<?xml version="1.0" encoding="UTF-8"?>
<term>
  <id>14812</id>
  <title>logit transformation</title>
  <longtitle>IUPAC Gold Book - logit transformation</longtitle>
  <doi>10.1351/goldbook.14812</doi>
  <code>14812</code>
  <status>current</status>
  <definitions>
    <item>
      <id>1</id>
      <text>In competitive binding assays, the logit-log dose relationship, in which the response is defined by \[R = {\rm{logit}}\,(y) = \ln [y/(1 - y)]\] where \(y = b/b_{0}\), \(b\) is fraction of tracer bound and \(b_{0}\) is the value of \(b\) with no unlabelled ligand in the system.</text>
      <notes>
        <item>Logit-transformed assay data frequently yield straight-line dose-response data, amenable to statistical analysis. More generally in toxicology, the transformation is applied to dose-response data where \(b_{0}\) denotes the maximum response in the absence of a toxic substance.</item>
      </notes>
      <contexts/>
      <sources>
        <item>PAC, 2009, 81, 829. 'Glossary of terms used in ecotoxicology (IUPAC Recommendations 2009)' on page 907 (https://doi.org/10.1351/PAC-REC-08-07-09)</item>
      </sources>
    </item>
  </definitions>
  <altoutputs>
    <html>https://goldbook.iupac.org/terms/view/14812/html</html>
    <json>https://goldbook.iupac.org/terms/view/14812/json</json>
    <plain>https://goldbook.iupac.org/terms/view/14812/plain</plain>
  </altoutputs>
  <citation>Citation: 'logit transformation' in IUPAC Compendium of Chemical Terminology, 5th ed. International Union of Pure and Applied Chemistry; 2025. Online version 5.0.0, 2025. 10.1351/goldbook.14812</citation>
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  <disclaimer>The International Union of Pure and Applied Chemistry (IUPAC) is continuously reviewing and, where needed, updating terms in the Compendium of Chemical Terminology (the IUPAC Gold Book). Users of these terms are encouraged to include the version of a term with its use and to check regularly for updates to term definitions that you are using.</disclaimer>
  <accessed>2026-06-28T23:56:40+00:00</accessed>
</term>
