An Improvement of the Hotelling <svg style="vertical-align:-0.0pt;width:23.525px;" id="M1" height="21.674999" version="1.1" viewBox="0 0 23.525 21.674999" width="23.525" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg"><g transform="matrix(.022,-0,0,-.022,.062,21.612)"><path id="x1D447" d="M649 676l-22 -187l-33 -2q3 56 -12 94q-8 20 -31.5 26.5t-86.5 6.5h-74l-90 -491q-4 -23 -6 -36.5t1 -25t7 -16.5t18 -9t27 -5t41 -3l-6 -28h-286l4 28q68 5 84 18.5t28 76.5l94 491h-55q-74 0 -100.5 -6t-41.5 -23q-24 -29 -54 -98l-32 1q32 98 53 188h22q7 -18 15 -22
t37 -4h417q23 0 33.5 5t25.5 21h23z" /></g><g transform="matrix(.016,-0,0,-.016,14.988,10.862)"><path id="x1D7D0" d="M453 211h25l-46 -211h-415v23q97 102 151 166q42 49 81 110q51 78 51 148q0 56 -31.5 91.5t-87.5 35.5q-77 0 -122 -90h-28q67 204 223 204q82 0 132 -49.5t50 -133.5q0 -110 -114 -218l-162 -154h140q82 0 107 13q27 13 46 65z" /></g></svg> Statistic in Monitoring Multivariate Quality Characteristics

<table>The correct detection rate for different outlier percentages for <svg height="15.2875" id="M654" style="vertical-align:-3.50804pt" version="1.1" viewbox="0 0 37.787498 15.2875" width="37.787498" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg> (a) and <svg height="11.125" id="M656" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 57.4375 11.125" width="57.4375" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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Mathematical Problems in Engineering

fig1

Figure 1

Figure 1: An Improvement of the Hotelling <svg style="vertical-align:-0.0pt;width:23.525px;" id="M1" height="21.674999" version="1.1" viewBox="0 0 23.525 21.674999" width="23.525" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg"><g transform="matrix(.022,-0,0,-.022,.062,21.612)"><path id="x1D447" d="M649 676l-22 -187l-33 -2q3 56 -12 94q-8 20 -31.5 26.5t-86.5 6.5h-74l-90 -491q-4 -23 -6 -36.5t1 -25t7 -16.5t18 -9t27 -5t41 -3l-6 -28h-286l4 28q68 5 84 18.5t28 76.5l94 491h-55q-74 0 -100.5 -6t-41.5 -23q-24 -29 -54 -98l-32 1q32 98 53 188h22q7 -18 15 -22
t37 -4h417q23 0 33.5 5t25.5 21h23z" /></g><g transform="matrix(.016,-0,0,-.016,14.988,10.862)"><path id="x1D7D0" d="M453 211h25l-46 -211h-415v23q97 102 151 166q42 49 81 110q51 78 51 148q0 56 -31.5 91.5t-87.5 35.5q-77 0 -122 -90h-28q67 204 223 204q82 0 132 -49.5t50 -133.5q0 -110 -114 -218l-162 -154h140q82 0 107 13q27 13 46 65z" /></g></svg> Statistic in Monitoring Multivariate Quality Characteristics 

Mathematical Problems in Engineering

An Improvement of the Hotelling Statistic in Monitoring Multivariate Quality Characteristics

Figure 1