r@{~}r@{~}@{~}r@{~}|}
%\begin{tabular}{l@{~}|l@{~}|r@{~}|r@{~}|}
%\multicolumn{2}{c}{~}&\multicolumn{5}{c}{quartiles}\\\cline{3-5}
%&min& & median & &max\\\cline{3-5}
%\multicolumn{2}{c}{~}&\multicolumn{2}{c}{Before}\\
%\multicolumn{2}{c}{~}&\multicolumn{2}{c}{percentiles} \\\cline{3-4}
%Clusters& Type & Before & After \\\hline
\multicolumn{2}{c}{~}&\multicolumn{3}{c}{After}\\
\multicolumn{2}{c}{~}&\multicolumn{3}{c}{percentiles}\\\cline{3-5}
Clusters & Types & 25\%& 50\% & 75\% \\\hline
\multirow{3}{*}{3} & pd & 55& 93& 100  \\
 & pf & 0& 4& 19 \\
 & ranks & 723& 1105& 1544 \\ \hline
\multirow{3}{*}{5} & pd & 90& 100& 100 \\
 & pf & 0& 0& 3   \\
 & ranks & 550& 983& 1517\\ \hline
\multirow{3}{*}{10} & pd & 67& 100& 100 \\
 & pf & 0& 0& 3 \\
 & ranks & 563& 1061& 1463 \\ \hline
\multirow{3}{*}{20} & pd & 0& 75& 100 \\
 & pf & 0& 0& 3 \\
 & ranks & 498& 993& 1433 \\ \hline 
%\multicolumn{5}{c}{~}&~~~~~0~~~~~~~~50~~~~100 
\end{tabular}

&
%stat 2 - 3,
\begin{tabular}{l@{~}|l@{~}|r@{~}r@{~}@{~}r@{~}|}
%\begin{tabular}{l@{~}|l@{~}|r@{~}|r@{~}|}
%\multicolumn{2}{c}{~}&\multicolumn{5}{c}{quartiles}\\\cline{3-5}
%&min& & median & &max\\\cline{3-5}
%\multicolumn{2}{c}{~}&\multicolumn{2}{c}{Before}\\
%\multicolumn{2}{c}{~}&\multicolumn{2}{c}{percentiles} \\\cline{3-4}
%Clusters& Type & Before & After \\\hline
\multicolumn{2}{c}{~}&\multicolumn{3}{c}{After}\\
\multicolumn{2}{c}{~}&\multicolumn{3}{c}{percentiles}\\\cline{3-5}
Clusters & Types & 25\%& 50\% & 75\% \\\hline
\multirow{3}{*}{3} & pd & 70& 94& 100  \\
 & pf & 0& 4& 14 \\
 & ranks & 724& 1117& 1544 \\ \hline
\multirow{3}{*}{5} & pd & 90& 100& 100 \\
 & pf & 0& 0& 0   \\
 & ranks & 532& 976& 1494\\ \hline
\multirow{3}{*}{10} & pd & 67& 100& 100 \\
 & pf & 0& 0& 3 \\
 & ranks & 559& 1017& 1445 \\ \hline
\multirow{3}{*}{20} & pd & 0& 78& 100 \\
 & pf & 0& 0& 3 \\
 & ranks & 495& 973& 1426 \\ \hline 
%\multicolumn{5}{c}{~}&~~~~~0~~~~~~~~50~~~~100 
\end{tabular}

&
%stat 1 - 3,5,10,20
\begin{tabular}{l@{~}|l@{~}|r@{~}r@{~}@{~}r@{~}|}
%\begin{tabular}{l@{~}|l@{~}|r@{~}|r@{~}|}
%\multicolumn{2}{c}{~}&\multicolumn{5}{c}{quartiles}\\\cline{3-5}
%&min& & median & &max\\\cline{3-5}
%\multicolumn{2}{c}{~}&\multicolumn{2}{c}{Before}\\
%\multicolumn{2}{c}{~}&\multicolumn{2}{c}{percentiles} \\\cline{3-4}
%Clusters& Type & Before & After \\\hline
\multicolumn{2}{c}{~}&\multicolumn{3}{c}{After}\\
\multicolumn{2}{c}{~}&\multicolumn{3}{c}{percentiles}\\\cline{3-5}
Clusters & Types & 25\%& 50\% & 75\% \\\hline
\multirow{3}{*}{3} & pd & 70& 100& 100  \\
 & pf & 0& 4& 13 \\
 & ranks & 696& 1095& 1522 \\ \hline
\multirow{3}{*}{5} & pd & 89& 100& 100 \\
 & pf & 0& 0& 3   \\
 & ranks & 522& 978& 1471\\ \hline
\multirow{3}{*}{10} & pd & 67& 100& 100 \\
 & pf & 0& 0& 3 \\
 & ranks & 519& 1003& 1436 \\ \hline
\multirow{3}{*}{20} & pd & 0& 82& 100 \\
 & pf & 0& 0& 3 \\
 & ranks & 488& 958& 1418 \\ \hline 
%\multicolumn{5}{c}{~}&~~~~~0~~~~~~~~50~~~~100 
\\ 
\end{tabular}
\end{tabular}}
\caption{Results showing the effect of instance selection before and after on ranks, pd and pf for data sets with 3, 5, 10 and 20 clusters and choosing values of each attribute with the two highest ranks(k = 2)}
\label{fig:results}
\end{center}
\end{figure*}

\end{comment}




=======
>>>>>>> .r10425
