<html lang=en> <meta http-equiv="content-type" content="text/html;charset=utf-8" /> <body bgcolor="FFFFFF" fgcolor="000000"> <h1> <table width = "99%"> <tr> <td width="25%">Program:</td> <td width="75%" align="right">HLM 7 Hierarchical Linear and Nonlinear Modeling</td> </tr> <tr> <td width="25%">Authors:</td> <td width="75%" align="right">Stephen Raudenbush, Tony Bryk, & Richard Congdon</td> </tr> <tr> <td width="25%">Publisher:</td> <td width="75%" align="right">Scientific Software International, Inc. (c) 2010</td> </tr> <tr> <td /> <td align="right"> techsupport@ssicentral.com<br />www.ssicentral.com </td> </tr> </table> <hr /> </h1> <h2> <table width = "50%"> <tr> <td width="25%">Module:</td> <td width="75%" align="right">HLM3.EXE (7.00.21103.1002)</td> </tr> <tr> <td width="25%">Date:</td> <td width="75%" align="right">30 October 2017, Monday</td> </tr> <tr> <td width="25%">Time:</td> <td width="75%" align="right">15: 4:44</td> </tr> </table> <hr /> </h2> <br /> <br> <h2>Specifications for this HLM3 run</h2> Problem Title: no title<br> <br> The data source for this run = D:\MLMbook\Book3\DataOwnUse\2 Basic Model\nurses.mdm<br> The command file for this run = D:\MLMbook\Book3\DataOwnUse\2 Basic Model\nurses.hlm<br> Output file name = D:\MLMbook\Book3\DataOwnUse\2 Basic Model\hlm3.html<br> The maximum number of level-1 units = 1000<br> The maximum number of level-2 units = 100<br> The maximum number of level-3 units = 25<br> The maximum number of iterations = 100 <br> Method of estimation: full maximum likelihood<br> The outcome variable is STRESS <h3>Summary of the model specified</h3> <h4>Level-1 Model</h4> STRESS<sub><small><i>ijk</i></small></sub> = <i>π</i><sub><small><i>0jk</i></small></sub> + <i>π</i><sub><small><i>1jk</i></small></sub>*(<i>AGE</i><sub><small><i>ijk</i></small></sub>) + <i>π</i><sub><small><i>2jk</i></small></sub>*(<i>GENDER</i><sub><small><i>ijk</i></small></sub>) + <i>π</i><sub><small><i>3jk</i></small></sub>*(<i>EXPERIEN</i><sub><small><i>ijk</i></small></sub>) + <i>e</i><sub><small><i>ijk</i></small></sub><br> <h4>Level-2 Model</h4> <i>π</i><sub><small><i>0jk</i></sub></small> = <i>β</i><sub><small><i>00k</i></sub></small> + <i>β</i><sub><small><i>01k</i></small></sub>*(<i>WARDTYPE</i><sub><small><i>jk</i></small></sub>) + <i>β</i><sub><small><i>02k</i></small></sub>*(<i>EXPCON</i><sub><small><i>jk</i></small></sub>) + <i>r</i><sub><small><i>0jk</i></small></sub><br> <i>π</i><sub><small><i>1jk</i></sub></small> = <i>β</i><sub><small><i>10k</i></sub></small> <br> <i>π</i><sub><small><i>2jk</i></sub></small> = <i>β</i><sub><small><i>20k</i></sub></small> <br> <i>π</i><sub><small><i>3jk</i></sub></small> = <i>β</i><sub><small><i>30k</i></sub></small> <br> <h4>Level-3 Model</h4> <i>β</i><sub><small><i>00k</i></small></sub> = <i>γ</i><sub><small><i>000</i></small></sub> + <i>γ</i><sub><small><i>001</i></small></sub>(<i>HOSPSIZE</i><sub><small><i>k</i></small></sub>) + <i>u</i><sub><small><i>00k</i></small></sub><br> <i>β</i><sub><small><i>01k</i></small></sub> = <i>γ</i><sub><small><i>010</i></small></sub> <br> <i>β</i><sub><small><i>02k</i></small></sub> = <i>γ</i><sub><small><i>020</i></small></sub> + <i>γ</i><sub><small><i>021</i></small></sub>(<i>HOSPSIZE</i><sub><small><i>k</i></small></sub>) + <i>u</i><sub><small><i>02k</i></small></sub><br> <i>β</i><sub><small><i>10k</i></small></sub> = <i>γ</i><sub><small><i>100</i></small></sub> <br> <i>β</i><sub><small><i>20k</i></small></sub> = <i>γ</i><sub><small><i>200</i></small></sub> <br> <i>β</i><sub><small><i>30k</i></small></sub> = <i>γ</i><sub><small><i>300</i></small></sub> <br> <br> EXPCON has been centered around the grand mean.<br> <br> HOSPSIZE has been centered around the grand mean.<br> <h4>Mixed Model</h4> <i>STRESS</i><sub><small><i>ijk</i></small></sub> = <i>γ</i><sub><small><i>000</i></small></sub> + <i>γ</i><sub><small><i>001</i></small></sub><i>*</i>HOSPSIZE<sub><small><i>k</i></small></sub> + <i>γ</i><sub><small><i>010</i></small></sub><i>*</i>WARDTYPE<sub><small><i>jk</i></small></sub> + <i>γ</i><sub><small><i>020</i></small></sub><i>*</i>EXPCON<sub><small><i>jk</i></small></sub><br> + <i>γ</i><sub><small><i>021</i></small></sub><i>*</i>EXPCON<sub><small><i>jk</i></small></sub><i>*</i>HOSPSIZE<sub><small><i>k</i></small></sub> + <i>γ</i><sub><small><i>100</i></small></sub>*<i>AGE</i><sub><small><i>ijk</i></small></sub> + <i>γ</i><sub><small><i>200</i></small></sub>*<i>GENDER</i><sub><small><i>ijk</i></small></sub> + <i>γ</i><sub><small><i>300</i></small></sub>*<i>EXPERIEN</i><sub><small><i>ijk</i></small></sub><br> + <i>r</i><sub><small><i>0jk</i></small></sub> + <i>u</i><sub><small><i>00k</i></small></sub> + <i>u</i><sub><small><i>02k</i></small></sub> *EXPCON<sub><small><i>jk</i></small></sub> + <i>e</i><sub><small><i>ijk</i></small></sub><br> <br> For starting values, data from 1000 level-1 and 100 level-2 records were used<br> <h2>Final Results - Iteration 8</h2><b>Iterations stopped due to small change in likelihood function</b><br><br> σ<sup><small>2</small></sup> = 0.21662<br> Standard error of σ<sup><small>2</small></sup> = 0.01021<br> <br> τ<sub><small>π</small></sub><br> <table border=0 cellpadding=0><tbody><tr><td>INTRCPT1,<i>π</i><sub><small><i>0</i></small></sub></td><td align=right> 0.10872</td></tr> </tbody></table> Standard error of τ<sub><small>π</small></sub><br> <table border=0 cellpadding=0><tbody><tr><td>INTRCPT1,<i>π</i><sub><small><i>0</i></small></sub></td><td align=right> 0.02614</td></tr> </tbody></table> <br> <table border=1 cellpadding=3 style='border-collapse:collapse;border:none'> <tr> <td align=left style='border:none;border-top:solid windowtext 1.5pt;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'>Random level-1 coefficient</td> <td style='border:none;border-top:solid windowtext 1.5pt;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'> Reliability estimate</td> <tbody> <tr><td style='border:none;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'> INTRCPT1,<i>π</i><sub><small><i>0</i></sub></small><td align=center style='border:none;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'>0.832</td></tr> </tbody></table> <br> τ<sub><small>β</small></sub><br> <table border=0 cellpadding=0><tbody><tr><td>INTRCPT1 </td><td>INTRCPT1 </td></tr><tr> <td>INTRCPT2,<i>β</i><sub><small><i>00</i></small></sub></td><td> EXPCON,<i>β</i><sub><small><i>02</i></small></sub></td></tr> <td align=right> 0.15162</td><td align=right> 0.05326</td></tr><td align=right> 0.05326</td><td align=right> 0.17841</td></tr></tbody></table> Standard errors of τ<sub><small>β</small></sub><br> <table border=0 cellpadding=0><tbody><tr><td>INTRCPT1 </td><td>INTRCPT1 </td></tr><tr> <td>INTRCPT2,<i>β</i><sub><small><i>00</i></small></sub></td><td> EXPCON,<i>β</i><sub><small><i>02</i></small></sub></td></tr> <td align=right> 0.05253</td><td align=right> 0.04890</td></tr><td align=right> 0.04890</td><td align=right> 0.09124</td></tr></tbody></table> τ<sub><small>β</small></sub> (as correlations)<table border=0 cellpadding=0><tbody><td>INTRCPT1/INTRCPT2,<i>β</i><sub><small><i>00</i></small></sub></td><td> 1.000</td><td> 0.324</td></tr><td>INTRCPT1/ EXPCON,<i>β</i><sub><small><i>02</i></small></sub></td><td> 0.324</td><td> 1.000</td></tr></tbody></table> <br> <table border=1 cellpadding=3 style='border-collapse:collapse;border:none'> <tr> <td align=left style='border:none;border-top:solid windowtext 1.5pt;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'>Random level-2 coefficient</td> <td style='border:none;border-top:solid windowtext 1.5pt;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'> Reliability estimate</td> <tbody> <tr><td style='border:none;padding:0in 5.4pt 0in 5.4pt'> INTRCPT1/INTRCPT2,<i>β</i><sub><small><i>00</i></sub></small><td align=center style='border:none;padding:0in 5.4pt 0in 5.4pt'>0.823</td></tr> <tr><td style='border:none;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'> INTRCPT1/ EXPCON,<i>β</i><sub><small><i>02</i></sub></small><td align=center style='border:none;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'>0.577</td></tr> </tbody></table> The value of the log-likelihood function at iteration 8 = -7.753804E+002<br> <h4> Final estimation of fixed effects:<br> </h4><table border=1 cellpadding=3 style='border-collapse:collapse;border:none'> <tr> <td align=left style='border:none;border-top:solid windowtext 1.5pt;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'>Fixed Effect</td> <td align=right style='border:none;border-top:solid windowtext 1.5pt;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'> Coefficient</td> <td align=right style='border:none;border-top:solid windowtext 1.5pt;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'> Standard<br> error</td> <td align=right style='border:none;border-top:solid windowtext 1.5pt;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'> <i>t</i>-ratio</td> <td align=right style='border:none;border-top:solid windowtext 1.5pt;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'> Approx.<br><i>d.f.</i></td> <td align=right style='border:none;border-top:solid windowtext 1.5pt;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'> <i>p</i>-value</td> </tr> <tbody> <tr><td align=left colspan=6 style='border:none;padding:0in 5.4pt 0in 5.4pt'> For INTRCPT1, <i>π</i><sub><small><i>0</i></small></sub></td></tr> <tr><td align=left colspan=6 style='border:none;padding:0in 5.4pt 0in 5.4pt'> For INTRCPT2, <i>β</i><sub><small><i>00</i></small></sub></td></tr> <tr><td style='border:none;padding:0in 5.4pt 0in 5.4pt'> INTRCPT3, <i>γ</i><sub><small><i>000</i></small></sub> </td><td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'> 5.403553</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'> 0.110969</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'> 48.694</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'>23</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'><0.001</td> </tr><tr><td style='border:none;padding:0in 5.4pt 0in 5.4pt'> HOSPSIZE, <i>γ</i><sub><small><i>001</i></small></sub> </td><td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'> 0.458217</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'> 0.123943</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'> 3.697</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'>23</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'>0.001</td> </tr><tr><td align=left colspan=6 style='border:none;padding:0in 5.4pt 0in 5.4pt'> For WARDTYPE, <i>β</i><sub><small><i>01</i></small></sub></td></tr> <tr><td style='border:none;padding:0in 5.4pt 0in 5.4pt'> INTRCPT3, <i>γ</i><sub><small><i>010</i></small></sub> </td><td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'> 0.053134</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'> 0.072294</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'> 0.735</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'>49</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'>0.466</td> </tr><tr><td align=left colspan=6 style='border:none;padding:0in 5.4pt 0in 5.4pt'> For EXPCON, <i>β</i><sub><small><i>02</i></small></sub></td></tr> <tr><td style='border:none;padding:0in 5.4pt 0in 5.4pt'> INTRCPT3, <i>γ</i><sub><small><i>020</i></small></sub> </td><td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'> -0.698783</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'> 0.111195</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'> -6.284</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'>23</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'><0.001</td> </tr><tr><td style='border:none;padding:0in 5.4pt 0in 5.4pt'> HOSPSIZE, <i>γ</i><sub><small><i>021</i></small></sub> </td><td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'> 0.998447</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'> 0.160567</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'> 6.218</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'>23</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'><0.001</td> </tr><tr><td align=left colspan=6 style='border:none;padding:0in 5.4pt 0in 5.4pt'> For AGE slope, <i>π</i><sub><small><i>1</i></small></sub></td></tr> <tr><td align=left colspan=6 style='border:none;padding:0in 5.4pt 0in 5.4pt'> For INTRCPT2, <i>β</i><sub><small><i>10</i></small></sub></td></tr> <tr><td style='border:none;padding:0in 5.4pt 0in 5.4pt'> INTRCPT3, <i>γ</i><sub><small><i>100</i></small></sub> </td><td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'> 0.022297</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'> 0.002192</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'> 10.172</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'>847</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'><0.001</td> </tr><tr><td align=left colspan=6 style='border:none;padding:0in 5.4pt 0in 5.4pt'> For GENDER slope, <i>π</i><sub><small><i>2</i></small></sub></td></tr> <tr><td align=left colspan=6 style='border:none;padding:0in 5.4pt 0in 5.4pt'> For INTRCPT2, <i>β</i><sub><small><i>20</i></small></sub></td></tr> <tr><td style='border:none;padding:0in 5.4pt 0in 5.4pt'> INTRCPT3, <i>γ</i><sub><small><i>200</i></small></sub> </td><td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'> -0.454752</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'> 0.034833</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'> -13.055</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'>847</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'><0.001</td> </tr><tr><td align=left colspan=6 style='border:none;padding:0in 5.4pt 0in 5.4pt'> For EXPERIEN slope, <i>π</i><sub><small><i>3</i></small></sub></td></tr> <tr><td align=left colspan=6 style='border:none;padding:0in 5.4pt 0in 5.4pt'> For INTRCPT2, <i>β</i><sub><small><i>30</i></small></sub></td></tr> <tr><td style='border:none;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'> INTRCPT3, <i>γ</i><sub><small><i>300</i></small></sub> </td><td align=right valign=bottom style='border:none;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'> -0.061808</td> <td align=right valign=bottom style='border:none;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'> 0.004452</td> <td align=right valign=bottom style='border:none;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'> -13.882</td> <td align=right valign=bottom style='border:none;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'>847</td> <td align=right valign=bottom style='border:none;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'><0.001</td> </tr></tbody></table> <br> <h4> Final estimation of fixed effects (with robust standard errors) </h4><table border=1 cellpadding=3 style='border-collapse:collapse;border:none'> <tr> <td align=left style='border:none;border-top:solid windowtext 1.5pt;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'>Fixed Effect</td> <td align=right style='border:none;border-top:solid windowtext 1.5pt;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'> Coefficient</td> <td align=right style='border:none;border-top:solid windowtext 1.5pt;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'> Standard<br> error</td> <td align=right style='border:none;border-top:solid windowtext 1.5pt;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'> <i>t</i>-ratio</td> <td align=right style='border:none;border-top:solid windowtext 1.5pt;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'> Approx.<br><i>d.f.</i></td> <td align=right style='border:none;border-top:solid windowtext 1.5pt;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'> <i>p</i>-value</td> </tr> <tbody> <tr><td align=left colspan=6 style='border:none;padding:0in 5.4pt 0in 5.4pt'> For INTRCPT1, <i>π</i><sub><small><i>0</i></small></sub></td></tr> <tr><td align=left colspan=6 style='border:none;padding:0in 5.4pt 0in 5.4pt'> For INTRCPT2, <i>β</i><sub><small><i>00</i></small></sub></td></tr> <tr><td style='border:none;padding:0in 5.4pt 0in 5.4pt'> INTRCPT3, <i>γ</i><sub><small><i>000</i></small></sub> </td><td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'> 5.403553</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'> 0.101038</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'> 53.480</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'>23</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'><0.001</td> </tr><tr><td style='border:none;padding:0in 5.4pt 0in 5.4pt'> HOSPSIZE, <i>γ</i><sub><small><i>001</i></small></sub> </td><td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'> 0.458217</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'> 0.123312</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'> 3.716</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'>23</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'>0.001</td> </tr><tr><td align=left colspan=6 style='border:none;padding:0in 5.4pt 0in 5.4pt'> For WARDTYPE, <i>β</i><sub><small><i>01</i></small></sub></td></tr> <tr><td style='border:none;padding:0in 5.4pt 0in 5.4pt'> INTRCPT3, <i>γ</i><sub><small><i>010</i></small></sub> </td><td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'> 0.053134</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'> 0.076828</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'> 0.692</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'>49</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'>0.492</td> </tr><tr><td align=left colspan=6 style='border:none;padding:0in 5.4pt 0in 5.4pt'> For EXPCON, <i>β</i><sub><small><i>02</i></small></sub></td></tr> <tr><td style='border:none;padding:0in 5.4pt 0in 5.4pt'> INTRCPT3, <i>γ</i><sub><small><i>020</i></small></sub> </td><td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'> -0.698783</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'> 0.111071</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'> -6.291</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'>23</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'><0.001</td> </tr><tr><td style='border:none;padding:0in 5.4pt 0in 5.4pt'> HOSPSIZE, <i>γ</i><sub><small><i>021</i></small></sub> </td><td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'> 0.998447</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'> 0.191218</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'> 5.222</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'>23</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'><0.001</td> </tr><tr><td align=left colspan=6 style='border:none;padding:0in 5.4pt 0in 5.4pt'> For AGE slope, <i>π</i><sub><small><i>1</i></small></sub></td></tr> <tr><td align=left colspan=6 style='border:none;padding:0in 5.4pt 0in 5.4pt'> For INTRCPT2, <i>β</i><sub><small><i>10</i></small></sub></td></tr> <tr><td style='border:none;padding:0in 5.4pt 0in 5.4pt'> INTRCPT3, <i>γ</i><sub><small><i>100</i></small></sub> </td><td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'> 0.022297</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'> 0.001867</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'> 11.944</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'>847</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'><0.001</td> </tr><tr><td align=left colspan=6 style='border:none;padding:0in 5.4pt 0in 5.4pt'> For GENDER slope, <i>π</i><sub><small><i>2</i></small></sub></td></tr> <tr><td align=left colspan=6 style='border:none;padding:0in 5.4pt 0in 5.4pt'> For INTRCPT2, <i>β</i><sub><small><i>20</i></small></sub></td></tr> <tr><td style='border:none;padding:0in 5.4pt 0in 5.4pt'> INTRCPT3, <i>γ</i><sub><small><i>200</i></small></sub> </td><td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'> -0.454752</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'> 0.031594</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'> -14.394</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'>847</td> <td align=right valign=bottom style='border:none;padding:0in 5.4pt 0in 5.4pt'><0.001</td> </tr><tr><td align=left colspan=6 style='border:none;padding:0in 5.4pt 0in 5.4pt'> For EXPERIEN slope, <i>π</i><sub><small><i>3</i></small></sub></td></tr> <tr><td align=left colspan=6 style='border:none;padding:0in 5.4pt 0in 5.4pt'> For INTRCPT2, <i>β</i><sub><small><i>30</i></small></sub></td></tr> <tr><td style='border:none;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'> INTRCPT3, <i>γ</i><sub><small><i>300</i></small></sub> </td><td align=right valign=bottom style='border:none;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'> -0.061808</td> <td align=right valign=bottom style='border:none;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'> 0.004040</td> <td align=right valign=bottom style='border:none;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'> -15.298</td> <td align=right valign=bottom style='border:none;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'>847</td> <td align=right valign=bottom style='border:none;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'><0.001</td> </tr></tbody></table> <br> <h4>Final estimation of level-1 and level-2 variance components</h4> <table border=1 cellpadding=3 style='border-collapse:collapse;border:none'> <tr> <td align=left style='border:none;border-top:solid windowtext 1.5pt;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'>Random Effect</td> <td align=right style='border:none;border-top:solid windowtext 1.5pt;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'>Standard<br> Deviation</td> <td align=right style='border:none;border-top:solid windowtext 1.5pt;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'>Variance<br> Component</td> <td align=right style='border:none;border-top:solid windowtext 1.5pt;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'> <i>d.f.</i></td> <td align=center style='border:none;border-top:solid windowtext 1.5pt;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'>χ<sup><small>2</small></sup></td> <td align=right style='border:none;border-top:solid windowtext 1.5pt;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'><i>p</i>-value</td> </tr> <tbody> <tr><td style='border:none;padding:0in 5.4pt 0in 5.4pt'>INTRCPT1,<i>r</i><sub><small><i>0</i></small></sub></td><td align=right style='border:none;padding:0in 5.4pt 0in 5.4pt'> 0.32973</td><td align=right style='border:none;padding:0in 5.4pt 0in 5.4pt'> 0.10872</td><td align=right style='border:none;padding:0in 5.4pt 0in 5.4pt'>49</td><td align=right style='border:none;padding:0in 5.4pt 0in 5.4pt'> 303.43878</td><td align=right style='border:none;padding:0in 5.4pt 0in 5.4pt'><0.001</td></tr> <tr><td align=right style='border:none;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'>level-1, <i>e</i></td><td align=right style='border:none;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'> 0.46542</td><td align=right style='border:none;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'> 0.21662</td><td style='border:none;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'> </td><td style='border:none;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'> </td><td style='border:none;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'> </td></tr> </tbody></table> <h4>Final estimation of level-3 variance components</h4> <table border=1 cellpadding=3 style='border-collapse:collapse;border:none'> <tr> <td align=left style='border:none;border-top:solid windowtext 1.5pt;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'>Random Effect</td> <td align=right style='border:none;border-top:solid windowtext 1.5pt;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'>Standard<br> Deviation</td> <td align=right style='border:none;border-top:solid windowtext 1.5pt;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'>Variance<br> Component</td> <td align=right style='border:none;border-top:solid windowtext 1.5pt;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'> <i>d.f.</i></td> <td align=center style='border:none;border-top:solid windowtext 1.5pt;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'>χ<sup><small>2</small></sup></td> <td align=right style='border:none;border-top:solid windowtext 1.5pt;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'><i>p</i>-value</td> </tr> <tbody> <tr><td style='border:none;padding:0in 5.4pt 0in 5.4pt'>INTRCPT1/INTRCPT2,<i>u</i><sub><small><i>00</i></small></sub></td><td align=right style='border:none;padding:0in 5.4pt 0in 5.4pt'> 0.38938</td><td align=right style='border:none;padding:0in 5.4pt 0in 5.4pt'> 0.15162</td><td align=right style='border:none;padding:0in 5.4pt 0in 5.4pt'>23</td><td align=right style='border:none;padding:0in 5.4pt 0in 5.4pt'> 140.78872</td><td align=right style='border:none;padding:0in 5.4pt 0in 5.4pt'><0.001</td></tr> <tr><td style='border:none;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'>INTRCPT1/ EXPCON,<i>u</i><sub><small><i>02</i></small></sub></td><td align=right style='border:none;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'> 0.42239</td><td align=right style='border:none;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'> 0.17841</td><td align=right style='border:none;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'>23</td><td align=right style='border:none;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'> 59.09775</td><td align=right style='border:none;border-bottom:solid windowtext 1.5pt;padding:0in 5.4pt 0in 5.4pt'><0.001</td></tr> </tbody></table> <h4>Statistics for the current model</h4> Deviance = 1550.760833<br> Number of estimated parameters = 13<br> </body></html>