63 lines
13 KiB
HTML
63 lines
13 KiB
HTML
<!DOCTYPE html>
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<html lang="en">
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<head>
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<meta charset="utf-8"/>
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<style>body{background-color:white;}</style>
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</head>
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<body>
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<div>
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<h1>Regression Analysis: Age and Sex Effects on EOHI-DGEN and EHI Domain</h1>
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<h2>EOHI-DGEN Models</h2>
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<h3>1. Age Model (age_DGEN)</h3>
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<div style="margin-bottom: 30px;">
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<h4>Model Results, AIC, and VIF</h4>
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<table style="text-align:center"><caption><strong>Age Model: EOHI-DGEN</strong></caption> <tr><td colspan="2" style="border-bottom: 1px solid black"></td></tr><tr><td style="text-align:left"></td><td><em>Dependent variable:</em></td></tr> <tr><td></td><td colspan="1" style="border-bottom: 1px solid black"></td></tr> <tr><td style="text-align:left"></td><td>EOHI-DGEN Mean</td></tr> <tr><td colspan="2" style="border-bottom: 1px solid black"></td></tr><tr><td style="text-align:left">Age (centered)</td><td>-0.015</td></tr> <tr><td style="text-align:left"></td><td>(0.003)</td></tr> <tr><td style="text-align:left"></td><td>p = 0.00002<sup>***</sup></td></tr> <tr><td style="text-align:left"></td><td></td></tr> <tr><td style="text-align:left">Constant</td><td>0.417</td></tr> <tr><td style="text-align:left"></td><td>(0.053)</td></tr> <tr><td style="text-align:left"></td><td>p = 0.000<sup>***</sup></td></tr> <tr><td style="text-align:left"></td><td></td></tr> <tr><td colspan="2" style="border-bottom: 1px solid black"></td></tr><tr><td style="text-align:left">AIC</td><td>4174.08</td></tr> <tr><td style="text-align:left">Max VIF</td><td>N/A</td></tr> <tr><td style="text-align:left">Observations</td><td>1,061</td></tr> <tr><td style="text-align:left">R<sup>2</sup></td><td>0.018</td></tr> <tr><td style="text-align:left">Adjusted R<sup>2</sup></td><td>0.017</td></tr> <tr><td style="text-align:left">Residual Std. Error</td><td>1.727 (df = 1059)</td></tr> <tr><td style="text-align:left">F Statistic</td><td>19.407<sup>***</sup> (df = 1; 1059)</td></tr> <tr><td colspan="2" style="border-bottom: 1px solid black"></td></tr><tr><td style="text-align:left"><em>Note:</em></td><td style="text-align:right"><sup>*</sup>p<0.1; <sup>**</sup>p<0.05; <sup>***</sup>p<0.01</td></tr> </table>
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<h4>Assumption Diagnostic Plots</h4>
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<img src="age_DGEN_assumptions.png" style="width: 100%; max-width: 800px;"/>
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<h4>Model Visualization</h4>
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<img src="age_DGEN_plot.png" style="width: 100%; max-width: 800px;"/>
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</div>
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<h3>2. Sex Model (sex_DGEN)</h3>
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<div style="margin-bottom: 30px;">
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<h4>Model Results, AIC, and VIF</h4>
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<table style="text-align:center"><caption><strong>Sex Model: EOHI-DGEN</strong></caption> <tr><td colspan="2" style="border-bottom: 1px solid black"></td></tr><tr><td style="text-align:left"></td><td><em>Dependent variable:</em></td></tr> <tr><td></td><td colspan="1" style="border-bottom: 1px solid black"></td></tr> <tr><td style="text-align:left"></td><td>EOHI-DGEN Mean</td></tr> <tr><td colspan="2" style="border-bottom: 1px solid black"></td></tr><tr><td style="text-align:left">Sex (dummy)</td><td>0.099</td></tr> <tr><td style="text-align:left"></td><td>(0.107)</td></tr> <tr><td style="text-align:left"></td><td>p = 0.355</td></tr> <tr><td style="text-align:left"></td><td></td></tr> <tr><td style="text-align:left">Constant</td><td>0.367</td></tr> <tr><td style="text-align:left"></td><td>(0.076)</td></tr> <tr><td style="text-align:left"></td><td>p = 0.00001<sup>***</sup></td></tr> <tr><td style="text-align:left"></td><td></td></tr> <tr><td colspan="2" style="border-bottom: 1px solid black"></td></tr><tr><td style="text-align:left">AIC</td><td>4192.48</td></tr> <tr><td style="text-align:left">Max VIF</td><td>N/A</td></tr> <tr><td style="text-align:left">Observations</td><td>1,061</td></tr> <tr><td style="text-align:left">R<sup>2</sup></td><td>0.001</td></tr> <tr><td style="text-align:left">Adjusted R<sup>2</sup></td><td>-0.0001</td></tr> <tr><td style="text-align:left">Residual Std. Error</td><td>1.742 (df = 1059)</td></tr> <tr><td style="text-align:left">F Statistic</td><td>0.859 (df = 1; 1059)</td></tr> <tr><td colspan="2" style="border-bottom: 1px solid black"></td></tr><tr><td style="text-align:left"><em>Note:</em></td><td style="text-align:right"><sup>*</sup>p<0.1; <sup>**</sup>p<0.05; <sup>***</sup>p<0.01</td></tr> </table>
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<h4>Assumption Diagnostic Plots</h4>
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<img src="sex_DGEN_assumptions.png" style="width: 100%; max-width: 800px;"/>
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</div>
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<h3>3. Interaction Model (interaction_DGEN)</h3>
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<div style="margin-bottom: 30px;">
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<h4>Model Results, AIC, and VIF</h4>
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<table style="text-align:center"><caption><strong>Interaction Model: EOHI-DGEN</strong></caption> <tr><td colspan="2" style="border-bottom: 1px solid black"></td></tr><tr><td style="text-align:left"></td><td><em>Dependent variable:</em></td></tr> <tr><td></td><td colspan="1" style="border-bottom: 1px solid black"></td></tr> <tr><td style="text-align:left"></td><td>EOHI-DGEN Mean</td></tr> <tr><td colspan="2" style="border-bottom: 1px solid black"></td></tr><tr><td style="text-align:left">Age (centered)</td><td>-0.018</td></tr> <tr><td style="text-align:left"></td><td>(0.005)</td></tr> <tr><td style="text-align:left"></td><td>p = 0.0004<sup>***</sup></td></tr> <tr><td style="text-align:left"></td><td></td></tr> <tr><td style="text-align:left">Sex (dummy)</td><td>0.103</td></tr> <tr><td style="text-align:left"></td><td>(0.106)</td></tr> <tr><td style="text-align:left"></td><td>p = 0.331</td></tr> <tr><td style="text-align:left"></td><td></td></tr> <tr><td style="text-align:left">Age x Sex</td><td>0.006</td></tr> <tr><td style="text-align:left"></td><td>(0.007)</td></tr> <tr><td style="text-align:left"></td><td>p = 0.402</td></tr> <tr><td style="text-align:left"></td><td></td></tr> <tr><td style="text-align:left">Constant</td><td>0.364</td></tr> <tr><td style="text-align:left"></td><td>(0.075)</td></tr> <tr><td style="text-align:left"></td><td>p = 0.00001<sup>***</sup></td></tr> <tr><td style="text-align:left"></td><td></td></tr> <tr><td colspan="2" style="border-bottom: 1px solid black"></td></tr><tr><td style="text-align:left">AIC</td><td>4176.42</td></tr> <tr><td style="text-align:left">Max VIF</td><td>2.22</td></tr> <tr><td style="text-align:left">Observations</td><td>1,061</td></tr> <tr><td style="text-align:left">R<sup>2</sup></td><td>0.020</td></tr> <tr><td style="text-align:left">Adjusted R<sup>2</sup></td><td>0.017</td></tr> <tr><td style="text-align:left">Residual Std. Error</td><td>1.727 (df = 1057)</td></tr> <tr><td style="text-align:left">F Statistic</td><td>7.017<sup>***</sup> (df = 3; 1057)</td></tr> <tr><td colspan="2" style="border-bottom: 1px solid black"></td></tr><tr><td style="text-align:left"><em>Note:</em></td><td style="text-align:right"><sup>*</sup>p<0.1; <sup>**</sup>p<0.05; <sup>***</sup>p<0.01</td></tr> </table>
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<h4>Assumption Diagnostic Plots</h4>
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<img src="interaction_DGEN_assumptions.png" style="width: 100%; max-width: 800px;"/>
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</div>
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<h2>EHI Domain Models</h2>
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<h3>1. Age Model (age_domain)</h3>
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<div style="margin-bottom: 30px;">
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<h4>Model Results, AIC, and VIF</h4>
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<table style="text-align:center"><caption><strong>Age Model: EHI Domain</strong></caption> <tr><td colspan="2" style="border-bottom: 1px solid black"></td></tr><tr><td style="text-align:left"></td><td><em>Dependent variable:</em></td></tr> <tr><td></td><td colspan="1" style="border-bottom: 1px solid black"></td></tr> <tr><td style="text-align:left"></td><td>EHI Domain Mean</td></tr> <tr><td colspan="2" style="border-bottom: 1px solid black"></td></tr><tr><td style="text-align:left">Age (centered)</td><td>-0.007</td></tr> <tr><td style="text-align:left"></td><td>(0.001)</td></tr> <tr><td style="text-align:left"></td><td>p = 0.000<sup>***</sup></td></tr> <tr><td style="text-align:left"></td><td></td></tr> <tr><td style="text-align:left">Constant</td><td>0.137</td></tr> <tr><td style="text-align:left"></td><td>(0.015)</td></tr> <tr><td style="text-align:left"></td><td>p = 0.000<sup>***</sup></td></tr> <tr><td style="text-align:left"></td><td></td></tr> <tr><td colspan="2" style="border-bottom: 1px solid black"></td></tr><tr><td style="text-align:left">AIC</td><td>1515.75</td></tr> <tr><td style="text-align:left">Max VIF</td><td>N/A</td></tr> <tr><td style="text-align:left">Observations</td><td>1,061</td></tr> <tr><td style="text-align:left">R<sup>2</sup></td><td>0.044</td></tr> <tr><td style="text-align:left">Adjusted R<sup>2</sup></td><td>0.043</td></tr> <tr><td style="text-align:left">Residual Std. Error</td><td>0.493 (df = 1059)</td></tr> <tr><td style="text-align:left">F Statistic</td><td>49.178<sup>***</sup> (df = 1; 1059)</td></tr> <tr><td colspan="2" style="border-bottom: 1px solid black"></td></tr><tr><td style="text-align:left"><em>Note:</em></td><td style="text-align:right"><sup>*</sup>p<0.1; <sup>**</sup>p<0.05; <sup>***</sup>p<0.01</td></tr> </table>
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<h4>Assumption Diagnostic Plots</h4>
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<img src="age_domain_assumptions.png" style="width: 100%; max-width: 800px;"/>
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<h4>Model Visualization</h4>
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<img src="age_domain_plot.png" style="width: 100%; max-width: 800px;"/>
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</div>
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<h3>2. Sex Model (sex_domain)</h3>
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<div style="margin-bottom: 30px;">
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<h4>Model Results, AIC, and VIF</h4>
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<table style="text-align:center"><caption><strong>Sex Model: EHI Domain</strong></caption> <tr><td colspan="2" style="border-bottom: 1px solid black"></td></tr><tr><td style="text-align:left"></td><td><em>Dependent variable:</em></td></tr> <tr><td></td><td colspan="1" style="border-bottom: 1px solid black"></td></tr> <tr><td style="text-align:left"></td><td>EHI Domain Mean</td></tr> <tr><td colspan="2" style="border-bottom: 1px solid black"></td></tr><tr><td style="text-align:left">Sex (dummy)</td><td>0.031</td></tr> <tr><td style="text-align:left"></td><td>(0.031)</td></tr> <tr><td style="text-align:left"></td><td>p = 0.311</td></tr> <tr><td style="text-align:left"></td><td></td></tr> <tr><td style="text-align:left">Constant</td><td>0.121</td></tr> <tr><td style="text-align:left"></td><td>(0.022)</td></tr> <tr><td style="text-align:left"></td><td>p = 0.00000<sup>***</sup></td></tr> <tr><td style="text-align:left"></td><td></td></tr> <tr><td colspan="2" style="border-bottom: 1px solid black"></td></tr><tr><td style="text-align:left">AIC</td><td>1562.88</td></tr> <tr><td style="text-align:left">Max VIF</td><td>N/A</td></tr> <tr><td style="text-align:left">Observations</td><td>1,061</td></tr> <tr><td style="text-align:left">R<sup>2</sup></td><td>0.001</td></tr> <tr><td style="text-align:left">Adjusted R<sup>2</sup></td><td>0.00003</td></tr> <tr><td style="text-align:left">Residual Std. Error</td><td>0.504 (df = 1059)</td></tr> <tr><td style="text-align:left">F Statistic</td><td>1.029 (df = 1; 1059)</td></tr> <tr><td colspan="2" style="border-bottom: 1px solid black"></td></tr><tr><td style="text-align:left"><em>Note:</em></td><td style="text-align:right"><sup>*</sup>p<0.1; <sup>**</sup>p<0.05; <sup>***</sup>p<0.01</td></tr> </table>
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<h4>Assumption Diagnostic Plots</h4>
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<img src="sex_domain_assumptions.png" style="width: 100%; max-width: 800px;"/>
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</div>
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<h3>3. Interaction Model (interaction_domain)</h3>
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<div style="margin-bottom: 30px;">
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<h4>Model Results, AIC, and VIF</h4>
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<table style="text-align:center"><caption><strong>Interaction Model: EHI Domain</strong></caption> <tr><td colspan="2" style="border-bottom: 1px solid black"></td></tr><tr><td style="text-align:left"></td><td><em>Dependent variable:</em></td></tr> <tr><td></td><td colspan="1" style="border-bottom: 1px solid black"></td></tr> <tr><td style="text-align:left"></td><td>EHI Domain Mean</td></tr> <tr><td colspan="2" style="border-bottom: 1px solid black"></td></tr><tr><td style="text-align:left">Age (centered)</td><td>-0.006</td></tr> <tr><td style="text-align:left"></td><td>(0.001)</td></tr> <tr><td style="text-align:left"></td><td>p = 0.00001<sup>***</sup></td></tr> <tr><td style="text-align:left"></td><td></td></tr> <tr><td style="text-align:left">Sex (dummy)</td><td>0.033</td></tr> <tr><td style="text-align:left"></td><td>(0.030)</td></tr> <tr><td style="text-align:left"></td><td>p = 0.274</td></tr> <tr><td style="text-align:left"></td><td></td></tr> <tr><td style="text-align:left">Age x Sex</td><td>-0.0003</td></tr> <tr><td style="text-align:left"></td><td>(0.002)</td></tr> <tr><td style="text-align:left"></td><td>p = 0.883</td></tr> <tr><td style="text-align:left"></td><td></td></tr> <tr><td style="text-align:left">Constant</td><td>0.120</td></tr> <tr><td style="text-align:left"></td><td>(0.021)</td></tr> <tr><td style="text-align:left"></td><td>p = 0.00000<sup>***</sup></td></tr> <tr><td style="text-align:left"></td><td></td></tr> <tr><td colspan="2" style="border-bottom: 1px solid black"></td></tr><tr><td style="text-align:left">AIC</td><td>1518.52</td></tr> <tr><td style="text-align:left">Max VIF</td><td>2.22</td></tr> <tr><td style="text-align:left">Observations</td><td>1,061</td></tr> <tr><td style="text-align:left">R<sup>2</sup></td><td>0.045</td></tr> <tr><td style="text-align:left">Adjusted R<sup>2</sup></td><td>0.043</td></tr> <tr><td style="text-align:left">Residual Std. Error</td><td>0.494 (df = 1057)</td></tr> <tr><td style="text-align:left">F Statistic</td><td>16.789<sup>***</sup> (df = 3; 1057)</td></tr> <tr><td colspan="2" style="border-bottom: 1px solid black"></td></tr><tr><td style="text-align:left"><em>Note:</em></td><td style="text-align:right"><sup>*</sup>p<0.1; <sup>**</sup>p<0.05; <sup>***</sup>p<0.01</td></tr> </table>
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<h4>Assumption Diagnostic Plots</h4>
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<img src="interaction_domain_assumptions.png" style="width: 100%; max-width: 800px;"/>
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</div>
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</div>
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</body>
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</html>
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