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Sesgo estadístico - Wikipedia, la enciclopedia libre
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class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Contenidos" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Cambiar a la tabla de contenidos" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Cambiar a la tabla de contenidos</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Sesgo estadístico</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Ir a un artículo en otro idioma. Disponible en 13 idiomas" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-13" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">13 idiomas</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%AA%D8%AD%D9%8A%D8%B2_%D8%A7%D9%84%D9%85%D9%82%D8%AF%D8%B1" title="تحيز المقدر (árabe)" lang="ar" hreflang="ar" data-title="تحيز المقدر" data-language-autonym="العربية" data-language-local-name="árabe" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Biaix_(estad%C3%ADstica)" title="Biaix (estadística) (catalán)" lang="ca" hreflang="ca" data-title="Biaix (estadística)" data-language-autonym="Català" data-language-local-name="catalán" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Bias_af_estimator" title="Bias af estimator (danés)" lang="da" hreflang="da" data-title="Bias af estimator" data-language-autonym="Dansk" data-language-local-name="danés" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Verzerrung_einer_Sch%C3%A4tzfunktion" title="Verzerrung einer Schätzfunktion (alemán)" lang="de" hreflang="de" data-title="Verzerrung einer Schätzfunktion" data-language-autonym="Deutsch" data-language-local-name="alemán" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Bias_of_an_estimator" title="Bias of an estimator (inglés)" lang="en" hreflang="en" data-title="Bias of an estimator" data-language-autonym="English" data-language-local-name="inglés" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%A7%D8%B1%DB%8C%D8%A8%DB%8C_%DB%8C%DA%A9_%D8%A8%D8%B1%D8%A2%D9%88%D8%B1%D8%AF%DA%AF%D8%B1" title="اریبی یک برآوردگر (persa)" lang="fa" hreflang="fa" data-title="اریبی یک برآوردگر" data-language-autonym="فارسی" data-language-local-name="persa" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Biais_(statistique)" title="Biais (statistique) (francés)" lang="fr" hreflang="fr" data-title="Biais (statistique)" data-language-autonym="Français" data-language-local-name="francés" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%94%D7%98%D7%99%D7%94_(%D7%A1%D7%98%D7%98%D7%99%D7%A1%D7%98%D7%99%D7%A7%D7%94)" title="הטיה (סטטיסטיקה) (hebreo)" lang="he" hreflang="he" data-title="הטיה (סטטיסטיקה)" data-language-autonym="עברית" data-language-local-name="hebreo" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%ED%8E%B8%EC%9D%98_%EC%B6%94%EC%A0%95%EB%9F%89" title="편의 추정량 (coreano)" lang="ko" hreflang="ko" data-title="편의 추정량" data-language-autonym="한국어" data-language-local-name="coreano" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Zuiverheid_(statistiek)" title="Zuiverheid (statistiek) (neerlandés)" 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class="mw-list-item"><a href="/w/index.php?title=Especial:Citar&page=Sesgo_estad%C3%ADstico&id=159380764&wpFormIdentifier=titleform" title="Información sobre cómo citar esta página"><span>Citar esta página</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Especial:Acortador_de_URL&url=https%3A%2F%2Fes.wikipedia.org%2Fwiki%2FSesgo_estad%25C3%25ADstico"><span>Obtener URL acortado</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Especial:QrCode&url=https%3A%2F%2Fes.wikipedia.org%2Fwiki%2FSesgo_estad%25C3%25ADstico"><span>Descargar código QR</span></a></li> </ul> </div> </div> <div id="p-coll-print_export" class="vector-menu mw-portlet mw-portlet-coll-print_export" > <div class="vector-menu-heading"> Imprimir/exportar </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-create_a_book" class="mw-list-item"><a href="/w/index.php?title=Especial:Libro&bookcmd=book_creator&referer=Sesgo+estad%C3%ADstico"><span>Crear un libro</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Especial:DownloadAsPdf&page=Sesgo_estad%C3%ADstico&action=show-download-screen"><span>Descargar como PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Sesgo_estad%C3%ADstico&printable=yes" title="Versión imprimible de esta página [p]" accesskey="p"><span>Versión para imprimir</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" > <div class="vector-menu-heading"> En otros proyectos </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="wb-otherproject-link wb-otherproject-commons mw-list-item"><a href="https://commons.wikimedia.org/wiki/Category:Bias_(statistics)" hreflang="en"><span>Wikimedia Commons</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q11264527" title="Enlace al elemento conectado del repositorio de datos [g]" accesskey="g"><span>Elemento de Wikidata</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Página de herramientas"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Apariencia"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" 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class="mw-content-ltr mw-parser-output" lang="es" dir="ltr"><table style="" class="noprint plainlinks ambox ambox-content"> <tbody><tr> <td class="ambox-image" width="40"> <span class="mw-default-size" typeof="mw:File"><a href="/wiki/Archivo:Commons-emblem-question_book_orange.svg" class="mw-file-description"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/1/1f/Commons-emblem-question_book_orange.svg/40px-Commons-emblem-question_book_orange.svg.png" decoding="async" width="40" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/1f/Commons-emblem-question_book_orange.svg/60px-Commons-emblem-question_book_orange.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/1f/Commons-emblem-question_book_orange.svg/80px-Commons-emblem-question_book_orange.svg.png 2x" data-file-width="48" data-file-height="48" /></a></span></td> <td class="ambox-text"><div class="ambox-text-div"><strong>Este artículo o sección necesita <a href="/wiki/Wikipedia:VER" class="mw-redirect" title="Wikipedia:VER">referencias</a> que aparezcan en una <a href="/wiki/Wikipedia:FF" class="mw-redirect" title="Wikipedia:FF">publicación acreditada</a>.</strong> <span class="hide-when-compact"><br /> <span style="font-size: smaller;"><i>Busca fuentes:</i> <span class="plainlinks"><a rel="nofollow" class="external text" href="http://www.google.com/search?as_eq=wikipedia&q=%22Sesgo+estad%C3%ADstico%22&num=50">«Sesgo estadístico»</a> – <a rel="nofollow" class="external text" href="https://www.google.com/search?tbm=nws&&as_src=-newswire+-wire+-presswire+-PR+-press+-release+-wikipedia&q=%22Sesgo+estad%C3%ADstico%22">noticias</a> · <a rel="nofollow" class="external text" href="http://books.google.com/books?as_brr=0&as_pub=-icon&q=%22Sesgo+estad%C3%ADstico%22">libros</a> · <a rel="nofollow" class="external text" href="http://scholar.google.com/scholar?q=%22Sesgo+estad%C3%ADstico%22">académico</a> · <a rel="nofollow" class="external text" href="http://images.google.com/images?safe=off&as_rights=(cc_publicdomain%7ccc_attribute%7ccc_sharealike%7ccc_noncommercial%7ccc_nonderived)&q=%22Sesgo+estad%C3%ADstico%22">imágenes</a></span></span></span></div><div class="hide-when-compact"><small><div>Este aviso fue puesto el 11 de noviembre de 2015.</div></small></div></td> </tr> </tbody></table> <p>En <a href="/wiki/Estad%C3%ADstica" title="Estadística">estadística</a> se llama <b>sesgo</b> de un <a href="/wiki/Estimador" title="Estimador">estimador</a> a la diferencia entre su <a href="/wiki/Esperanza_matem%C3%A1tica" class="mw-redirect" title="Esperanza matemática">esperanza matemática</a> y el <a href="/wiki/Valor_num%C3%A9rico" title="Valor numérico">valor numérico</a> del parámetro que estima. Un estimador cuyo sesgo es nulo se llama <i>insesgado</i> o <i>centrado</i>. </p><p>En notación matemática, dada una <a href="/wiki/Muestra_(estad%C3%ADstica)" class="mw-redirect" title="Muestra (estadística)">muestra</a> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x_{1},\dots ,x_{n}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>,</mo> <mo>…<!-- … --></mo> <mo>,</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x_{1},\dots ,x_{n}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e5afdbc2d248d8fa9ba2c4f5188d946a0537e753" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:10.11ex; height:2.009ex;" alt="{\displaystyle x_{1},\dots ,x_{n}}"></span> y un estimador <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle T(x_{1},\dots ,x_{n})\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>T</mi> <mo stretchy="false">(</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>,</mo> <mo>…<!-- … --></mo> <mo>,</mo> <msub> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> <mo stretchy="false">)</mo> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle T(x_{1},\dots ,x_{n})\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/19f5ae22a0c6b64c1bf0fd0a42227d79d98891da" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:13.943ex; height:2.843ex;" alt="{\displaystyle T(x_{1},\dots ,x_{n})\,}"></span> del parámetro poblacional <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \theta \,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>θ<!-- θ --></mi> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \theta \,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/228647b7d4a18b6c8c0c390b439a61da8fafec76" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.478ex; height:2.176ex;" alt="{\displaystyle \theta \,}"></span>, el sesgo es:<sup id="cite_ref-1" class="reference separada"><a href="#cite_note-1"><span class="corchete-llamada">[</span>1<span class="corchete-llamada">]</span></a></sup>​ </p> <blockquote style="padding: 5px 10px; background-color: var(--background-color-base, #fff); color: var(--color-base, #202122); text-align: left; margin-left:30px; margin-bottom: 0.4em; margin-top:0.2em; min-width:50%;"> <p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle E(T)-\theta \,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>E</mi> <mo stretchy="false">(</mo> <mi>T</mi> <mo stretchy="false">)</mo> <mo>−<!-- − --></mo> <mi>θ<!-- θ --></mi> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E(T)-\theta \,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fbe1b339d1b1485152b451bc45430906d671b8f4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:9.539ex; height:2.843ex;" alt="{\displaystyle E(T)-\theta \,}"></span> </p> </blockquote> <p>El no tener sesgo es una propiedad deseable de los estimadores. Una propiedad relacionada con esta es la de la <a href="/wiki/Consistencia_(estad%C3%ADstica)" title="Consistencia (estadística)">consistencia</a>: un estimador puede tener un sesgo pero el tamaño de este converge a cero conforme crece el tamaño muestral. </p><p>Dada la importancia de la falta de sesgo, en ocasiones, en lugar de estimadores <i>naturales</i> se utilizan otros corregidos para eliminar el sesgo. Así ocurre, por ejemplo, con la <a href="/wiki/Varianza" title="Varianza">varianza muestral</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Fuentes_del_sesgo_en_las_ciencias_experimentales">Fuentes del sesgo en las ciencias experimentales</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Sesgo_estad%C3%ADstico&action=edit&section=1" title="Editar sección: Fuentes del sesgo en las ciencias experimentales"><span>editar</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>En el diseño y elaboración de un estudio de investigación en clínica, puede haber distintos tipos de sesgos: </p> <ul><li><a href="/wiki/Sesgo_de_selecci%C3%B3n" title="Sesgo de selección">de selección</a>: debido a que los grupos no son comparables a causa de cómo se eligieron los pacientes o sujetos.</li> <li>de información: debido a que los grupos no son comparables a causa de cómo se obtuvieron los datos.</li> <li>de confusión: debido a una mezcla de efectos debido a una tercera variable (<a href="/wiki/Variable_de_confusi%C3%B3n" class="mw-redirect" title="Variable de confusión">variable de confusión</a>).</li></ul> <div class="mw-heading mw-heading2"><h2 id="Véase_también"><span id="V.C3.A9ase_tambi.C3.A9n"></span>Véase también</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Sesgo_estad%C3%ADstico&action=edit&section=2" title="Editar sección: Véase también"><span>editar</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Aleatorizaci%C3%B3n" title="Aleatorización">Aleatorización</a></li> <li><a href="/wiki/Consistencia_(estad%C3%ADstica)" title="Consistencia (estadística)">Consistencia</a></li> <li><a href="/wiki/Doble_ciego" title="Doble ciego">Doble ciego</a></li> <li><a href="/wiki/Escala_de_Jadad" title="Escala de Jadad">Escala de Jadad</a></li> <li><a href="/wiki/Wikipedia:Sesgo_intr%C3%ADnseco" title="Wikipedia:Sesgo intrínseco">Wikipedia:Sesgo intrínseco</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Referencias">Referencias</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Sesgo_estad%C3%ADstico&action=edit&section=3" title="Editar sección: Referencias"><span>editar</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="listaref" style="list-style-type: decimal;"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"><span id="CITAREFHernández2010" class="citation libro">Hernández, V. (2010). <i>Modelos Probabilísticos y Optimización</i>.</span><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fes.wikipedia.org%3ASesgo+estad%C3%ADstico&rft.au=Hern%C3%A1ndez%2C+V.&rft.aufirst=V.&rft.aulast=Hern%C3%A1ndez&rft.btitle=Modelos+Probabil%C3%ADsticos+y+Optimizaci%C3%B3n&rft.date=2010&rft.genre=book&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook" class="Z3988"><span style="display:none;"> </span></span></span> </li> </ol></div> <style data-mw-deduplicate="TemplateStyles:r161257576">.mw-parser-output .mw-authority-control{margin-top:1.5em}.mw-parser-output .mw-authority-control .navbox table{margin:0}.mw-parser-output .mw-authority-control .navbox hr:last-child{display:none}.mw-parser-output .mw-authority-control .navbox+.mw-mf-linked-projects{display:none}.mw-parser-output .mw-authority-control .mw-mf-linked-projects{display:flex;padding:0.5em;border:1px solid var(--border-color-base,#a2a9b1);background-color:var(--background-color-neutral,#eaecf0);color:var(--color-base,#202122)}.mw-parser-output .mw-authority-control .mw-mf-linked-projects ul li{margin-bottom:0}.mw-parser-output .mw-authority-control .navbox{border:1px solid var(--border-color-base,#a2a9b1);background-color:var(--background-color-neutral-subtle,#f8f9fa)}.mw-parser-output .mw-authority-control .navbox-list{border-color:#f8f9fa}.mw-parser-output .mw-authority-control .navbox th{background-color:#eeeeff}html.skin-theme-clientpref-night .mw-parser-output .mw-authority-control .mw-mf-linked-projects{border:1px solid var(--border-color-base,#72777d);background-color:var(--background-color-neutral,#27292d);color:var(--color-base,#eaecf0)}html.skin-theme-clientpref-night .mw-parser-output .mw-authority-control .navbox{border:1px solid var(--border-color-base,#72777d)!important;background-color:var(--background-color-neutral-subtle,#202122)!important}html.skin-theme-clientpref-night .mw-parser-output .mw-authority-control .navbox-list{border-color:#202122!important}html.skin-theme-clientpref-night .mw-parser-output .mw-authority-control .navbox th{background-color:#27292d!important}@media(prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .mw-authority-control .mw-mf-linked-projects{border:1px solid var(--border-color-base,#72777d)!important;background-color:var(--background-color-neutral,#27292d)!important;color:var(--color-base,#eaecf0)!important}html.skin-theme-clientpref-os .mw-parser-output .mw-authority-control .navbox{border:1px solid var(--border-color-base,#72777d)!important;background-color:var(--background-color-neutral-subtle,#202122)!important}html.skin-theme-clientpref-os .mw-parser-output .mw-authority-control .navbox-list{border-color:#202122!important}html.skin-theme-clientpref-os .mw-parser-output .mw-authority-control .navbox th{background-color:#27292d!important}}</style><div class="mw-authority-control"><div role="navigation" class="navbox" aria-label="Navbox" style="width: inherit;padding:3px"><table class="hlist navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="row" class="navbox-group" style="width: 12%; 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