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 <p>SQL functions for cox proportional hazards.
 <a href="#details">More...</a></p>

 <p><a href="cox__prop__hazards_8sql__in_source.html">Go to the source code of this file.</a></p>
 <table class="memberdecls">
 <tr><td colspan="2"><h2><a name="func-members"></a>
 Functions</h2></td></tr>
 <tr><td class="memItemLeft" align="right" valign="top">cox_prop_hazards_result&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="cox__prop__hazards_8sql__in.html#a9c04e1fd1353bb3cfb942b6251851179">cox_prop_hazards</a> (varchar source, varchar indepColumn, varchar depColumn, integer maxNumIterations=20, varchar optimizer=&quot;newton&quot;, float8 precision=0.0001)</td></tr>
 <tr><td class="mdescLeft">&#160;</td><td class="mdescRight">Compute cox-regression coefficients and diagnostic statistics.  <a href="#a9c04e1fd1353bb3cfb942b6251851179"></a><br/></td></tr>
 </table>
 <hr/><a name="details" id="details"></a><h2>Detailed Description</h2>
 <div class="textblock"><dl class="date"><dt><b>Date:</b></dt><dd>July 2012</dd></dl>
 <dl class="see"><dt><b>See also:</b></dt><dd>For a brief introduction to cox regression, see the module description <a class="el" href="group__grp__cox__prop__hazards.html">Cox-Proportional Hazards Regression</a> </dd></dl>

 <p>Definition in file <a class="el" href="cox__prop__hazards_8sql__in_source.html">cox_prop_hazards.sql_in</a>.</p>
 </div><hr/><h2>Function Documentation</h2>
 <a class="anchor" id="a9c04e1fd1353bb3cfb942b6251851179"></a><!-- doxytag: member="cox_prop_hazards.sql_in::cox_prop_hazards" ref="a9c04e1fd1353bb3cfb942b6251851179" args="(varchar source, varchar indepColumn, varchar depColumn, integer maxNumIterations=20, varchar optimizer=&quot;newton&quot;, float8 precision=0.0001)" -->
 <div class="memitem">
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           <td class="memname">cox_prop_hazards_result cox_prop_hazards </td>
           <td>(</td>
           <td class="paramtype">varchar&#160;</td>
           <td class="paramname"><em>source</em>, </td>
         </tr>
         <tr>
           <td class="paramkey"></td>
           <td></td>
           <td class="paramtype">varchar&#160;</td>
           <td class="paramname"><em>indepColumn</em>, </td>
         </tr>
         <tr>
           <td class="paramkey"></td>
           <td></td>
           <td class="paramtype">varchar&#160;</td>
           <td class="paramname"><em>depColumn</em>, </td>
         </tr>
         <tr>
           <td class="paramkey"></td>
           <td></td>
           <td class="paramtype">integer&#160;</td>
           <td class="paramname"><em>maxNumIterations</em> = <code>20</code>, </td>
         </tr>
         <tr>
           <td class="paramkey"></td>
           <td></td>
           <td class="paramtype">varchar&#160;</td>
           <td class="paramname"><em>optimizer</em> = <code>&quot;newton&quot;</code>, </td>
         </tr>
         <tr>
           <td class="paramkey"></td>
           <td></td>
           <td class="paramtype">float8&#160;</td>
           <td class="paramname"><em>precision</em> = <code>0.0001</code>&#160;</td>
         </tr>
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           <td></td>
           <td>)</td>
           <td></td><td></td>
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 <p>To include an intercept in the model, set one coordinate in the <code>independentVariables</code> array to 1.</p>
 <dl><dt><b>Parameters:</b></dt><dd>
   <table class="params">
     <tr><td class="paramname">source</td><td>Name of the source relation containing the training data </td></tr>
     <tr><td class="paramname">indepColumn</td><td>Name of the independent column </td></tr>
     <tr><td class="paramname">depColumn</td><td>Name of the dependant column measuring time of death </td></tr>
     <tr><td class="paramname">maxNumIterations</td><td>The maximum number of iterations </td></tr>
     <tr><td class="paramname">optimizer</td><td>The optimizer to use (either <code>'newton'</code>/<code>'newton'</code> for the newton method </td></tr>
     <tr><td class="paramname">precision</td><td>The difference between log-likelihood values in successive iterations that should indicate convergence. Note that a non-positive value here disables the convergence criterion, and execution will only stop after <code>maxNumIterations</code> iterations.</td></tr>
   </table>
   </dd>
 </dl>
 <dl class="return"><dt><b>Returns:</b></dt><dd>A composite value:<ul>
 <li><code>coef FLOAT8[]</code> - Array of coefficients, \( \boldsymbol \beta \)</li>
 <li><code>log_likelihood FLOAT8</code> - Log-likelihood \(l(\boldsymbol \beta)\)</li>
 <li><code>std_err FLOAT8[]</code> - Array of standard errors, \( \mathit{se}(c_1), \dots, \mathit{se}(c_k) \)</li>
 <li><code>z_stats FLOAT8[]</code> - Array of Wald z-statistics, \( \boldsymbol z \)</li>
 <li><code>p_values FLOAT8[]</code> - Array of Wald p-values, \( \boldsymbol p \)</li>
 <li><code>condition_no FLOAT8</code> - The condition number of matrix \( H \) during the iteration immediately <em>preceding</em> convergence (i.e., \( H \) is computed using the coefficients of the previous iteration)</li>
 <li><code>num_iterations INTEGER</code> - The number of iterations before the algorithm terminated</li>
 </ul>
 </dd></dl>
 <ul>
 <li>Get vector of coefficients \( \boldsymbol \beta \) and all diagnostic statistics:<br/>
  <pre>SELECT * FROM <a class="el" href="cox__prop__hazards_8sql__in.html#a9c04e1fd1353bb3cfb942b6251851179">cox_prop_hazards</a>(
     '<em>sourceName</em>', '<em>dependentVariable</em>',
  		'<em>independentVariables</em>'
     [, <em>numberOfIterations</em> [, '<em>optimizer</em>' [, <em>precision</em> ] ] ]
  );</pre></li>
 <li>Get vector of coefficients \( \boldsymbol \beta \):<br/>
  <pre>SELECT (<a class="el" href="cox__prop__hazards_8sql__in.html#a9c04e1fd1353bb3cfb942b6251851179">cox_prop_hazards</a>('<em>sourceName</em>',
  '<em>dependentVariable</em>', '<em>independentVariables</em>')).coef;</pre></li>
 <li>Get a subset of the output columns, e.g., only the array of coefficients \( \boldsymbol \beta \), the log-likelihood of determination: <pre>SELECT coef, log_likelihood
  FROM <a class="el" href="cox__prop__hazards_8sql__in.html#a9c04e1fd1353bb3cfb942b6251851179">cox_prop_hazards</a>('<em>sourceName</em>', '<em>dependentVariable</em>',
  '<em>independentVariables</em>');</pre> </li>
 </ul>

 <p>Definition at line <a class="el" href="cox__prop__hazards_8sql__in_source.html#l00362">362</a> of file <a class="el" href="cox__prop__hazards_8sql__in_source.html">cox_prop_hazards.sql_in</a>.</p>

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	<div class="contents">

	<p>SQL functions for cox proportional hazards.
	<a href="#details">More...</a></p>

	<p><a href="cox__prop__hazards_8sql__in_source.html">Go to the source code of this file.</a></p>
	<table class="memberdecls">
	<tr><td colspan="2"><h2><a name="func-members"></a>
	Functions</h2></td></tr>
	<tr><td class="memItemLeft" align="right" valign="top">cox_prop_hazards_result </td><td class="memItemRight" valign="bottom"><a class="el" href="cox__prop__hazards_8sql__in.html#a9c04e1fd1353bb3cfb942b6251851179">cox_prop_hazards</a> (varchar source, varchar indepColumn, varchar depColumn, integer maxNumIterations=20, varchar optimizer="newton", float8 precision=0.0001)</td></tr>
	<tr><td class="mdescLeft"> </td><td class="mdescRight">Compute cox-regression coefficients and diagnostic statistics. <a href="#a9c04e1fd1353bb3cfb942b6251851179"></a><br/></td></tr>
	</table>
	<hr/><a name="details" id="details"></a><h2>Detailed Description</h2>
	<div class="textblock"><dl class="date"><dt><b>Date:</b></dt><dd>July 2012</dd></dl>
	<dl class="see"><dt><b>See also:</b></dt><dd>For a brief introduction to cox regression, see the module description <a class="el" href="group__grp__cox__prop__hazards.html">Cox-Proportional Hazards Regression</a> </dd></dl>

	<p>Definition in file <a class="el" href="cox__prop__hazards_8sql__in_source.html">cox_prop_hazards.sql_in</a>.</p>
	</div><hr/><h2>Function Documentation</h2>
	<a class="anchor" id="a9c04e1fd1353bb3cfb942b6251851179"></a><!-- doxytag: member="cox_prop_hazards.sql_in::cox_prop_hazards" ref="a9c04e1fd1353bb3cfb942b6251851179" args="(varchar source, varchar indepColumn, varchar depColumn, integer maxNumIterations=20, varchar optimizer="newton", float8 precision=0.0001)" -->
	<div class="memitem">
	<div class="memproto">
	<table class="memname">
	<tr>
	<td class="memname">cox_prop_hazards_result cox_prop_hazards </td>
	<td>(</td>
	<td class="paramtype">varchar </td>
	<td class="paramname"><em>source</em>, </td>
	</tr>
	<tr>
	<td class="paramkey"></td>
	<td></td>
	<td class="paramtype">varchar </td>
	<td class="paramname"><em>indepColumn</em>, </td>
	</tr>
	<tr>
	<td class="paramkey"></td>
	<td></td>
	<td class="paramtype">varchar </td>
	<td class="paramname"><em>depColumn</em>, </td>
	</tr>
	<tr>
	<td class="paramkey"></td>
	<td></td>
	<td class="paramtype">integer </td>
	<td class="paramname"><em>maxNumIterations</em> = <code>20</code>, </td>
	</tr>
	<tr>
	<td class="paramkey"></td>
	<td></td>
	<td class="paramtype">varchar </td>
	<td class="paramname"><em>optimizer</em> = <code>"newton"</code>, </td>
	</tr>
	<tr>
	<td class="paramkey"></td>
	<td></td>
	<td class="paramtype">float8 </td>
	<td class="paramname"><em>precision</em> = <code>0.0001</code> </td>
	</tr>
	<tr>
	<td></td>
	<td>)</td>
	<td></td><td></td>
	</tr>
	</table>
	</div>
	<div class="memdoc">
	<p>To include an intercept in the model, set one coordinate in the <code>independentVariables</code> array to 1.</p>
	<dl><dt><b>Parameters:</b></dt><dd>
	<table class="params">
	<tr><td class="paramname">source</td><td>Name of the source relation containing the training data </td></tr>
	<tr><td class="paramname">indepColumn</td><td>Name of the independent column </td></tr>
	<tr><td class="paramname">depColumn</td><td>Name of the dependant column measuring time of death </td></tr>
	<tr><td class="paramname">maxNumIterations</td><td>The maximum number of iterations </td></tr>
	<tr><td class="paramname">optimizer</td><td>The optimizer to use (either <code>'newton'</code>/<code>'newton'</code> for the newton method </td></tr>
	<tr><td class="paramname">precision</td><td>The difference between log-likelihood values in successive iterations that should indicate convergence. Note that a non-positive value here disables the convergence criterion, and execution will only stop after <code>maxNumIterations</code> iterations.</td></tr>
	</table>
	</dd>
	</dl>
	<dl class="return"><dt><b>Returns:</b></dt><dd>A composite value:<ul>
	<li><code>coef FLOAT8[]</code> - Array of coefficients, \( \boldsymbol \beta \)</li>
	<li><code>log_likelihood FLOAT8</code> - Log-likelihood \(l(\boldsymbol \beta)\)</li>
	<li><code>std_err FLOAT8[]</code> - Array of standard errors, \( \mathit{se}(c_1), \dots, \mathit{se}(c_k) \)</li>
	<li><code>z_stats FLOAT8[]</code> - Array of Wald z-statistics, \( \boldsymbol z \)</li>
	<li><code>p_values FLOAT8[]</code> - Array of Wald p-values, \( \boldsymbol p \)</li>
	<li><code>condition_no FLOAT8</code> - The condition number of matrix \( H \) during the iteration immediately <em>preceding</em> convergence (i.e., \( H \) is computed using the coefficients of the previous iteration)</li>
	<li><code>num_iterations INTEGER</code> - The number of iterations before the algorithm terminated</li>
	</ul>
	</dd></dl>
	<ul>
	<li>Get vector of coefficients \( \boldsymbol \beta \) and all diagnostic statistics:<br/>
	<pre>SELECT * FROM <a class="el" href="cox__prop__hazards_8sql__in.html#a9c04e1fd1353bb3cfb942b6251851179">cox_prop_hazards</a>(
	'<em>sourceName</em>', '<em>dependentVariable</em>',
	'<em>independentVariables</em>'
	[, <em>numberOfIterations</em> [, '<em>optimizer</em>' [, <em>precision</em> ] ] ]
	);</pre></li>
	<li>Get vector of coefficients \( \boldsymbol \beta \):<br/>
	<pre>SELECT (<a class="el" href="cox__prop__hazards_8sql__in.html#a9c04e1fd1353bb3cfb942b6251851179">cox_prop_hazards</a>('<em>sourceName</em>',
	'<em>dependentVariable</em>', '<em>independentVariables</em>')).coef;</pre></li>
	<li>Get a subset of the output columns, e.g., only the array of coefficients \( \boldsymbol \beta \), the log-likelihood of determination: <pre>SELECT coef, log_likelihood
	FROM <a class="el" href="cox__prop__hazards_8sql__in.html#a9c04e1fd1353bb3cfb942b6251851179">cox_prop_hazards</a>('<em>sourceName</em>', '<em>dependentVariable</em>',
	'<em>independentVariables</em>');</pre> </li>
	</ul>

	<p>Definition at line <a class="el" href="cox__prop__hazards_8sql__in_source.html#l00362">362</a> of file <a class="el" href="cox__prop__hazards_8sql__in_source.html">cox_prop_hazards.sql_in</a>.</p>

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