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    <title>topic Re: interpretation confidence intervals for proportions in Statistical Procedures</title>
    <link>https://communities.sas.com/t5/Statistical-Procedures/interpretation-confidence-intervals-for-proportions/m-p/801937#M39422</link>
    <description>&lt;P&gt;Thank you. The actual data in the table was made up, I was just trying to get feedback on the way of presenting the data. Does it make sense to show the CIs for both males and females here for each category of education? Is there anything wrong with this way of presenting the data? Is it better just to show the data for females only for example? (since you can deduce from that the data for males?)&lt;/P&gt;</description>
    <pubDate>Mon, 14 Mar 2022 15:03:20 GMT</pubDate>
    <dc:creator>mjkop56</dc:creator>
    <dc:date>2022-03-14T15:03:20Z</dc:date>
    <item>
      <title>interpretation confidence intervals for proportions</title>
      <link>https://communities.sas.com/t5/Statistical-Procedures/interpretation-confidence-intervals-for-proportions/m-p/801877#M39413</link>
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&lt;DIV class="postcell post-layout--right" style="margin: 0px; padding: 0px 16px 0px 0px; border: 0px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-variant-numeric: inherit; font-variant-east-asian: inherit; font-weight: 400; font-stretch: inherit; line-height: inherit; font-family: -apple-system, BlinkMacSystemFont, 'Segoe UI', 'Liberation Sans', sans-serif; font-size: 13px; vertical-align: top; box-sizing: inherit; grid-column: 2 / auto; width: auto; min-width: 0px; color: #232629; letter-spacing: normal; orphans: 2; text-align: left; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: #ffffff; text-decoration-style: initial; text-decoration-color: initial;"&gt;
&lt;DIV class="s-prose js-post-body" style="margin: 0px; padding: 0px; border: 0px; font-style: inherit; font-variant: inherit; font-weight: inherit; font-stretch: inherit; line-height: var(--s-prose-line-height); font-family: var(--theme-question-body-font-family); font-size: 15px; vertical-align: baseline; box-sizing: inherit; --s-prose-line-height: 1.5; --s-prose-spacing: 1.1em; --s-prose-spacing-condensed: calc(var(--s-prose-spacing) / 2); overflow-wrap: break-word; width: 659px;"&gt;
&lt;P style="padding: 0px; border: 0px; font-style: inherit; font-variant: inherit; font-weight: inherit; font-stretch: inherit; line-height: inherit; font-family: inherit; font-size: 15px; vertical-align: baseline; box-sizing: inherit; clear: both; margin: 0px 0px var(--s-prose-spacing) 0px;"&gt;I'm conducting an analysis of survey data. The below tables (note - data is made up!!) shows, of each education category, the percentage of males and females. For example, of those with high school degree, 40% are male and 60% are female (40%+60% = 100%). The table also shows the standard errors and confidence intervals. The goal is really to just try to get at the reliability of the proportions. Two questions:&lt;/P&gt;
&lt;OL style="padding: 0px; border: 0px; font-style: inherit; font-variant: inherit; font-weight: inherit; font-stretch: inherit; line-height: inherit; font-family: inherit; font-size: 15px; vertical-align: baseline; list-style: decimal; box-sizing: inherit; margin: 0px 0px var(--s-prose-spacing) 30px;"&gt;
&lt;LI style="padding: 0px; border: 0px; font-style: inherit; font-variant: inherit; font-weight: inherit; font-stretch: inherit; line-height: inherit; font-family: inherit; font-size: 15px; vertical-align: baseline; box-sizing: inherit; overflow-wrap: break-word; margin: 0px 0px var(--s-prose-spacing-condensed) 0px;"&gt;
&lt;P style="margin: 0px; padding: 0px; border: 0px; font-style: inherit; font-variant: inherit; font-weight: inherit; font-stretch: inherit; line-height: inherit; font-family: inherit; font-size: 15px; vertical-align: baseline; box-sizing: inherit; clear: both;"&gt;I'm not very familiar with SEs and CIs around proportions. Does it make sense to show the SEs and CIs around the proportions of females and males each individually when the proportion of female+male = 100%? Is there anything inherently wrong with this table?&lt;/P&gt;
&lt;/LI&gt;
&lt;LI style="margin: 0px; padding: 0px; border: 0px; font-style: inherit; font-variant: inherit; font-weight: inherit; font-stretch: inherit; line-height: inherit; font-family: inherit; font-size: 15px; vertical-align: baseline; box-sizing: inherit; overflow-wrap: break-word;"&gt;
&lt;P style="margin: 0px; padding: 0px; border: 0px; font-style: inherit; font-variant: inherit; font-weight: inherit; font-stretch: inherit; line-height: inherit; font-family: inherit; font-size: 15px; vertical-align: baseline; box-sizing: inherit; clear: both;"&gt;Does it make sense to compare the CIs across any of these categories? I'm under the impression that one needs a statistical test to deduce statistical significance.&lt;/P&gt;
&lt;/LI&gt;
&lt;LI style="margin: 0px; padding: 0px; border: 0px; font-style: inherit; font-variant: inherit; font-weight: inherit; font-stretch: inherit; line-height: inherit; font-family: inherit; font-size: 15px; vertical-align: baseline; box-sizing: inherit; overflow-wrap: break-word;"&gt;
&lt;P style="margin: 0px; padding: 0px; border: 0px; font-style: inherit; font-variant: inherit; font-weight: inherit; font-stretch: inherit; line-height: inherit; font-family: inherit; font-size: 15px; vertical-align: baseline; box-sizing: inherit; clear: both;"&gt;Thanks in advance for any help. (Note - cross posted to statsexchange but no responses)&lt;/P&gt;
&lt;/LI&gt;
&lt;/OL&gt;
&lt;TABLE border="0" cellspacing="0"&gt;&lt;COLGROUP width="164"&gt;&lt;/COLGROUP&gt; &lt;COLGROUP width="85"&gt;&lt;/COLGROUP&gt; &lt;COLGROUP width="76"&gt;&lt;/COLGROUP&gt; &lt;COLGROUP span="4" width="85"&gt;&lt;/COLGROUP&gt;
&lt;TBODY&gt;
&lt;TR&gt;
&lt;TD height="40" align="left" style="border: 1px solid #000000;"&gt;&amp;nbsp;&lt;/TD&gt;
&lt;TD colspan="3" align="center" valign="middle" style="border: 1px solid #000000;"&gt;Male&lt;/TD&gt;
&lt;TD colspan="3" align="center" valign="middle" style="border: 1px solid #000000;"&gt;Female&lt;/TD&gt;
&lt;/TR&gt;
&lt;TR&gt;
&lt;TD height="32" align="left" style="border: 1px solid #000000;"&gt;Education&lt;/TD&gt;
&lt;TD align="left" style="border: 1px solid #000000;"&gt;Weighted proportion&lt;/TD&gt;
&lt;TD align="left" style="border: 1px solid #000000;"&gt;SE&lt;/TD&gt;
&lt;TD align="left" style="border: 1px solid #000000;"&gt;95% CI&lt;/TD&gt;
&lt;TD align="left" style="border: 1px solid #000000;"&gt;Weighted proportion&lt;/TD&gt;
&lt;TD align="left" style="border: 1px solid #000000;"&gt;SE&lt;/TD&gt;
&lt;TD align="left" style="border: 1px solid #000000;"&gt;95% CI&lt;/TD&gt;
&lt;/TR&gt;
&lt;TR&gt;
&lt;TD height="17" align="left" style="border: 1px solid #000000;"&gt;Graduate or professional&lt;/TD&gt;
&lt;TD align="right" style="border: 1px solid #000000;"&gt;70%&lt;/TD&gt;
&lt;TD align="right" style="border: 1px solid #000000;"&gt;2.0%&lt;/TD&gt;
&lt;TD align="left" style="border: 1px solid #000000;"&gt;64%-75%&lt;/TD&gt;
&lt;TD align="right" style="border: 1px solid #000000;"&gt;30%&lt;/TD&gt;
&lt;TD align="right" style="border: 1px solid #000000;"&gt;1.3%&lt;/TD&gt;
&lt;TD align="left" style="border: 1px solid #000000;"&gt;25%-35%&lt;/TD&gt;
&lt;/TR&gt;
&lt;TR&gt;
&lt;TD height="17" align="left" style="border: 1px solid #000000;"&gt;Bachelors&lt;/TD&gt;
&lt;TD align="right" style="border: 1px solid #000000;"&gt;65%&lt;/TD&gt;
&lt;TD align="right" style="border: 1px solid #000000;"&gt;1.0%&lt;/TD&gt;
&lt;TD align="left" style="border: 1px solid #000000;"&gt;45%-70%&lt;/TD&gt;
&lt;TD align="right" style="border: 1px solid #000000;"&gt;35%&lt;/TD&gt;
&lt;TD align="right" style="border: 1px solid #000000;"&gt;1.0%&lt;/TD&gt;
&lt;TD align="left" style="border: 1px solid #000000;"&gt;30%-40%&lt;/TD&gt;
&lt;/TR&gt;
&lt;TR&gt;
&lt;TD height="17" align="left" style="border: 1px solid #000000;"&gt;Associate’s&lt;/TD&gt;
&lt;TD align="right" style="border: 1px solid #000000;"&gt;55%&lt;/TD&gt;
&lt;TD align="right" style="border: 1px solid #000000;"&gt;1.2%&lt;/TD&gt;
&lt;TD align="left" style="border: 1px solid #000000;"&gt;50%-65%&lt;/TD&gt;
&lt;TD align="right" style="border: 1px solid #000000;"&gt;45%&lt;/TD&gt;
&lt;TD align="right" style="border: 1px solid #000000;"&gt;1.6%&lt;/TD&gt;
&lt;TD align="left" style="border: 1px solid #000000;"&gt;40%-50%&lt;/TD&gt;
&lt;/TR&gt;
&lt;TR&gt;
&lt;TD height="17" align="left" style="border: 1px solid #000000;"&gt;Some college, no degree&lt;/TD&gt;
&lt;TD align="right" style="border: 1px solid #000000;"&gt;45%&lt;/TD&gt;
&lt;TD align="right" style="border: 1px solid #000000;"&gt;2.0%&lt;/TD&gt;
&lt;TD align="left" style="border: 1px solid #000000;"&gt;40%-50%&lt;/TD&gt;
&lt;TD align="right" style="border: 1px solid #000000;"&gt;55%&lt;/TD&gt;
&lt;TD align="right" style="border: 1px solid #000000;"&gt;1.7%&lt;/TD&gt;
&lt;TD align="left" style="border: 1px solid #000000;"&gt;50%-60%&lt;/TD&gt;
&lt;/TR&gt;
&lt;TR&gt;
&lt;TD height="17" align="left" style="border: 1px solid #000000;"&gt;HS graduate&lt;/TD&gt;
&lt;TD align="right" style="border: 1px solid #000000;"&gt;40%&lt;/TD&gt;
&lt;TD align="right" style="border: 1px solid #000000;"&gt;1.3%&lt;/TD&gt;
&lt;TD align="left" style="border: 1px solid #000000;"&gt;30%-50%&lt;/TD&gt;
&lt;TD align="right" style="border: 1px solid #000000;"&gt;60%&lt;/TD&gt;
&lt;TD align="right" style="border: 1px solid #000000;"&gt;1.2%&lt;/TD&gt;
&lt;TD align="left" style="border: 1px solid #000000;"&gt;55%-65%&lt;/TD&gt;
&lt;/TR&gt;
&lt;/TBODY&gt;
&lt;/TABLE&gt;
&lt;/DIV&gt;
&lt;/DIV&gt;</description>
      <pubDate>Sun, 13 Mar 2022 19:39:26 GMT</pubDate>
      <guid>https://communities.sas.com/t5/Statistical-Procedures/interpretation-confidence-intervals-for-proportions/m-p/801877#M39413</guid>
      <dc:creator>mjkop56</dc:creator>
      <dc:date>2022-03-13T19:39:26Z</dc:date>
    </item>
    <item>
      <title>Re: interpretation confidence intervals for proportions</title>
      <link>https://communities.sas.com/t5/Statistical-Procedures/interpretation-confidence-intervals-for-proportions/m-p/801914#M39418</link>
      <description>&lt;P&gt;I would expect to see such detail if I had 3 or more categories such as with race or age groups. If you have a strictly binomial proportion then would would expect the P of 1 to be 1-P of the other and the confidence limits to be similar. There might be just be sufficient rounding but I would expect for the first row with a CI of (64%-75%) to have the (25%-36%) for females and would disbelieve the 2nd, 3rd and 5th row CIs because of differences. The upper limit of one should be very close to 1-lowerlimit of the other.&lt;/P&gt;</description>
      <pubDate>Mon, 14 Mar 2022 10:07:11 GMT</pubDate>
      <guid>https://communities.sas.com/t5/Statistical-Procedures/interpretation-confidence-intervals-for-proportions/m-p/801914#M39418</guid>
      <dc:creator>ballardw</dc:creator>
      <dc:date>2022-03-14T10:07:11Z</dc:date>
    </item>
    <item>
      <title>Re: interpretation confidence intervals for proportions</title>
      <link>https://communities.sas.com/t5/Statistical-Procedures/interpretation-confidence-intervals-for-proportions/m-p/801930#M39420</link>
      <description>&lt;P&gt;&amp;gt;&amp;gt;&amp;gt;2.Does it make sense to compare the CIs across any of these categories? I'm under the impression that one needs a statistical test to deduce statistical significance.&lt;/P&gt;
&lt;P&gt;&amp;nbsp;&lt;/P&gt;
&lt;P&gt;No, you should not compare the confidence intervals to see if they intersect when wanting to test for differences.&amp;nbsp; If you want to test for differences then you can use one of the approaches in this usage note&lt;/P&gt;
&lt;P&gt;&lt;A href="https://support.sas.com/kb/22/565.html" target="_blank"&gt;22565 - Testing for differences in a two-way table with a significant chi-square (sas.com)&lt;/A&gt;&lt;/P&gt;</description>
      <pubDate>Mon, 14 Mar 2022 13:38:44 GMT</pubDate>
      <guid>https://communities.sas.com/t5/Statistical-Procedures/interpretation-confidence-intervals-for-proportions/m-p/801930#M39420</guid>
      <dc:creator>SAS_Rob</dc:creator>
      <dc:date>2022-03-14T13:38:44Z</dc:date>
    </item>
    <item>
      <title>Re: interpretation confidence intervals for proportions</title>
      <link>https://communities.sas.com/t5/Statistical-Procedures/interpretation-confidence-intervals-for-proportions/m-p/801937#M39422</link>
      <description>&lt;P&gt;Thank you. The actual data in the table was made up, I was just trying to get feedback on the way of presenting the data. Does it make sense to show the CIs for both males and females here for each category of education? Is there anything wrong with this way of presenting the data? Is it better just to show the data for females only for example? (since you can deduce from that the data for males?)&lt;/P&gt;</description>
      <pubDate>Mon, 14 Mar 2022 15:03:20 GMT</pubDate>
      <guid>https://communities.sas.com/t5/Statistical-Procedures/interpretation-confidence-intervals-for-proportions/m-p/801937#M39422</guid>
      <dc:creator>mjkop56</dc:creator>
      <dc:date>2022-03-14T15:03:20Z</dc:date>
    </item>
    <item>
      <title>Re: interpretation confidence intervals for proportions</title>
      <link>https://communities.sas.com/t5/Statistical-Procedures/interpretation-confidence-intervals-for-proportions/m-p/801939#M39423</link>
      <description>&lt;P&gt;thank you!&lt;/P&gt;</description>
      <pubDate>Mon, 14 Mar 2022 14:09:25 GMT</pubDate>
      <guid>https://communities.sas.com/t5/Statistical-Procedures/interpretation-confidence-intervals-for-proportions/m-p/801939#M39423</guid>
      <dc:creator>mjkop56</dc:creator>
      <dc:date>2022-03-14T14:09:25Z</dc:date>
    </item>
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