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11cnl_sparse.html
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11cnl_sparse.html
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<html>
<head>
<script src="http://transp-or.epfl.ch/biogeme/sorttable.js"></script>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8" />
<title>11cnl_sparse - Report from biogeme 3.2.6 [2020-06-02]</title>
<meta name="keywords" content="biogeme, discrete choice, random utility">
<meta name="description" content="Report from biogeme 3.2.6 [2020-06-02]">
<meta name="author" content="{bv.author}">
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<p>biogeme 3.2.6 [2020-06-02]</p>
<p><a href="https://www.python.org/" target="_blank">Python</a> package</p>
<p>Home page: <a href="http://biogeme.epfl.ch" target="_blank">http://biogeme.epfl.ch</a></p>
<p>Submit questions to <a href="https://groups.google.com/d/forum/biogeme" target="_blank">https://groups.google.com/d/forum/biogeme</a></p>
<p><a href="http://people.epfl.ch/michel.bierlaire">Michel Bierlaire</a>, <a href="http://transp-or.epfl.ch">Transport and Mobility Laboratory</a>, <a href="http://www.epfl.ch">Ecole Polytechnique Fédérale de Lausanne (EPFL)</a></p>
<p>This file has automatically been generated on 2020-06-02 10:38:33.316208</p>
<p>If you drag this HTML file into the Calc application of <a href="http://www.openoffice.org/" target="_blank">OpenOffice</a>, or the spreadsheet of <a href="https://www.libreoffice.org/" target="_blank">LibreOffice</a>, you will be able to perform additional calculations.</p>
<table>
<tr class=biostyle><td align=right><strong>Report file</strong>: </td><td>11cnl_sparse.html</td></tr>
<tr class=biostyle><td align=right><strong>Database name</strong>: </td><td>swissmetro</td></tr>
</table>
<h1>Estimation report</h1>
<table border="0">
<tr class=biostyle><td align=right ><strong>Number of estimated parameters</strong>: </td> <td>7</td></tr>
<tr class=biostyle><td align=right ><strong>Sample size</strong>: </td> <td>6768</td></tr>
<tr class=biostyle><td align=right ><strong>Excluded observations</strong>: </td> <td>3960</td></tr>
<tr class=biostyle><td align=right ><strong>Init log likelihood</strong>: </td> <td>-6964.663</td></tr>
<tr class=biostyle><td align=right ><strong>Final log likelihood</strong>: </td> <td>-5214.049</td></tr>
<tr class=biostyle><td align=right ><strong>Likelihood ratio test for the init. model</strong>: </td> <td>3501.228</td></tr>
<tr class=biostyle><td align=right ><strong>Rho-square for the init. model</strong>: </td> <td>0.251</td></tr>
<tr class=biostyle><td align=right ><strong>Rho-square-bar for the init. model</strong>: </td> <td>0.25</td></tr>
<tr class=biostyle><td align=right ><strong>Akaike Information Criterion</strong>: </td> <td>10442.1</td></tr>
<tr class=biostyle><td align=right ><strong>Bayesian Information Criterion</strong>: </td> <td>10489.84</td></tr>
<tr class=biostyle><td align=right ><strong>Final gradient norm</strong>: </td> <td>1.1708E-02</td></tr>
<tr class=biostyle><td align=right ><strong>Nbr of threads</strong>: </td> <td>36</td></tr>
<tr class=biostyle><td align=right ><strong>Algorithm</strong>: </td> <td>BFGS with trust region for simple bound constraints</td></tr>
<tr class=biostyle><td align=right ><strong>Proportion analytical hessian</strong>: </td> <td>0.0%</td></tr>
<tr class=biostyle><td align=right ><strong>Relative projected gradient</strong>: </td> <td>6.056752e-06</td></tr>
<tr class=biostyle><td align=right ><strong>Number of iterations</strong>: </td> <td>528</td></tr>
<tr class=biostyle><td align=right ><strong>Number of function evaluations</strong>: </td> <td>1583</td></tr>
<tr class=biostyle><td align=right ><strong>Number of gradient evaluations</strong>: </td> <td>528</td></tr>
<tr class=biostyle><td align=right ><strong>Number of hessian evaluations</strong>: </td> <td>0</td></tr>
<tr class=biostyle><td align=right ><strong>Cause of termination</strong>: </td> <td>Relative gradient = 6.1e-06 <= 6.1e-06</td></tr>
<tr class=biostyle><td align=right ><strong>Optimization time</strong>: </td> <td>0:00:11.599799</td></tr>
</table>
<h1>Estimated parameters</h1>
<table border="1">
<tr class=biostyle><th>Name</th><th>Value</th><th>Std err</th><th>t-test</th><th>p-value</th><th>Rob. Std err</th><th>Rob. t-test</th><th>Rob. p-value</th></tr>
<tr class=biostyle><td>ALPHA_EXISTING</td><td>0.495</td><td>0.0289</td><td>17.1</td><td>0</td><td>0.0348</td><td>14.2</td><td>0</td></tr>
<tr class=biostyle><td>ASC_CAR</td><td>-0.24</td><td>0.0384</td><td>-6.26</td><td>3.95e-10</td><td>0.0534</td><td>-4.5</td><td>6.82e-06</td></tr>
<tr class=biostyle><td>ASC_TRAIN</td><td>0.098</td><td>0.0564</td><td>1.74</td><td>0.082</td><td>0.07</td><td>1.4</td><td>0.161</td></tr>
<tr class=biostyle><td>B_COST</td><td>-0.819</td><td>0.0446</td><td>-18.4</td><td>0</td><td>0.059</td><td>-13.9</td><td>0</td></tr>
<tr class=biostyle><td>B_TIME</td><td>-0.777</td><td>0.0558</td><td>-13.9</td><td>0</td><td>0.102</td><td>-7.59</td><td>3.22e-14</td></tr>
<tr class=biostyle><td>MU_EXISTING</td><td>2.51</td><td>0.175</td><td>14.4</td><td>0</td><td>0.248</td><td>10.1</td><td>0</td></tr>
<tr class=biostyle><td>MU_PUBLIC</td><td>4.11</td><td>0.568</td><td>7.23</td><td>4.68e-13</td><td>0.496</td><td>8.28</td><td>2.22e-16</td></tr>
</table>
<h2>Correlation of coefficients</h2>
<table border="1">
<tr class=biostyle><th>Coefficient1</th><th>Coefficient2</th><th>Covariance</th><th>Correlation</th><th>t-test</th><th>p-value</th><th>Rob. cov.</th><th>Rob. corr.</th><th>Rob. t-test</th><th>Rob. p-value</th></tr>
<tr class=biostyle><td>ASC_CAR</td><td>ALPHA_EXISTING</td><td>0.000393</td><td>0.353</td><td>-18.8</td><td>0</td><td>0.00081</td><td>0.436</td><td>-14.9</td><td>0</td></tr>
<tr class=biostyle><td>ASC_TRAIN</td><td>ALPHA_EXISTING</td><td>-0.000987</td><td>-0.605</td><td>-5.13</td><td>2.88e-07</td><td>-0.00103</td><td>-0.422</td><td>-4.4</td><td>1.11e-05</td></tr>
<tr class=biostyle><td>ASC_TRAIN</td><td>ASC_CAR</td><td>0.00065</td><td>0.3</td><td>5.84</td><td>5.12e-09</td><td>0.00163</td><td>0.436</td><td>5.05</td><td>4.45e-07</td></tr>
<tr class=biostyle><td>B_COST</td><td>ALPHA_EXISTING</td><td>-0.000393</td><td>-0.305</td><td>-21.9</td><td>0</td><td>-0.000766</td><td>-0.374</td><td>-16.7</td><td>0</td></tr>
<tr class=biostyle><td>B_COST</td><td>ASC_CAR</td><td>-0.000103</td><td>-0.06</td><td>-9.55</td><td>0</td><td>-0.000832</td><td>-0.264</td><td>-6.47</td><td>9.83e-11</td></tr>
<tr class=biostyle><td>B_COST</td><td>ASC_TRAIN</td><td>0.00104</td><td>0.413</td><td>-16.5</td><td>0</td><td>0.000868</td><td>0.21</td><td>-11.3</td><td>0</td></tr>
<tr class=biostyle><td>B_TIME</td><td>ALPHA_EXISTING</td><td>-0.000439</td><td>-0.272</td><td>-18.3</td><td>0</td><td>-0.00137</td><td>-0.385</td><td>-10.6</td><td>0</td></tr>
<tr class=biostyle><td>B_TIME</td><td>ASC_CAR</td><td>-0.00132</td><td>-0.614</td><td>-6.31</td><td>2.71e-10</td><td>-0.00454</td><td>-0.829</td><td>-3.58</td><td>0.000339</td></tr>
<tr class=biostyle><td>B_TIME</td><td>ASC_TRAIN</td><td>-0.000275</td><td>-0.0875</td><td>-10.6</td><td>0</td><td>-0.0028</td><td>-0.39</td><td>-6.04</td><td>1.52e-09</td></tr>
<tr class=biostyle><td>B_TIME</td><td>B_COST</td><td>0.00114</td><td>0.46</td><td>0.794</td><td>0.427</td><td>0.00307</td><td>0.509</td><td>0.476</td><td>0.634</td></tr>
<tr class=biostyle><td>MU_EXISTING</td><td>ALPHA_EXISTING</td><td>-0.000948</td><td>-0.188</td><td>11.1</td><td>0</td><td>-0.000531</td><td>-0.0615</td><td>7.99</td><td>1.33e-15</td></tr>
<tr class=biostyle><td>MU_EXISTING</td><td>ASC_CAR</td><td>-0.00258</td><td>-0.385</td><td>14.3</td><td>0</td><td>-0.00352</td><td>-0.265</td><td>10.3</td><td>0</td></tr>
<tr class=biostyle><td>MU_EXISTING</td><td>ASC_TRAIN</td><td>0.00169</td><td>0.172</td><td>13.9</td><td>0</td><td>0.00491</td><td>0.282</td><td>10.1</td><td>0</td></tr>
<tr class=biostyle><td>MU_EXISTING</td><td>B_COST</td><td>0.00361</td><td>0.463</td><td>21</td><td>0</td><td>0.00566</td><td>0.387</td><td>14.4</td><td>0</td></tr>
<tr class=biostyle><td>MU_EXISTING</td><td>B_TIME</td><td>0.00653</td><td>0.671</td><td>23</td><td>0</td><td>0.00853</td><td>0.336</td><td>14</td><td>0</td></tr>
<tr class=biostyle><td>MU_PUBLIC</td><td>ALPHA_EXISTING</td><td>-0.00763</td><td>-0.464</td><td>6.21</td><td>5.31e-10</td><td>-0.0124</td><td>-0.719</td><td>6.93</td><td>4.24e-12</td></tr>
<tr class=biostyle><td>MU_PUBLIC</td><td>ASC_CAR</td><td>0.00105</td><td>0.048</td><td>7.66</td><td>1.8e-14</td><td>-0.00845</td><td>-0.319</td><td>8.44</td><td>0</td></tr>
<tr class=biostyle><td>MU_PUBLIC</td><td>ASC_TRAIN</td><td>0.023</td><td>0.719</td><td>7.58</td><td>3.38e-14</td><td>0.0157</td><td>0.451</td><td>8.56</td><td>0</td></tr>
<tr class=biostyle><td>MU_PUBLIC</td><td>B_COST</td><td>0.0094</td><td>0.371</td><td>8.91</td><td>0</td><td>0.0131</td><td>0.449</td><td>10.4</td><td>0</td></tr>
<tr class=biostyle><td>MU_PUBLIC</td><td>B_TIME</td><td>0.00679</td><td>0.214</td><td>8.74</td><td>0</td><td>0.023</td><td>0.453</td><td>10.6</td><td>0</td></tr>
<tr class=biostyle><td>MU_PUBLIC</td><td>MU_EXISTING</td><td>0.0152</td><td>0.153</td><td>2.81</td><td>0.00499</td><td>0.0293</td><td>0.237</td><td>3.2</td><td>0.0014</td></tr>
</table>
<p>Smallest eigenvalue: 3.06868</p>
<p>Largest eigenvalue: 9106.44</p>
<p>Condition number: 2967.55</p>
</html>