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<h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Logit</span></h1>
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<p>Ein <b>Logit</b> ist in der <a href="Statistik" title="Statistik">Statistik</a> der natürliche <a href="Logarithmus" title="Logarithmus">Logarithmus</a> einer <a href="Chance_(Stochastik)" title="Chance (Stochastik)">Chance</a>, d. h. der
<a href="Wahrscheinlichkeit" title="Wahrscheinlichkeit">Wahrscheinlichkeit</a> <span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle p}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>p</mi>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle p}</annotation>
</semantics>
</math></span><img src="./_assets_/eb734a37dd21ce173a46342d1cc64c92/81eac1e205430d1f40810df36a0edffdc367af36.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.089ex; width:1.259ex; height:2.009ex;" alt="{\displaystyle p}" loading="lazy"></span> geteilt durch die <a href="Wahrscheinlichkeitstheorie#Folgerungen" title="Wahrscheinlichkeitstheorie">Gegenwahrscheinlichkeit</a> <span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 1-p}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mn>1</mn>
<mo>−<!-- − --></mo>
<mi>p</mi>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle 1-p}</annotation>
</semantics>
</math></span><img src="./_assets_/eb734a37dd21ce173a46342d1cc64c92/9633a8692121eedfa99cace406205e5d1511ef8d.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:5.172ex; height:2.509ex;" alt="{\displaystyle 1-p}" loading="lazy"></span>. Unter der <b>Logit-Transformation</b> versteht man die Transformation von Wahrscheinlichkeiten in Logits. Diese wird in der <a href="Logistische_Regression" title="Logistische Regression">logistischen Regression</a> zur <a href="Spezifikation_(Statistik)" title="Spezifikation (Statistik)">Spezifikation</a> der <a href="Kopplungsfunktion" title="Kopplungsfunktion">Kopplungsfunktion</a> verwendet.
</p>
<div class="mw-heading mw-heading2"><h2 id="Definition">Definition</h2></div>
<p>Ein <i>Logit</i> ist der natürliche <a href="Logarithmus" title="Logarithmus">Logarithmus</a> einer <a href="Chance_(Stochastik)" title="Chance (Stochastik)">Chance</a> (Wahrscheinlichkeit <span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle p}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>p</mi>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle p}</annotation>
</semantics>
</math></span><img src="./_assets_/eb734a37dd21ce173a46342d1cc64c92/81eac1e205430d1f40810df36a0edffdc367af36.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.089ex; width:1.259ex; height:2.009ex;" alt="{\displaystyle p}" loading="lazy"></span> durch Gegenwahrscheinlichkeit <span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 1-p}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mn>1</mn>
<mo>−<!-- − --></mo>
<mi>p</mi>
</mstyle>
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<annotation encoding="application/x-tex">{\displaystyle 1-p}</annotation>
</semantics>
</math></span><img src="./_assets_/eb734a37dd21ce173a46342d1cc64c92/9633a8692121eedfa99cace406205e5d1511ef8d.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:5.172ex; height:2.509ex;" alt="{\displaystyle 1-p}" loading="lazy"></span>, engl. odds) für eine Wahrscheinlichkeit <span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 0<p<1}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mn>0</mn>
<mo><</mo>
<mi>p</mi>
<mo><</mo>
<mn>1</mn>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle 0<p<1}</annotation>
</semantics>
</math></span><img src="./_assets_/eb734a37dd21ce173a46342d1cc64c92/ea074f5b36db6eff17f1aa84d73e30e3de12c4d6.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:9.691ex; height:2.509ex;" alt="{\displaystyle 0<p<1}" loading="lazy"></span><sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup>, d. h.
</p>
<dl><dd><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \operatorname {logit} (p):=\ln \left({\frac {p}{1-p}}\right)=\ln \left(\operatorname {odds} (p)\right)\;.}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>logit</mi>
<mo><!-- --></mo>
<mo stretchy="false">(</mo>
<mi>p</mi>
<mo stretchy="false">)</mo>
<mo>:=</mo>
<mi>ln</mi>
<mo><!-- --></mo>
<mrow>
<mo>(</mo>
<mrow class="MJX-TeXAtom-ORD">
<mfrac>
<mi>p</mi>
<mrow>
<mn>1</mn>
<mo>−<!-- − --></mo>
<mi>p</mi>
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</mfrac>
</mrow>
<mo>)</mo>
</mrow>
<mo>=</mo>
<mi>ln</mi>
<mo><!-- --></mo>
<mrow>
<mo>(</mo>
<mrow>
<mi>odds</mi>
<mo><!-- --></mo>
<mo stretchy="false">(</mo>
<mi>p</mi>
<mo stretchy="false">)</mo>
</mrow>
<mo>)</mo>
</mrow>
<mspace width="thickmathspace"></mspace>
<mo>.</mo>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle \operatorname {logit} (p):=\ln \left({\frac {p}{1-p}}\right)=\ln \left(\operatorname {odds} (p)\right)\;.}</annotation>
</semantics>
</math></span><img src="./_assets_/eb734a37dd21ce173a46342d1cc64c92/4044451ea3211901149b70969c1dbd2aafdcf8f9.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:38.398ex; height:6.176ex;" alt="{\displaystyle \operatorname {logit} (p):=\ln \left({\frac {p}{1-p}}\right)=\ln \left(\operatorname {odds} (p)\right)\;.}" loading="lazy"></span></dd></dl>
<p>Die Funktion <span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \operatorname {logit} \colon (0,1)\to \mathbb {R} }">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>logit</mi>
<mo>:<!-- : --></mo>
<mo stretchy="false">(</mo>
<mn>0</mn>
<mo>,</mo>
<mn>1</mn>
<mo stretchy="false">)</mo>
<mo stretchy="false">→<!-- → --></mo>
<mrow class="MJX-TeXAtom-ORD">
<mi mathvariant="double-struck">R</mi>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle \operatorname {logit} \colon (0,1)\to \mathbb {R} }</annotation>
</semantics>
</math></span><img src="./_assets_/eb734a37dd21ce173a46342d1cc64c92/f268b24a558569ab311c104c50ddbd2a24ae2068.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:16.017ex; height:2.843ex;" alt="{\displaystyle \operatorname {logit} \colon (0,1)\to \mathbb {R} }" loading="lazy"></span> heißt <b>Logit-Funktion</b>. Wenn Wahrscheinlichkeiten <span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle p\in (0,1)}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>p</mi>
<mo>∈<!-- ∈ --></mo>
<mo stretchy="false">(</mo>
<mn>0</mn>
<mo>,</mo>
<mn>1</mn>
<mo stretchy="false">)</mo>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle p\in (0,1)}</annotation>
</semantics>
</math></span><img src="./_assets_/eb734a37dd21ce173a46342d1cc64c92/139f72fc2fc3c385635992a8764c0eccd77a3913.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; margin-left: -0.089ex; width:9.268ex; height:2.843ex;" alt="{\displaystyle p\in (0,1)}" loading="lazy"></span> in <span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \operatorname {logit} (p)\in \mathbb {R} }">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>logit</mi>
<mo><!-- --></mo>
<mo stretchy="false">(</mo>
<mi>p</mi>
<mo stretchy="false">)</mo>
<mo>∈<!-- ∈ --></mo>
<mrow class="MJX-TeXAtom-ORD">
<mi mathvariant="double-struck">R</mi>
</mrow>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle \operatorname {logit} (p)\in \mathbb {R} }</annotation>
</semantics>
</math></span><img src="./_assets_/eb734a37dd21ce173a46342d1cc64c92/da086f779b853e3a471b1388ca4b1ece18ee70dd.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:12.021ex; height:2.843ex;" alt="{\displaystyle \operatorname {logit} (p)\in \mathbb {R} }" loading="lazy"></span> transformiert werden, spricht man auch von einer <b>Logit-Transformation</b>.
</p>
<div class="mw-heading mw-heading2"><h2 id="Eigenschaften">Eigenschaften</h2></div>
<ul><li>Die Logit-Funktion kann auch mit dem <a href="Areatangens_Hyperbolicus_und_Areakotangens_Hyperbolicus" class="mw-redirect" title="Areatangens Hyperbolicus und Areakotangens Hyperbolicus">Areatangens Hyperbolicus</a> dargestellt werden,</li></ul>
<dl><dd><dl><dd><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \operatorname {logit} (p)=2\operatorname {artanh} (2p-1),\quad 0<p<1\;.}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>logit</mi>
<mo><!-- --></mo>
<mo stretchy="false">(</mo>
<mi>p</mi>
<mo stretchy="false">)</mo>
<mo>=</mo>
<mn>2</mn>
<mi>artanh</mi>
<mo><!-- --></mo>
<mo stretchy="false">(</mo>
<mn>2</mn>
<mi>p</mi>
<mo>−<!-- − --></mo>
<mn>1</mn>
<mo stretchy="false">)</mo>
<mo>,</mo>
<mspace width="1em"></mspace>
<mn>0</mn>
<mo><</mo>
<mi>p</mi>
<mo><</mo>
<mn>1</mn>
<mspace width="thickmathspace"></mspace>
<mo>.</mo>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle \operatorname {logit} (p)=2\operatorname {artanh} (2p-1),\quad 0<p<1\;.}</annotation>
</semantics>
</math></span><img src="./_assets_/eb734a37dd21ce173a46342d1cc64c92/88103f6ac1254dc9366720276b92c95d19b96e29.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:41.36ex; height:2.843ex;" alt="{\displaystyle \operatorname {logit} (p)=2\operatorname {artanh} (2p-1),\quad 0<p<1\;.}" loading="lazy"></span></dd></dl></dd></dl>
<ul><li>Es gilt</li></ul>
<dl><dd><dl><dd><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \operatorname {logit} (p){\begin{cases}<0&{\text{für }}p<1/2\\=0&{\text{für }}p=1/2\\>0&{\text{für }}p>1/2\end{cases}}\;.}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>logit</mi>
<mo><!-- --></mo>
<mo stretchy="false">(</mo>
<mi>p</mi>
<mo stretchy="false">)</mo>
<mrow class="MJX-TeXAtom-ORD">
<mrow>
<mo>{</mo>
<mtable columnalign="left left" rowspacing=".2em" columnspacing="1em" displaystyle="false">
<mtr>
<mtd>
<mo><</mo>
<mn>0</mn>
</mtd>
<mtd>
<mrow class="MJX-TeXAtom-ORD">
<mtext>für </mtext>
</mrow>
<mi>p</mi>
<mo><</mo>
<mn>1</mn>
<mrow class="MJX-TeXAtom-ORD">
<mo>/</mo>
</mrow>
<mn>2</mn>
</mtd>
</mtr>
<mtr>
<mtd>
<mo>=</mo>
<mn>0</mn>
</mtd>
<mtd>
<mrow class="MJX-TeXAtom-ORD">
<mtext>für </mtext>
</mrow>
<mi>p</mi>
<mo>=</mo>
<mn>1</mn>
<mrow class="MJX-TeXAtom-ORD">
<mo>/</mo>
</mrow>
<mn>2</mn>
</mtd>
</mtr>
<mtr>
<mtd>
<mo>></mo>
<mn>0</mn>
</mtd>
<mtd>
<mrow class="MJX-TeXAtom-ORD">
<mtext>für </mtext>
</mrow>
<mi>p</mi>
<mo>></mo>
<mn>1</mn>
<mrow class="MJX-TeXAtom-ORD">
<mo>/</mo>
</mrow>
<mn>2</mn>
</mtd>
</mtr>
</mtable>
<mo fence="true" stretchy="true" symmetric="true"></mo>
</mrow>
</mrow>
<mspace width="thickmathspace"></mspace>
<mo>.</mo>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle \operatorname {logit} (p){\begin{cases}<0&{\text{für }}p<1/2\\=0&{\text{für }}p=1/2\\>0&{\text{für }}p>1/2\end{cases}}\;.}</annotation>
</semantics>
</math></span><img src="./_assets_/eb734a37dd21ce173a46342d1cc64c92/a203cb26e6f6473ecbdc4d461781bfaf57c60aa2.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -4.384ex; margin-bottom: -0.287ex; width:28.926ex; height:10.509ex;" alt="{\displaystyle \operatorname {logit} (p){\begin{cases}<0&{\text{für }}p<1/2\\=0&{\text{für }}p=1/2\\>0&{\text{für }}p>1/2\end{cases}}\;.}" loading="lazy"></span></dd></dl></dd></dl>
<ul><li>Die Logit-Funktion besitzt die Symmetrieeigenschaft</li></ul>
<dl><dd><dl><dd><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \operatorname {logit} (1-p)=-\operatorname {logit} (p)\quad {\text{für alle }}0<p<1}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>logit</mi>
<mo><!-- --></mo>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>−<!-- − --></mo>
<mi>p</mi>
<mo stretchy="false">)</mo>
<mo>=</mo>
<mo>−<!-- − --></mo>
<mi>logit</mi>
<mo><!-- --></mo>
<mo stretchy="false">(</mo>
<mi>p</mi>
<mo stretchy="false">)</mo>
<mspace width="1em"></mspace>
<mrow class="MJX-TeXAtom-ORD">
<mtext>für alle </mtext>
</mrow>
<mn>0</mn>
<mo><</mo>
<mi>p</mi>
<mo><</mo>
<mn>1</mn>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle \operatorname {logit} (1-p)=-\operatorname {logit} (p)\quad {\text{für alle }}0<p<1}</annotation>
</semantics>
</math></span><img src="./_assets_/eb734a37dd21ce173a46342d1cc64c92/e31f4036ade6daa44bca57d432a1c61f5ef7af64.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.171ex; width:44.004ex; height:3.343ex;" alt="{\displaystyle \operatorname {logit} (1-p)=-\operatorname {logit} (p)\quad {\text{für alle }}0<p<1}" loading="lazy"></span></dd></dl></dd></dl>
<ul><li>Die Logit-Funktion ist differenzierbar und hat die Ableitungsfunktion</li></ul>
<dl><dd><dl><dd><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \operatorname {logit} '(p)={\frac {1}{p(1-p)}}>0\quad {\text{für alle }}0<p<1\;.}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<msup>
<mi>logit</mi>
<mo>′</mo>
</msup>
<mo><!-- --></mo>
<mo stretchy="false">(</mo>
<mi>p</mi>
<mo stretchy="false">)</mo>
<mo>=</mo>
<mrow class="MJX-TeXAtom-ORD">
<mfrac>
<mn>1</mn>
<mrow>
<mi>p</mi>
<mo stretchy="false">(</mo>
<mn>1</mn>
<mo>−<!-- − --></mo>
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<annotation encoding="application/x-tex">{\displaystyle \operatorname {logit} '(p)={\frac {1}{p(1-p)}}>0\quad {\text{für alle }}0<p<1\;.}</annotation>
</semantics>
</math></span><img src="./_assets_/eb734a37dd21ce173a46342d1cc64c92/f60be9e102e7ab3a06a26f899c1f1f8ea6fa304e.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.671ex; width:45.529ex; height:6.009ex;" alt="{\displaystyle \operatorname {logit} '(p)={\frac {1}{p(1-p)}}>0\quad {\text{für alle }}0<p<1\;.}" loading="lazy"></span></dd></dl></dd></dl>
<ul><li>Die Logit-Funktion ist invertierbar. Die <a href="Umkehrfunktion" title="Umkehrfunktion">Umkehrfunktion</a> der Logit-Funktion ist die <a href="Logistische_Funktion" title="Logistische Funktion">logistische Funktion</a> (manchmal auch <i>Expit</i> oder <a href="Sigmoidfunktion" title="Sigmoidfunktion">Sigmoid</a> genannt):</li></ul>
<dl><dd><dl><dd><span class="mwe-math-element mwe-math-element-inline"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle F_{\text{logistisch}}(x):=\operatorname {logit} ^{-1}(x)={\frac {e^{x}}{1+e^{x}}}={\frac {1}{1+e^{-x}}},\quad x\in \mathbb {R} }">
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<annotation encoding="application/x-tex">{\displaystyle F_{\text{logistisch}}(x):=\operatorname {logit} ^{-1}(x)={\frac {e^{x}}{1+e^{x}}}={\frac {1}{1+e^{-x}}},\quad x\in \mathbb {R} }</annotation>
</semantics>
</math></span><img src="./_assets_/eb734a37dd21ce173a46342d1cc64c92/a8f7cadc2597fb2b87d689031edf2ef135ec7e97.svg" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:56.072ex; height:5.509ex;" alt="{\displaystyle F_{\text{logistisch}}(x):=\operatorname {logit} ^{-1}(x)={\frac {e^{x}}{1+e^{x}}}={\frac {1}{1+e^{-x}}},\quad x\in \mathbb {R} }" loading="lazy"></span>.</dd></dl></dd></dl>
<div class="mw-heading mw-heading2"><h2 id="Anwendung">Anwendung</h2></div>
<div class="sieheauch" role="navigation" style="font-style:italic;"><span class="sieheauch-text">Siehe auch</span>: <a href="Enzyme-linked_Immunosorbent_Assay#Auswertung_des_ELISAs_mit_Hilfe_des_Logit-Log-Plots" title="Enzyme-linked Immunosorbent Assay">Abschnitt Auswertung des ELISAs mit Hilfe des Logit-Log-Plots in Enzyme-linked Immunosorbent Assay</a></div>
<p>Die Logit-<a href="Funktion_(Mathematik)" title="Funktion (Mathematik)">Funktion</a> kann zur <a href="Linearit%C3%A4t_(Mathematik)" title="Linearität (Mathematik)">Linearisierung</a> von <a href="Sigmoidfunktion" title="Sigmoidfunktion">sigmoiden</a> <a href="Funktionsgraph" title="Funktionsgraph">Kurven</a> verwendet werden und hat daher eine große Bedeutung für die Auswertung von <a href="Enzyme-linked_Immunosorbent_Assay" title="Enzyme-linked Immunosorbent Assay">ELISA-Kurven</a> in der <a href="Biochemie" title="Biochemie">Biochemie</a> erlangt.
</p><p>Die Logit-Transformation ist von zentraler Bedeutung für die <a href="Logistische_Regression" title="Logistische Regression">logistische Regression</a>.
</p>
<div class="mw-heading mw-heading2"><h2 id="Siehe_auch">Siehe auch</h2></div>
<ul><li><a href="Probit" title="Probit">Probit</a></li></ul>
<div class="mw-heading mw-heading2"><h2 id="Weblinks">Weblinks</h2></div>
<ul><li><a rel="nofollow" class="external text" href="https://bayesium.com/which-link-function-logit-probit-or-cloglog/">Which Link Function — Logit, Probit, or Cloglog? 12.04.2023</a></li></ul>
<div class="mw-heading mw-heading2"><h2 id="Einzelnachweise">Einzelnachweise</h2></div>
<ol class="references">
<li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text">Torsten Becker et al.: <i>Stochastische Risikomodellierung und statistische Methoden.</i> Springer Spektrum, 2016. S. 310.</span>
</li>
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