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Distribusi khi-kuadrat - Riwayat revisi
2026-09-16T04:34:59Z
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Maintenance script: Presentation V4: sitasi, referensi, Math, Wikimedia Commons, dan atribusi
2026-08-25T17:59:13Z
<p>Presentation V4: sitasi, referensi, Math, Wikimedia Commons, dan atribusi</p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Revisi sebelumnya</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revisi per 25 Agustus 2026 17.59</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Baris 1:</td>
<td colspan="2" class="diff-lineno">Baris 1:</td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Dalam [[teori probabilitas]] dan [[statistika]], '''distribusi khi-kuadrat''' () atau dengan ''k'' [[derajat bebas]] adalah distribusi jumlah kuadrat '''k''' [[peubah]] acak normal baku yang saling bebas. Distribusi ini sering kali digunakan dalam [[statistika inferensial]], seperti dalam [[uji hipotesis]], atau dalam penyusunan [[selang kepercayaan]]. Apabila dibandingkan dengan [[distribusi khi-kuadrat nonsentral]], distribusi ini dapat juga disebut '''distribusi khi-kuadrat sentral'''.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">[[File:Chi-square_distributionPDF.png|thumb|right|280px|Chi-square distributionPDF]]</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>Dalam [[teori probabilitas]] dan [[statistika]], '''distribusi khi-kuadrat''' () atau dengan ''k'' [[derajat bebas]] adalah distribusi jumlah kuadrat '''k''' [[peubah]] acak normal baku yang saling bebas. Distribusi ini sering kali digunakan dalam [[statistika inferensial]], seperti dalam [[uji hipotesis]], atau dalam penyusunan [[selang kepercayaan]].<ins style="font-weight: bold; text-decoration: none;"><ref>[https://id.wikipedia.org/w/index.php?title=Distribusi+khi-kuadrat&oldid=29279752 sumber pada Wikipedia bahasa Indonesia]</ref><ref>NIST (2006). [http://www.itl.nist.gov/div898/handbook/eda/section3/eda3666.htm Engineering Statistics Handbook - Chi-Square Distribution]</ref><ref>N.L. Jonhson. ''Continuous Univariate Distributions (Second Ed., Vol. 1, Chapter 18)''. John Willey and Sons. 1994. ISBN 0-471-58495-9.</ref><ref>Alexander Mood. ''Introduction to the Theory of Statistics (Third Edition, p. 241-246)''. McGraw-Hill. 1974. ISBN 0-07-042864-6.</ref> </ins>Apabila dibandingkan dengan [[distribusi khi-kuadrat nonsentral]], distribusi ini dapat juga disebut '''distribusi khi-kuadrat sentral'''.</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Salah satu penggunaan distribusi ini adalah [[uji khi-kuadrat]] untuk [[kebersesuaian]] (''goodness of fit'') suatu distribusi pengamatan dengan distribusi teoretis, kriteria klasifikasi analisis data yang saling bebas, serta [[pendugaan (statistika)|pendugaan]] selang kepercayaan untuk [[simpangan baku]] populasi berdistribusi normal dari simpangan baku sampel. Sejumlah pengujian statistika juga menggunakan distribusi ini, seperti [[Uji Friedman]].</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Salah satu penggunaan distribusi ini adalah [[uji khi-kuadrat]] untuk [[kebersesuaian]] (''goodness of fit'') suatu distribusi pengamatan dengan distribusi teoretis, kriteria klasifikasi analisis data yang saling bebas, serta [[pendugaan (statistika)|pendugaan]] selang kepercayaan untuk [[simpangan baku]] populasi berdistribusi normal dari simpangan baku sampel. Sejumlah pengujian statistika juga menggunakan distribusi ini, seperti [[Uji Friedman]].</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Distribusi khi-kuadrat merupakan kasus khusus [[distribusi gamma]].</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Distribusi khi-kuadrat merupakan kasus khusus [[distribusi gamma]].</div></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;"></del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">== Referensi ==</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;"></del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">* Wilson, E.B. Hilferty, M.M. (1931) The distribution of chi-square. ''Proceedings of the National Academy of Sciences, Washington'', 17, 684–688.</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Pranala luar ==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== Pranala luar ==</div></td></tr>
<tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l15">Baris 15:</td>
<td colspan="2" class="diff-lineno">Baris 13:</td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.jstor.org/stable/2348373 Simple algorithm for approximating cdf and inverse cdf for the chi-square distribution with a pocket calculator]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [http://www.jstor.org/stable/2348373 Simple algorithm for approximating cdf and inverse cdf for the chi-square distribution with a pocket calculator]</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">== Referensi ==</ins></div></td></tr>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">== Sumber dan atribusi ==</ins></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>== <del style="font-weight: bold; text-decoration: none;">Sumber </del>dan <del style="font-weight: bold; text-decoration: none;">atribusi ==</del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">Konten artikel ini diadaptasi dari [https://id.wikipedia.org/w/index.php?title</ins>=<ins style="font-weight: bold; text-decoration: none;">Distribusi+khi-kuadrat&oldid</ins>=<ins style="font-weight: bold; text-decoration: none;">29279752 Wikipedia bahasa Indonesia], revisi 29279752 (2026-05-27T14:12:29Z), yang tersedia berdasarkan lisensi Creative Commons Atribusi-BerbagiSerupa (CC BY-SA). Gambar pada artikel ini bersumber dari Wikimedia Commons </ins>dan <ins style="font-weight: bold; text-decoration: none;">mengikuti ketentuan lisensi masing-masing berkas. Mohon gunakan konten dan media secara bijak serta sesuai dengan ketentuan lisensi yang berlaku.</ins></div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">Konten artikel ini diadaptasi dari [https://id.wikipedia.org/w/index.php?title=Distribusi+khi</del>-<del style="font-weight: bold; text-decoration: none;">kuadrat&oldid=29279752 Wikipedia bahasa Indonesia], revisi 29279752 (2026</del>-<del style="font-weight: bold; text-decoration: none;">05</del>-<del style="font-weight: bold; text-decoration: none;">27T14:12:29Z), yang tersedia berdasarkan lisensi Creative Commons Atribusi</del>-<del style="font-weight: bold; text-decoration: none;">BerbagiSerupa (CC BY-SA). Mohon gunakan konten ini secara bijak serta sesuai dengan ketentuan lisensi yang berlaku.</del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"><!</ins>-- <ins style="font-weight: bold; text-decoration: none;">WIKI_UNISSULA_PRESENTATION_V4 </ins>--<ins style="font-weight: bold; text-decoration: none;">></ins></div></td></tr>
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Maintenance script: Impor teks terkontrol dari Wikipedia bahasa Indonesia; revisi 29279752; atribusi sumber disertakan.
2026-08-25T17:22:17Z
<p>Impor teks terkontrol dari Wikipedia bahasa Indonesia; revisi 29279752; atribusi sumber disertakan.</p>
<p><b>Halaman baru</b></p><div>Dalam [[teori probabilitas]] dan [[statistika]], '''distribusi khi-kuadrat''' () atau dengan ''k'' [[derajat bebas]] adalah distribusi jumlah kuadrat '''k''' [[peubah]] acak normal baku yang saling bebas. Distribusi ini sering kali digunakan dalam [[statistika inferensial]], seperti dalam [[uji hipotesis]], atau dalam penyusunan [[selang kepercayaan]]. Apabila dibandingkan dengan [[distribusi khi-kuadrat nonsentral]], distribusi ini dapat juga disebut '''distribusi khi-kuadrat sentral'''.<br />
<br />
Salah satu penggunaan distribusi ini adalah [[uji khi-kuadrat]] untuk [[kebersesuaian]] (''goodness of fit'') suatu distribusi pengamatan dengan distribusi teoretis, kriteria klasifikasi analisis data yang saling bebas, serta [[pendugaan (statistika)|pendugaan]] selang kepercayaan untuk [[simpangan baku]] populasi berdistribusi normal dari simpangan baku sampel. Sejumlah pengujian statistika juga menggunakan distribusi ini, seperti [[Uji Friedman]].<br />
<br />
Distribusi khi-kuadrat merupakan kasus khusus [[distribusi gamma]].<br />
<br />
== Referensi ==<br />
<br />
* Wilson, E.B. Hilferty, M.M. (1931) The distribution of chi-square. ''Proceedings of the National Academy of Sciences, Washington'', 17, 684–688.<br />
<br />
== Pranala luar ==<br />
* [http://jeff560.tripod.com/c.html Earliest Uses of Some of the Words of Mathematics: entry on Chi square has a brief history]<br />
* [http://www.stat.yale.edu/Courses/1997-98/101/chigf.htm Course notes on Chi-Square Goodness of Fit Testing] from Yale University Stats 101 class.<br />
* [http://demonstrations.wolfram.com/StatisticsAssociatedWithNormalSamples/ ''Mathematica'' demonstration showing the chi-squared sampling distribution of various statistics, e.g. Σ''x''², for a normal population]<br />
* [http://www.jstor.org/stable/2348373 Simple algorithm for approximating cdf and inverse cdf for the chi-square distribution with a pocket calculator]<br />
<br />
<br />
<br />
== Sumber dan atribusi ==<br />
<br />
Konten artikel ini diadaptasi dari [https://id.wikipedia.org/w/index.php?title=Distribusi+khi-kuadrat&oldid=29279752 Wikipedia bahasa Indonesia], revisi 29279752 (2026-05-27T14:12:29Z), yang tersedia berdasarkan lisensi Creative Commons Atribusi-BerbagiSerupa (CC BY-SA). Mohon gunakan konten ini secara bijak serta sesuai dengan ketentuan lisensi yang berlaku.</div>
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