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    <subfield code="a">10.3390/math10081221</subfield>
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    <subfield code="a">ART-2022-128017</subfield>
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    <subfield code="a">eng</subfield>
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  <datafield tag="100" ind1=" " ind2=" ">
    <subfield code="a">Aznar-Gimeno, Rocío</subfield>
    <subfield code="0">(orcid)0000-0003-1415-146X</subfield>
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  <datafield tag="245" ind1=" " ind2=" ">
    <subfield code="a">A stepwise algorithm for linearly combining biomakers under Youden Index maximisation</subfield>
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  <datafield tag="260" ind1=" " ind2=" ">
    <subfield code="c">2022</subfield>
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    <subfield code="a">Combining multiple biomarkers to provide predictive models with a greater discriminatory ability is a discipline that has received attention in recent years. Choosing the probability threshold that corresponds to the highest combined marker accuracy is key in disease diagnosis. The Youden index is a statistical metric that provides an appropriate synthetic index for diagnostic accuracy and a good criterion for choosing a cut-off point to dichotomize a biomarker. In this study, we present a new stepwise algorithm for linearly combining continuous biomarkers to maximize the Youden index. To investigate the performance of our algorithm, we analyzed a wide range of simulated scenarios and compared its performance with that of five other linear combination methods in the literature (a stepwise approach introduced by Yin and Tian, the min-max approach, logistic regression, a parametric approach under multivariate normality and a non-parametric kernel smoothing approach). The obtained results show that our proposed stepwise approach showed similar results to other algorithms in normal simulated scenarios and outperforms all other algorithms in non-normal simulated scenarios. In scenarios of biomarkers with the same means and a different covariance matrix for the diseased and non-diseased population, the min-max approach outperforms the rest. The methods were also applied on two real datasets (to discriminate Duchenne muscular dystrophy and prostate cancer), whose results also showed a higher predictive ability in our algorithm in the prostate cancer database</subfield>
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    <subfield code="9">info:eu-repo/grantAgreement/ES/MICINN/PID2020-116873GB-I00</subfield>
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    <subfield code="a">MATHEMATICS</subfield>
    <subfield code="b">23 / 329 = 0.07</subfield>
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  <datafield tag="593" ind1=" " ind2=" ">
    <subfield code="a">Computer Science (miscellaneous)</subfield>
    <subfield code="c">2022</subfield>
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    <subfield code="a">Mathematics (miscellaneous)</subfield>
    <subfield code="c">2022</subfield>
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    <subfield code="a">Engineering (miscellaneous)</subfield>
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  <datafield tag="700" ind1=" " ind2=" ">
    <subfield code="a">Esteban, Luis M.</subfield>
    <subfield code="0">(orcid)0000-0002-3007-302X</subfield>
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  <datafield tag="700" ind1=" " ind2=" ">
    <subfield code="a">Hoyo-Alonso, Rafael del</subfield>
    <subfield code="0">(orcid)0000-0003-2755-5500</subfield>
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  <datafield tag="700" ind1=" " ind2=" ">
    <subfield code="a">Borque-Fernando, Ángel</subfield>
    <subfield code="u">Universidad de Zaragoza</subfield>
    <subfield code="0">(orcid)0000-0003-0178-4567</subfield>
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  <datafield tag="700" ind1=" " ind2=" ">
    <subfield code="a">Sanz, Gerardo</subfield>
    <subfield code="u">Universidad de Zaragoza</subfield>
    <subfield code="0">(orcid)0000-0002-6474-2252</subfield>
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  <datafield tag="710" ind1="2" ind2=" ">
    <subfield code="1">2007</subfield>
    <subfield code="2">265</subfield>
    <subfield code="a">Universidad de Zaragoza</subfield>
    <subfield code="b">Dpto. Métodos Estadísticos</subfield>
    <subfield code="c">Área Estadís. Investig. Opera.</subfield>
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    <subfield code="1">1013</subfield>
    <subfield code="2">817</subfield>
    <subfield code="a">Universidad de Zaragoza</subfield>
    <subfield code="b">Dpto. Cirugía</subfield>
    <subfield code="c">Área Urología</subfield>
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  <datafield tag="773" ind1=" " ind2=" ">
    <subfield code="g">10, 8 (2022), 1221 [26 pp.]</subfield>
    <subfield code="p">Mathematics (Basel)</subfield>
    <subfield code="t">Mathematics</subfield>
    <subfield code="x">2227-7390</subfield>
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