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  <controlfield tag="001">UP-99796217611235724</controlfield>
  <controlfield tag="003">Buklod</controlfield>
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   <subfield code="a">DENG</subfield>
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   <subfield code="a">eng</subfield>
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   <subfield code="a">Vives-Mestres, Marina</subfield>
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   <subfield code="a">Individual T2 control chart for compositional data.</subfield>
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   <subfield code="a">pp. 127-139</subfield>
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   <subfield code="a">The usual Hotelling T2 control chart is not appropriate for monitoring processes where the quality characteristic is a mixture. The composition of mixtures are vectors of positive elements that represent parts of a whole, to which standard multivariate techniques are not appropriate due to their restricted sample space. There are many applications where a mixture is monitored against time, such as in the chemical industry, product composition, impurity profile, or gas components analysis. In this paper, a multivariate control chart for individual compositional observations based on the T2 statistic is proposed and compared with the typical one in terms of average run length. We show how results are more consistent with compositional data nature and illustrate implementation in a real-world example.</subfield>
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   <subfield code="a">Average run length.</subfield>
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   <subfield code="a">Hotellings?s T2 Statistic.</subfield>
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   <subfield code="a">Log Ratio.</subfield>
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   <subfield code="a">Mixture Data.</subfield>
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   <subfield code="a">Multivariate Control Chart.</subfield>
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   <subfield code="a">Simplex.</subfield>
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   <subfield code="a">Statistical Process Control.</subfield>
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  <datafield tag="773" ind1="0" ind2=" ">
   <subfield code="t">Journal of Quality Technology</subfield>
   <subfield code="g">46, 2 (2014).</subfield>
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   <subfield code="a">FO</subfield>
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