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删除5字节 、 2021年8月8日 (日) 22:23
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====弧线法====
 
====弧线法====
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设X ~ B(n,p1)和Y ~ B(m,p2)是独立的。设T = (X/n)/(Y/m)。
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设X&nbsp;~&nbsp;B(n,p1)和Y&nbsp;~&nbsp;B(m,p2)是独立的。设T = (X/n)/(Y/m)。<ref name="Pires00">{{cite book |last=Pires |first=M. A. |chapterurl=https://www.math.tecnico.ulisboa.pt/~apires/PDFs/AP_COMPSTAT02.pdf |chapter=Confidence intervals for a binomial proportion: comparison of methods and software evaluation |editor-last=Klinke |editor-first=S. |editor2-last=Ahrend |editor2-first=P. |editor3-last=Richter |editor3-first=L. |title=Proceedings of the Conference CompStat 2002 |others=Short Communications and Posters |year=2002 }}</ref>
 
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<ref name="Pires00">{{cite book |last=Pires |first=M. A. |chapterurl=https://www.math.tecnico.ulisboa.pt/~apires/PDFs/AP_COMPSTAT02.pdf |chapter=Confidence intervals for a binomial proportion: comparison of methods and software evaluation |editor-last=Klinke |editor-first=S. |editor2-last=Ahrend |editor2-first=P. |editor3-last=Richter |editor3-first=L. |title=Proceedings of the Conference CompStat 2002 |others=Short Communications and Posters |year=2002 }}</ref>
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然后log(T)近似服从正态分布,均值为log(p1/p2)和方差为<math>((1/p1)&nbsp;−&nbsp;1)/n&nbsp;+&nbsp;((1/p2)&nbsp;−&nbsp;1)/m</math>。
 
然后log(T)近似服从正态分布,均值为log(p1/p2)和方差为<math>((1/p1)&nbsp;−&nbsp;1)/n&nbsp;+&nbsp;((1/p2)&nbsp;−&nbsp;1)/m</math>。
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: <math>\sin^2 \left(\arcsin \left(\sqrt{\widehat{p\,}}\right) \pm \frac{z}{2\sqrt{n}} \right).</math>
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:<math>\sin^2 \left(\arcsin \left(\sqrt{\widehat{p\,}}\right) \pm \frac{z}{2\sqrt{n}} \right).</math>
 
      
====威尔逊法====
 
====威尔逊法====
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