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    <title>topic Confidence interval for parameters and inverse predictions in Discussions</title>
    <link>https://community.jmp.com/t5/Discussions/Confidence-interval-for-parameters-and-inverse-predictions/m-p/801811#M97769</link>
    <description>&lt;P&gt;&lt;SPAN&gt;Dear JMP community,&amp;nbsp;&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;SPAN&gt;I am fitting a probit regression between proportion of success and a&amp;nbsp;continuous variable X. The screenshots below are the fit model outputs. I also got inverse predictions when the success are 0.05 ~ 0.95. I am wondering: 1) what are the confidence intervals for the parameter estimates, are they the&amp;nbsp;Wald confidence interval? 2)&amp;nbsp;what are the confidence intervals for the inverse predictions, are they the&amp;nbsp;Wald confidence interval or calculated using the Fieller’s theorem? Thanks!&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="Jogger560_1-1727283325630.png" style="width: 400px;"&gt;&lt;img src="https://community.jmp.com/t5/image/serverpage/image-id/68579iD859C30849A8D10D/image-size/medium?v=v2&amp;amp;px=400" role="button" title="Jogger560_1-1727283325630.png" alt="Jogger560_1-1727283325630.png" /&gt;&lt;/span&gt;&lt;/P&gt;&lt;P&gt;&lt;span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="Jogger560_2-1727283510133.png" style="width: 400px;"&gt;&lt;img src="https://community.jmp.com/t5/image/serverpage/image-id/68580i6327512634F16E84/image-size/medium?v=v2&amp;amp;px=400" role="button" title="Jogger560_2-1727283510133.png" alt="Jogger560_2-1727283510133.png" /&gt;&lt;/span&gt;&lt;/P&gt;&lt;P&gt;&lt;span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="Jogger560_3-1727283526224.png" style="width: 400px;"&gt;&lt;img src="https://community.jmp.com/t5/image/serverpage/image-id/68581iF64B8AAE95012260/image-size/medium?v=v2&amp;amp;px=400" role="button" title="Jogger560_3-1727283526224.png" alt="Jogger560_3-1727283526224.png" /&gt;&lt;/span&gt;&lt;/P&gt;&lt;P&gt;&amp;nbsp;&lt;/P&gt;&lt;P&gt;&amp;nbsp;&lt;/P&gt;</description>
    <pubDate>Wed, 25 Sep 2024 17:02:00 GMT</pubDate>
    <dc:creator>Jogger560</dc:creator>
    <dc:date>2024-09-25T17:02:00Z</dc:date>
    <item>
      <title>Confidence interval for parameters and inverse predictions</title>
      <link>https://community.jmp.com/t5/Discussions/Confidence-interval-for-parameters-and-inverse-predictions/m-p/801811#M97769</link>
      <description>&lt;P&gt;&lt;SPAN&gt;Dear JMP community,&amp;nbsp;&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;SPAN&gt;I am fitting a probit regression between proportion of success and a&amp;nbsp;continuous variable X. The screenshots below are the fit model outputs. I also got inverse predictions when the success are 0.05 ~ 0.95. I am wondering: 1) what are the confidence intervals for the parameter estimates, are they the&amp;nbsp;Wald confidence interval? 2)&amp;nbsp;what are the confidence intervals for the inverse predictions, are they the&amp;nbsp;Wald confidence interval or calculated using the Fieller’s theorem? Thanks!&lt;/SPAN&gt;&lt;/P&gt;&lt;P&gt;&lt;span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="Jogger560_1-1727283325630.png" style="width: 400px;"&gt;&lt;img src="https://community.jmp.com/t5/image/serverpage/image-id/68579iD859C30849A8D10D/image-size/medium?v=v2&amp;amp;px=400" role="button" title="Jogger560_1-1727283325630.png" alt="Jogger560_1-1727283325630.png" /&gt;&lt;/span&gt;&lt;/P&gt;&lt;P&gt;&lt;span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="Jogger560_2-1727283510133.png" style="width: 400px;"&gt;&lt;img src="https://community.jmp.com/t5/image/serverpage/image-id/68580i6327512634F16E84/image-size/medium?v=v2&amp;amp;px=400" role="button" title="Jogger560_2-1727283510133.png" alt="Jogger560_2-1727283510133.png" /&gt;&lt;/span&gt;&lt;/P&gt;&lt;P&gt;&lt;span class="lia-inline-image-display-wrapper lia-image-align-inline" image-alt="Jogger560_3-1727283526224.png" style="width: 400px;"&gt;&lt;img src="https://community.jmp.com/t5/image/serverpage/image-id/68581iF64B8AAE95012260/image-size/medium?v=v2&amp;amp;px=400" role="button" title="Jogger560_3-1727283526224.png" alt="Jogger560_3-1727283526224.png" /&gt;&lt;/span&gt;&lt;/P&gt;&lt;P&gt;&amp;nbsp;&lt;/P&gt;&lt;P&gt;&amp;nbsp;&lt;/P&gt;</description>
      <pubDate>Wed, 25 Sep 2024 17:02:00 GMT</pubDate>
      <guid>https://community.jmp.com/t5/Discussions/Confidence-interval-for-parameters-and-inverse-predictions/m-p/801811#M97769</guid>
      <dc:creator>Jogger560</dc:creator>
      <dc:date>2024-09-25T17:02:00Z</dc:date>
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