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    <title>topic Optimization of single value in SAS Enterprise Guide</title>
    <link>https://communities.sas.com/t5/SAS-Enterprise-Guide/Optimization-of-single-value/m-p/55118#M5802</link>
    <description>Hi. I have not built models in SAS before, but any help would be greatly appreciated.  Ultimately, I would like to find the optimal "score" values in the following table:&lt;BR /&gt;
age_LB | age_UB | score&lt;BR /&gt;
20 | 29 | 20&lt;BR /&gt;
30 | 39 | 30&lt;BR /&gt;
40 | 49 | 40&lt;BR /&gt;
&lt;BR /&gt;
A score gets assigned depending on the age of the person according to the values above.  The dataset would look something like this:&lt;BR /&gt;
name | age | GB | Score&lt;BR /&gt;
peter | 21 | G | 20&lt;BR /&gt;
jo | 31 | G | 30&lt;BR /&gt;
mary | 41 | G | 40&lt;BR /&gt;
sam | 21 | B | 20&lt;BR /&gt;
paul | 31 | B | 30&lt;BR /&gt;
jane | 41 | B | 40&lt;BR /&gt;
&lt;BR /&gt;
Now what I need to do is to change the scores in the first table such that the following statistic is maximized:&lt;BR /&gt;
(Mean_G - Mean_B)^2/(0.5*(Variance_G^2 + Variance_B^2))&lt;BR /&gt;
where Mean_G is the mean score for the "G"'s, etc.&lt;BR /&gt;
&lt;BR /&gt;
Also, there is also a criterion that the scores must not decrease as the age increases and they cannot be negative (e.g. the scores must go 20 &amp;lt; 30 &amp;lt; 40).&lt;BR /&gt;
&lt;BR /&gt;
Any ideas on how to go about tackling this problem?  Thanks very much!</description>
    <pubDate>Fri, 23 Jul 2010 18:22:01 GMT</pubDate>
    <dc:creator>deleted_user</dc:creator>
    <dc:date>2010-07-23T18:22:01Z</dc:date>
    <item>
      <title>Optimization of single value</title>
      <link>https://communities.sas.com/t5/SAS-Enterprise-Guide/Optimization-of-single-value/m-p/55118#M5802</link>
      <description>Hi. I have not built models in SAS before, but any help would be greatly appreciated.  Ultimately, I would like to find the optimal "score" values in the following table:&lt;BR /&gt;
age_LB | age_UB | score&lt;BR /&gt;
20 | 29 | 20&lt;BR /&gt;
30 | 39 | 30&lt;BR /&gt;
40 | 49 | 40&lt;BR /&gt;
&lt;BR /&gt;
A score gets assigned depending on the age of the person according to the values above.  The dataset would look something like this:&lt;BR /&gt;
name | age | GB | Score&lt;BR /&gt;
peter | 21 | G | 20&lt;BR /&gt;
jo | 31 | G | 30&lt;BR /&gt;
mary | 41 | G | 40&lt;BR /&gt;
sam | 21 | B | 20&lt;BR /&gt;
paul | 31 | B | 30&lt;BR /&gt;
jane | 41 | B | 40&lt;BR /&gt;
&lt;BR /&gt;
Now what I need to do is to change the scores in the first table such that the following statistic is maximized:&lt;BR /&gt;
(Mean_G - Mean_B)^2/(0.5*(Variance_G^2 + Variance_B^2))&lt;BR /&gt;
where Mean_G is the mean score for the "G"'s, etc.&lt;BR /&gt;
&lt;BR /&gt;
Also, there is also a criterion that the scores must not decrease as the age increases and they cannot be negative (e.g. the scores must go 20 &amp;lt; 30 &amp;lt; 40).&lt;BR /&gt;
&lt;BR /&gt;
Any ideas on how to go about tackling this problem?  Thanks very much!</description>
      <pubDate>Fri, 23 Jul 2010 18:22:01 GMT</pubDate>
      <guid>https://communities.sas.com/t5/SAS-Enterprise-Guide/Optimization-of-single-value/m-p/55118#M5802</guid>
      <dc:creator>deleted_user</dc:creator>
      <dc:date>2010-07-23T18:22:01Z</dc:date>
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