\addvspace {10\p@ } \addvspace {10\p@ } \contentsline {figure}{\numberline {2.1}{\ignorespaces PCA for iris data set}}{4} \contentsline {figure}{\numberline {2.2}{\ignorespaces Example of using the cosine law to find the position of $Oi$ in the dimension $k$}}{5} \contentsline {figure}{\numberline {2.3}{\ignorespaces Projects of points $O_i$ and $O_j$ onto the hyper-plane perpendicular to the line $O_a$$O_b$}}{5} \contentsline {figure}{\numberline {2.4}{\ignorespaces Visualization of four(4) glass forensic models}}{8} \addvspace {10\p@ } \contentsline {figure}{\numberline {3.1}{\ignorespaces Proposed procedure for the forensic evaluation of data}}{10} \contentsline {figure}{\numberline {3.2}{\ignorespaces Probability of detection (pd) and Probability of False alarms (pf) using fixed values for dimensions and fixed k values for k-nearest neighbor}}{10} \contentsline {figure}{\numberline {3.3}{\ignorespaces Pseudo code for K-means}}{10} \contentsline {figure}{\numberline {3.4}{\ignorespaces A log of some golf-playing behavior}}{11} \contentsline {figure}{\numberline {3.5}{\ignorespaces pd and pf results for n=[1,2,3,4] and r=[1,2]}}{11} \contentsline {figure}{\numberline {3.6}{\ignorespaces Instance selection using the CLIFF selector. The Reduction\% column shows the percentage of the original data set left after selection. (All the original data sets contain 185 instances)}}{11} \contentsline {figure}{\numberline {3.7}{\ignorespaces Pseudo code for Support Based Bayesian Ranking algorithm}}{12} \addvspace {10\p@ } \contentsline {figure}{\numberline {4.1}{\ignorespaces Pseudo code for Experiment 1}}{13} \contentsline {figure}{\numberline {4.2}{\ignorespaces Results for Experiment 1 for the 4 data sets distinguished by the number of clusters. Here for the upper and lower tables n=4 is used while r=1 is used for the upper table and r=2 for the lower table.}}{13} \contentsline {figure}{\numberline {4.3}{\ignorespaces Pseudo code for Experiment 2}}{14} \contentsline {figure}{\numberline {4.4}{\ignorespaces Results for Experiment 2 for the 4 data sets distinguished by the number of clusters. Here for the upper and lower tables n=4 is used while r=1 is used for the upper table and r=2 for the lower table.}}{14} \contentsline {figure}{\numberline {4.5}{\ignorespaces Position of values in the 'before' and 'after' population with data set at 3, 5, 10 and 20 clusters. The first row shows the results for r=1 while the second row shows the results for r=2}}{14} \contentsline {figure}{\numberline {4.6}{\ignorespaces Results for Experiment 2 of before and after results. -1 indicates that the after is better than before}}{14} \addvspace {10\p@ }